Criteria for the unique solvability of a linear two-point boundary value problem for systems of integro-differential equations

被引：0

作者：

D. S. Dzhumabaev

E. A. Bakirova

机构：

[1] Ministry of Education and Science,Institute for Mathematics

来源：

Differential Equations | 2013年 / 49卷

关键词：

Integral Equation; Function System; Linear Boundary; Fredholm Integral Equation; Unique Solvability;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

For a linear boundary value problem for a Fredholm integro-differential equation, we obtain necessary and sufficient conditions for the unique solvability in terms of a matrix Qνm (h) formed on the basis of the matrices of boundary conditions, the differential part, the integral term, and a partition with increment h > 0 of the interval on which the problem is defined.

引用

页码：1087 / 1102

页数：15

共 50 条

[31] On the unique solvability of a nonlocal boundary value problem with data on intersecting lines for systems of hyperbolic equations
A. T. Asanova
Differential Equations, 2009, 45 : 385 - 394
[32] ON UNIQUE SOLVABILITY OF THE INITIAL VALUE PROBLEM FOR NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS
Dilna, Nataliya
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2008, 44 : 45 - 57
[33] On the unique solvability of a nonlocal boundary value problem with data on intersecting lines for systems of hyperbolic equations
Assanova, A. T.
DIFFERENTIAL EQUATIONS, 2009, 45 (03) : 385 - 394
[34] ANTIPERIODIC BOUNDARY VALUE PROBLEM FOR SYSTEMS OF LINEAR GENERALIZED DIFFERENTIAL EQUATIONS
Ashordia, Malkhaz
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2015, 66 : 141 - 152
[35] Solvability of a periodic boundary-value problem for systems of functional differential equations with cyclic matrices
Bravyi E.I.
Russian Mathematics, 2011, 55 (10) : 13 - 22
[36] On the Solvability of a Linear Boundary Value Problem with Impulse Effects for Differential System
Tleulessova, A. B.
Orazbekova, A. S.
Kalpakov, Y. N.
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2023, 44 (02) : 653 - 660
[37] Some Existence and Dependence Criteria of Solutions to a Fractional Integro-Differential Boundary Value Problem via the Generalized Gronwall Inequality
Rezapour, Shahram
Ntouyas, Sotiris K.
Amara, Abdelkader
Etemad, Sina
Tariboon, Jessada
MATHEMATICS, 2021, 9 (11)
[38] A multipoint boundary value problem for systems of linear generalized differential equations with singularities
M. T. Ashordia
Differential Equations, 2014, 50 : 987 - 1002
[39] A multipoint boundary value problem for systems of linear generalized differential equations with singularities
Ashordia, M. T.
DIFFERENTIAL EQUATIONS, 2014, 50 (08) : 987 - 1002
[40] ON THE SOLVABILITY OF THE PERIODIC PROBLEM FOR SYSTEMS OF LINEAR GENERALIZED ORDINARY DIFFERENTIAL EQUATIONS
Ashordia, Malkhaz
Chania, Medea
Kucia, Malkhaz
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2018, 74 : 7 - 26

← 1 2 3 4 5 →