On the unique solvability of the boundary-value problems for Fredholm integrodifferential equations with degenerate kernel

DOI10.1007/s10958-016-3194-2zbMath1364.45007OpenAlexW2566242740MaRDI QIDQ521091

É. A. Bakirova, Dulat S. Dzhumabaev

Publication date: 6 April 2017

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-016-3194-2

zbMATH Keywords

solvabilityboundary value problemFredholm integro-differential equationsdegenerate kernel

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Fredholm integral equations (45B05)

Related Items (6)

A solvability of a problem for a Fredholm integro-differential equation with weakly singular kernel ⋮ Generalized solvability of the mixed value problem for a nonlinear integro-differential equation of higher order with a degenerate kernel ⋮ NONLOCAL PROBLEM FOR A SECOND ORDER FREDHOLM INTEGRO-DIFFERENTIAL EQUATION WITH DEGENERATE KERNEL AND REAL PARAMETERS ⋮ To a unique solvability of a problem with integral condition for integro-differential equation ⋮ On the solvability of a boundary value problem for the ordinary Fredholm integrodifferential equation with a degenerate kernel ⋮ A solution to a boundary-value problem for integro-differential equations with weakly singular kernels

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Necessary and sufficient conditions for the solvability of linear boundary-value problems for the Fredholm integrodifferential equations
• An efficient numerical approximation for the linear class of Fredholm integro-differential equations based on Cattani's method
• An effective approach for numerical solutions of high-order Fredholm integro-differential equations
• Criteria for the unique solvability of a linear two-point boundary value problem for systems of integro-differential equations
• A method for solving the linear boundary value problem for an integro-differential equation
• Evolutionary Integral Equations and Applications
• An algorithm for solving a linear two-point boundary value problem for an integrodifferential equation
• Piecewise Polynomial Collocation for Fredholm Integro-Differential Equations with Weakly Singular Kernels

This page was built for publication: On the unique solvability of the boundary-value problems for Fredholm integrodifferential equations with degenerate kernel