Boundary-value problems for weakly singular integral equations

DOI10.3934/dcdsb.2021094zbMath1484.45001OpenAlexW3136787941MaRDI QIDQ2669200

Victor Feruk, Alexander A. Boichuk

Publication date: 9 March 2022

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2021094

zbMATH Keywords

bifurcationboundary-value problemFredholm operatorweakly singular integral equationmatrix projectorpseudo-inverse Moore-Penrose matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Integral operators (45P05) Integral operators (47G10) Fredholm integral equations (45B05) Singular integral equations (45E99)

Related Items (2)

Fredholm boundary-value problem for the system of fractional differential equations ⋮ Weakly perturbed linear boundary-value problem for system of fractional differential equations with Caputo derivative

Cites Work

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• Generalized inverse operators and Fredholm boundary-value problems. Translated from the Russian by P. V. Malyshev
• Boundary-value problems for weakly nonlinear delay differential systems
• On weakly singular Fredholm integral equations with displacement kernels
• Regularity of the solution to a class of weakly singular Fredholm integral equations of the second kind
• Variable transformations in the numerical solution of second kind Volterra integral equations with continuous and weakly singular kernels; extensions to Fredholm integral equations
• Linear boundary-value problems for weakly singular integral equations
• Weakly perturbed boundary-value problems for the Fredholm integral equations with degenerate kernel in Banach spaces
• Weakly perturbed integral equations
• Bifurcation conditions for a solution of an abstract wave equation
• Supergeometric Convergence of Spectral Collocation Methods for Weakly Singular Volterra and Fredholm Integral Equations with Smooth Solutions
• Generalized Jacobi Spectral-Galerkin Method for Nonlinear Volterra Integral Equations with Weakly Singular Kernels
• THE SOLUTION OF SOME PERTURBATION PROBLEMS FOR MATRICES AND SELFADJOINT OR NON-SELFADJOINT DIFFERENTIAL EQUATIONS I
• A Spline Product Quasi-interpolation Method for Weakly Singular Fredholm Integral Equations
• Galerkin Methods for Second Kind Integral Equations with Singularities
• Hybrid difference-differential boundary-value problem
• Weakly Perturbed Boundary-Value Problems for Systems of Integro-Differential Equations
• A convergence theorem for a class of Nyström methods for weakly singular integral equations on surfaces in $\mathbb {R}^3$

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