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Integral Equations:     more books (108)

Volterra Integral and Differential Equations, Volume 202, Second Edition (Mathematics in Science and Engineering) by Ted A. Burton Ph.D.Professor Emeritus of Southern Illinois UniversityCarbondaleIllinois 62901, 2005-06-04 A First Course in Integral Equations by Abdul-Majid Wazwaz, 1997-06-01 Integral Equations by F. G. Tricomi, 1985-03-01 Handbook of Integral Equations: Second Edition (Handbooks of Mathematical Equations) by Andrei D. Polyanin, Alexander V. Manzhirov, 2008-02-12 The Boundary Integral Equation Method in Axisymmetric Stress Analysis Problems (Lecture Notes in Engineering) by A. A. Bakr, 1986-02 The Numerical Solution of Integral Equations of the Second Kind (Cambridge Monographs on Applied and Computational Mathematics) by Kendall E. Atkinson, 2009-03-12 Linear Integral Equations (Applied Mathematical Sciences) (Vol 82) by Rainer Kress, 1999-03-26 Partial Differential Equations of Mathematical Physics and Integral Equations by Ronald B. Guenther, John W. Lee, 1996-02-09 Integral Geometry and Inverse Problems for Kinetic Equations (Inverse and Ill-Posed Problems Series, 28) by A. Kh Amirov, 2001-12 Theory of Functionals and of Integral and Integro-Differential Equations (Dover Phoenix Editions) by Vito Volterra, 2005-01-27 Integral Equation Methods for Electromagnetics (Artech House Antennas and Propagation Library) by Joseph Mautz, 1991-10-01 Collocation Methods for Volterra Integral and Related Functional Differential Equations (Cambridge Monographs on Applied and Computational Mathematics) by Hermann Brunner, 2004-11-15 Differential and Integral Equations (Oxford Handbooks) by Peter Collins, 2006-10-05 Integral Transforms and Their Applications (Texts in Applied Mathematics) by Brian Davies, 2010-11-02

lists with details

1. DIE
   Differential and integral equations will publish carefully selected research paperson mathematical aspects of differential and integral equations and on  
   http://www.aftabi.com/DIE/die.html
   
   Extractions: Differential and Integral Equations Editorial Board Volume 16 (2003) Volume 15 (2002) Volume 14 (2001) Volume 13 (2000) Volume 12 (1999) Volume 11 (1998) Volume 10 (1997) Volume 9 (1996) Volume 8 (1995) Volume 7 (1994) Volume 6 (1993) Volume 5 (1992) Volume 4 (1991) Volume 3 (1990) Volume 2 (1989) Volume 1 (1988) Khayyam Publishing, P.O. Box 429, Athens, Ohio 45701, USA Phone (740) 592-6136 email: khayyam@aftabi.com Differential and Integral Equations will publish carefully selected research papers on mathematical aspects of differential and integral equations and on applications of the mathematical theory to issues arising in the sciences and in engineering. Papers submitted to this journal should be correct, new, and of interest to a substantial number of mathematicians working in these areas. Instructions to Authors: Manuscripts should be typed on one side of 8.5 X 11 inch (21.5 X 28 cm) paper, double-spaced (including references), with wide margins. The author's name should be typed on the line below the title, and the affiliation and address should follow on the next line. Place any footnotes to the title at the bottom of page 1. Each paper requires a brief abstract not exceeding 150 words summarizing the techniques and main conclusions. AMS subject classifications must accompany all articles. They must be placed at the bottom of page 1 before any other footnotes. Each paper requires a separate page containing an abbreviated version of the title for the running head no more than 40 characters long, and the name and mailing address of the author to whom proofs should be sent. Equations should be centered with the number of the equation placed in parentheses at the right margin. Each figure is to be drafted in high contrast on a separate piece of white paper in a form suitable for photographic reproduction and reduction.

2. IEOT Published By Birkhäuser Verlag AG
   IEOT. integral equations and Operator Theory ISSN 0378620X Publishedby Birkhäuser Verlag IEOT is devoted to the publication of  
   http://www.birkhauser.ch/journals/2000/2000_tit.htm

3. Estrada/Ram, Singular Integral Equations
   Singular integral equations. 2000. 440 pages. Contents Preface Reference Material;Abel’s and Related integral equations; Cauchy Type integral equations;  
   http://www.birkhauser.ch/books/math/4085.htm
   
