Zobrazeno 1 - 10
of 10
pro vyhledávání: '"V A Kalitvin"'
Publikováno v:
Journal of Mathematical Sciences. 249:954-966
We obtain Fredholm criteria for linear equations with multidimensional partial integrals in the space of continuous functions of three variables provided that the kernels are continuous vector-valued functions on a rectangle with the values in spaces
Autor:
V. A. Kalitvin
Publikováno v:
Journal of Mathematical Sciences. 249:967-973
We study the Fredholm property of linear equations with partial integrals and kernels in some classes. We show that a linear operator with partial integrals acts in the space of integrable functions and in the space of continuous functions defined in
Autor:
V A Kalitvin, A. S. Kalitvin
Publikováno v:
Contemporary Mathematics. Fundamental Directions. 65:390-433
We consider linear operators and equations with partial integrals in Banach ideal spaces, spaces of vector functions, and spaces of continuous functions. We study the action, regularity, duality, algebras, Fredholm properties, invertibility, and spec
Autor:
V. A. Kalitvin, A. S. Kalitvin
Publikováno v:
Far East Journal of Mathematical Sciences (FJMS). 102:2587-2598
Publikováno v:
Journal of Mathematical Sciences. 219:133-142
We establish the existence and uniqueness of continuous solutions to systems of linear and nonlinear integral equations with partial integrals, with partial integrals and potential type kernels, and fractional partial integrals. We obtain conditions
Autor:
V. A. Kalitvin
Publikováno v:
Journal of Mathematical Sciences. 219:143-149
The method of mechanical quadratures is applied to linear Volterra integral equations with partial integrals among which there is an integral with an unbounded kernel. We construct numerical algorithms based on replacing integrals with quadrature for
Autor:
V. A. Kalitvin, A. S. Kalitvin
Publikováno v:
Journal of Mathematical Sciences. 219:125-132
We establish the existence and uniqueness conditions for the weighted Cauchy type problem and the Cauchy problem for the linear Barbashin integro-differential equation with fractional partial derivative of order 0 < α ≤ 1 in the sense of Riemann�
Autor:
V. A. Kalitvin
Publikováno v:
Journal of Mathematical Sciences. 208:168-173
Based on replacing integrals with quadrature and cubature formulas, we propose an algorithm for numerical solution of the linear Volterra equation with partial integrals and prove the convergence of this algorithm.
Autor:
V. A. Kalitvin
Publikováno v:
Journal of Mathematical Sciences. 188:250-255
We study the numerical solution of the Barbashin integro-differential equations with a given initial condition. Bibliography: 5 titles.
Autor:
V. V. Kalitvin, N. V. Riabukhina
Publikováno v:
Statutes and Decisions. 43:3-11