Solvability Criterion for Linear Boundary-Value Problems for Integrodifferential Fredholm Equations with Degenerate Kernels in Banach Spaces

被引:2
作者
Boichuk, A. A. [1 ]
Zhuravlev, V. F. [2 ]
机构
[1] Natl Acad Sci Ukraine, Inst Math, Kiev, Ukraine
[2] Polissya Natl Univ, Zhytomyr, Ukraine
关键词
D O I
10.1007/s11253-021-01881-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
With the use of the theory of generalized inversion of operators and integral operators, we obtain a criterion of solvability and determine the general form of solutions of a linear boundary-value problem for the integrodifferential equation with degenerate kernel in a Banach space.
引用
收藏
页码:1695 / 1714
页数:20
相关论文
共 19 条
[1]  
Boichuk AA., 2019, NORMALLY SOLVABLE BO
[2]  
Daletskii Yu. L., 1970, Stability of Solutions of Differential Equations in Banach Space
[3]   Criteria for the unique solvability of a linear two-point boundary value problem for systems of integro-differential equations [J].
Dzhumabaev, D. S. ;
Bakirova, E. A. .
DIFFERENTIAL EQUATIONS, 2013, 49 (09) :1087-1102
[4]  
Falaleev M. V, 2012, IZV IRKUTSK GOS U MA, P90
[5]  
Gupta V, 2015, NONLINEAR DYNAMICS S, V15, P370
[6]  
Krein S. G., 1971, LINEAR EQUATIONS BAN
[7]  
Kumar P., 2016, Nonlinear Dyn. Syst. Theory, V16, P73
[8]  
Lando YuK., 1968, DIFF URAVN, V4, P1112
[9]  
Popov M. M., 2007, MAT SOHODNI 07, P78
[10]  
Samoilenko A. M., 1996, UKR MAT ZH, V48, P1576