   Extractions: This is an ideal text for a mathematician, engineer, or graduate student in those fields interested in solutions of problems using integral equation methods. Such problems abound in applied mathematics, engineering, and mathematical physics, and to date, there is no modern text which treats singular integral equations exclusively. Contents: Preface Reference Material Cauchy Type Integral Equations Carleman Type Integral Equations Distributional Solutions of Singular Integral Equations Distributional Equations on the Whole Line Integral Equations with Logarithmic Kernels Wiener-Hopf Integral Equations Dual and Triple Integral Equations References

4. Journal Of Integral Equations And Applications
   Table of contents and some abstracts from vol.8 (1996).Category Science Math Publications JournalsJournal of integral equations and Applications. Editorial Board. Informationfor authors. Recent Publications. Volume 8, Number 1, Winter  
   http://math.la.asu.edu/~rmmc/jie/all.htm

5. FAST COLLOCATION SOLVERS FOR INTEGRAL EQUATIONS ON OPEN ARCS
   FAST COLLOCATION SOLVERS FOR integral equations ON OPEN ARCS. J. SARANENAND G. VAINIKKO. Abstract In this work we develop a unified  
   http://math.la.asu.edu/~rmmc/jie/VOL11-1/SAR/SAR.html
   
   Extractions: ON OPEN ARCS J. SARANEN AND G. VAINIKKO In this work we develop a unified approach for numerical approximation and fast solution of classical integral equations on open arcs. The approximation is obtained applying the cosine transform and fully discrete trigonometric collocation together with an asymptotic approximation of the operator. The computed approximation is of optimal accuracy order in a large scale of Sobolev norms, and it can be obtained in arithmetical operations. Our results cover logarithmic singular integral equations, Cauchy singular integral equations, as well as hypersingular integral equations.

6. Springer LINK - Integral Equations And Operator Theory - About This Journal
   integral equations and Operator Theory (IEOT). Published by BirkhäuserVerlag IEOT is devoted to the publication of current research  
   http://link.springer.de/link/service/journals/00020/

7. Journal Of Integral Equations And Applications
   Journal of integral equations and Applications. Editorial Board. Informationfor authors. Recent Publications. If you or your institution  
   http://rmmc.eas.asu.edu/jie/jie.html
   
   Extractions: If you or your institution is a subscriber to this journal you can view the journal at this site. The journal files are stored in PDF format. In order to view or print these files you need to obtain Adobe Acrobat Reader. Adobe Acrobat Reader is available at no charge on the Adobe Web site. Click on the image below to download a free copy of acrobat reader.

8. 45: Integral Equations
   Introduction. integral equations, naturally, seek functions which satisfy relationshipswith their integrals. Software and tables. integral equations software  
   http://www.math.niu.edu/~rusin/known-math/index/45-XX.html
   
   Extractions: POINTERS: Texts Software Web links Selected topics here Integral equations, naturally, seek functions which satisfy relationships with their integrals. For example, the value of a function at each time may be related to its average value over all preceding time. Included in this area are equations mixing integration and differentiation. Many of the themes from differential equations recur: qualitative questions, methods of approximation, specific types of equations of interest, transforms and operators useful for simplifying the problems. Linear integral equations Fredholm integral equations Eigenvalue problems, See also 34LXX, 35PXX, 45P05, 47A75 Volterra integral equations, See also 34A12 Singular integral equations, see also 30EXX, 44-XX, 30E20, 30E25, 44A15, 44A35 Systems of linear integral equations Nonlinear integral equations, see also 47H15 Miscellaneous special kernels, See also 44A15

9. Differential And Integral Equations, Operators
   Differential Equations and integral equations and Operators. 45 integral equations,naturally, seek functions which satisfy relationships with their integrals.  
   http://www.math.niu.edu/~rusin/known-math/index/tour_de.html
   
   Extractions: Search Subject Index MathMap Tour ... Help! Return to start of tour Up to Mathematical Analysis In these areas we seek to find properties of functions f knowing relationships between f and its derivatives or integrals; this includes the study of differential operators and their applications in mathematics. As can be seen from their position on the MathMap, these parts of Analysis are intimately connected with many of the applications of mathematics, particularly to parts of mathematical physics. 34: Ordinary differential equations are equations to be solved in which the unknown element is a function, rather than a number, and in which the known information relates that function to its derivatives. Few such equations admit an explicit answer, but there is a wealth of qualitative information describing the solutions and their dependence on the defining equation. There are many important classes of differential equations for which detailed information is available. Applications to engineering and the sciences abound. Today, numerical solutions are actively studied. 35: Partial differential equations begin with much the same formulation as ordinary differential equations, except that the functions to be found are functions of several variables. Again, one generally looks for qualitative statements about the solution. For example, in many cases, solutions exist only if some of the parameters lie in a specific set (say, the set of integers). Various broad families of PDE's admit general statements about the behaviour of their solutions. This area has a long-standing close relationship with the physical sciences, especially physics, thermodynamics, and quantum mechanics.

