THE NATIONAL ACADEMY OF SCIENCES OF BELARUS DOKLADY OF THE ACADEMY OF SCIENCES OF BELARUS (Doklady Akademii Nauk Belarusi) Published by The Belaruskaya Navuka Publishing House, Minsk, Republic of Belarus Volume 41, Number 2; MarchApril, 1997 CONTENTS MATHEMATICS Gaishun I.V. Axiomatic approach to the notion of fuzzy vector space. pp. 59 Summary: The system of axioms that single out the class of F -spaces, is suggested. The F -space has the set O of unit elements. The set O is equipped by the structure of partial order which consistent with the algebraic structure. The interconnection of F -space with the fuzzy vector spaces in the conception of L. Zadeh is established and the properties of F -space are investigated. Glaeske H.-J., Kilbas A.A., Saigo M., Shlapakov S.A. L v,r -theory of integral transforms with H -function as kernels. pp. 1015 Summary: m,n p,q H -function as the kernel are studied in the spaces L v,r vr-1 r H Vignoli A., Zabrejko P.P., Moroz V.B. Critical values of bounded from below functionals and Hammerstein equations. pp. 1621 | |
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