10. The Math Forum - Math Library - Integral Equations
    This page contains sites relating to integral equations. Browse and Searchthe Library Home Math Topics Analysis integral equations.  
    http://mathforum.org/library/topics/integral_eqns/
    
    Extractions: A short article designed to provide an introduction to integral equations, which seek functions that satisfy relationships with their integrals. For example, the value of a function at each time may be related to its average value over all preceding time. Included in this area are equations mixing integration and differentiation. Many of the themes from differential equations recur: qualitative questions, methods of approximation, specific types of equations of interest, transforms and operators useful for simplifying the problems. History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. more>>

11. About "Integral Equations"
    integral equations. Library Home Full Table of Contents Suggest a Link Library Help Resource Types Articles. Math Topics integral equations.  
    http://mathforum.org/library/view/7606.html
    
    Extractions: Visit this site: http://www.math.niu.edu/~rusin/known-math/index/45-XX.html Author: Dave Rusin; The Mathematical Atlas Description: A short article designed to provide an introduction to integral equations, which seek functions that satisfy relationships with their integrals. For example, the value of a function at each time may be related to its average value over all preceding time. Included in this area are equations mixing integration and differentiation. Many of the themes from differential equations recur: qualitative questions, methods of approximation, specific types of equations of interest, transforms and operators useful for simplifying the problems. History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. Levels: College Languages: English Resource Types: Articles Math Topics: Integral Equations

12. KLUWER Academic Publishers | Integral Equations
    Differential and integral equations through Practical Problems and Exercises GheorgheMicula, Paraschiva Pavel August 1992, ISBN 07923-1890-0, Hardbound  
    http://www.wkap.nl/home/topics/J/5/2/

13. KLUWER Academic Publishers | Methods In Nonlinear Integral Equations
    Books » Methods in Nonlinear integral equations. Methods in Nonlinearintegral equations. Add to cart. by Radu Precup Dept. of Applied  
    http://www.wkap.nl/prod/b/1-4020-0844-9
    
    Extractions: Methods in Nonlinear Integral Equations presents several extremely fruitful methods for the analysis of systems and nonlinear integral equations. They include: fixed point methods (the Schauder and Leray-Schauder principles), variational methods (direct variational methods and mountain pass theorems), and iterative methods (the discrete continuation principle, upper and lower solutions techniques, Newton's method and the generalized quasilinearization method). Many important applications for several classes of integral equations and, in particular, for initial and boundary value problems, are presented to complement the theory. Special attention is paid to the existence and localization of solutions in bounded domains such as balls and order intervals. The presentation is essentially self-contained and leads the reader from classical concepts to current ideas and methods of nonlinear analysis.

14. Integral Equations
    integral equations. see also Integral Equation. Corduneanu, C. integral equationsand Applications. Cambridge, England Cambridge University Press, 1991.  
    http://www.ericweisstein.com/encyclopedias/books/IntegralEquations.html
    
    Extractions: see also Integral Equation Corduneanu, C. Integral Equations and Applications. Cambridge, England: Cambridge University Press, 1991. 366 p. $100. Davis, Harold Thayer. Introduction to Nonlinear Differential and Integral Equations. New York: Dover, 1962. 581 p. $10.95. Hochstadt. Integral Equations. New York: Wiley, 1989. $67.95. Kondo, Jiro. Integral Equations. Oxford, England: Clarendon Press, 1992. 464 p. $52.95. Lovitt, William Vernon. Linear Integral Equations. New York: Dover, 1950. 253 p. Mikhlin, Solomon Grigorevich. Integral Equations and their Applications to Certain Problems in Mechanics, Mathematical Physics and Technology, 2nd rev. ed. New York: Macmillan, 1964. 341 p. Muskhelishvili, Nikolai Ivanovich. Singular Integral Equations: Boundary Problems of Function Theory and their Application to Mathematical Physics. Pipkin, A.C. A Course on Integral Equations. New York: Springer-Verlag, 1991. 268 p. $39. Polyanin, Andrei D. and Manzhirov, Alexander V. Handbook of Integral Equations.

15. Integral Equations
    integral equations. by numericalmethods.com integral equations are solved byreplacing the integral by a numerical integration or quadrature formula.  
    http://www.scientific-computing.co.uk/numerme/inteq.htm
    
    Extractions: by numerical-methods.com In their simplest form, integral equations are equations in one variable (say t) that involve an integral over a domain of another variable (s) of the product of a kernel function K(s,t) and another (unknown) function (f(s)). The purpose of the numerical solution is to determine the unknown function f. If the limit(s) on the integration domain are fixed then it is said to be a Fredholm Equation. If the limit(s) on the integration domain are not fixed then it is said to be a Volterra Equation. Integral equations are solved by replacing the integral by a numerical integration or quadrature formula . The integral equation is then reduced to a linear equation with the values of f at the quadrature points being unknown at the outset. The solution of the linear equation(s) gives the approximate values of f at the quadrature points. Fredholm Equations Fredholm equations occur in two forms: Fredholm equations of the first kind and Fredholm equations of the second kind. There is a close analogy between Fredholm equations and linear systems of equations ; the functions can be viewed as vectors, the integration over the kernel function as a matrix. The solution generally involves replacing the integral equation by a linear system and then solving it. Clearly the accuracy of this method depends partially on the accuracy of the numerical integration method; the more quadrature points the better.

16. INTEGRAL EQUATIONS
    Search this term on the WWW Back to Start Page for IEEE KeywordSelection integral equations. Broader Terms EQUATIONS Related Terms  
    http://www.ieee.org/web/developers/webthes/00001655.htm

17. JosseyBass :: Integral Equations
    Mathematics Special Topics, integral equations Harry Hochstadt ISBN 0471-50404-1Paperback 294 Pages January 1989 US $105.00 Add to Cart.  
    http://www.josseybass.com/cda/product/0,,0471504041|desc|2733,00.html
    
    Extractions: This classic work is now available in an unabridged paperback edition. Hochstatdt's concise treatment of integral equations represents the best compromise between the detailed classical approach and the faster functional analytic approach, while developing the most desirable features of each. The seven chapters present an introduction to integral equations, elementary techniques, the theory of compact operators, applications to boundary value problems in more than dimension, a complete treatment of numerous transform techniques, a development of the classical Fredholm technique, and application of the Schauder fixed point theorem to nonlinear equations.

18. JosseyBass :: Introduction To Integral Equations With Applications, 2nd Edition
    JosseyBass, Introduction to integral equationswith Applications, 2nd Edition by A. Jerri.  
    http://www.josseybass.com/cda/product/0,,0471317349|desc|2733,00.html

19. Integral Equation -- From MathWorld
    integral equations may be solved directly if they are separable. References.Corduneanu, C. integral equations and Applications.  
    http://mathworld.wolfram.com/IntegralEquation.html
    
    Extractions: An equation involving a function f x ) and integrals of that function to solved for f x ). If the limits of the integral are fixed, an integral equation is called a Fredholm integral equation. If one limit is variable, it is called a Volterra integral equation. If the unknown function is only under the integral sign, the equation is said to be of the "first kind." If the function is both inside and outside, the equation is called of the "second kind." An example integral equation is given by

20. Logarithmic Integral Equations In Electromagnetics
    electronic mailing list. Logarithmic integral equations in Electromagnetics.Yu.V. Shestopalov, Yu.G. Smirnov and EV Chernokozhin. This book  
    http://www.vsppub.com/books/mathe/bk-LogIntEquEle.html
    
    Extractions: You can now add your name to our electronic mailing list Yu.V. Shestopalov, Yu.G. Smirnov and E.V. Chernokozhin This book presents an extensive overview of logarithmic integral operators with kernels depending on one or several complex parameters. Solvability of corresponding boundary value problems and determination of characteristic numbers are analyzed by considering these operators as operator-value functions of appropriate complex (spectral) parameters. Therefore, the method serves as a useful addition to classical approaches. Special attention is given to the analysis of finite-meromorphic operator-valued functions, and explicit formulas for some inverse operators and characteristic numbers are developed, as well as the perturbation technique for the approximate solution of logarithmic integral equations. All essential properties of the generalized single- and double-layer potentials with logarithmic kernels and Green's potentials are considered. Fundamentals of the theory of infinite-matrix summation operators and operator-valued functions are presented, including applications to the solution of logarithmic integral equations. Many boundary value problems for the two-dimensional Helmholtz equation are discussed and explicit formulas for Green's function of canonical domains with separated logarithmic singularities are presented. This book, presenting all necessary references to the spectral theory, will serve as an efficient instrument for the analysis of logarithmic integral equations and will be of value and interest to researchers in the field of mathematical physics, theoretical electromagnetics, integral equations and spectral theory of operators.

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