Existence and uniqueness of solutions to weakly singular integral-algebraic and integro-differential equations

DOI10.2478/s11533-013-0334-5zbMath1292.45005OpenAlexW2134892228MaRDI QIDQ2440574

Pedro M. Lima, Mikhail Valer'yanovich Bulatov, Ewa B. Weinmüller

Publication date: 19 March 2014

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-013-0334-5

zbMATH Keywords

integro-differential equationssystemweakly singular kerneltwo-dimensional Volterra integral-algebraic equations

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Integro-ordinary differential equations (45J05) Volterra integral equations (45D05)

Related Items (11)

Numerical solution of integral-algebraic equations with weakly singular kernels by \(k\)-step methods ⋮ Discontinuous piecewise polynomial collocation methods for integral-algebraic equations of Hessenberg type ⋮ On a mixed Galerkin method for semi-explicit index-1 integro-differential algebraic equations ⋮ Properties of degenerate systems of linear integro-differential equations and initial value problems for these equations ⋮ Numerical Analysis and Computational Solution of Integro-Differential Equations ⋮ Convergence analysis of the product integration method for solving the fourth kind integral equations with weakly singular kernels ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Structural analysis of integro-differential-algebraic equations ⋮ Jacobi spectral solution for weakly singular integral algebraic equations of index 1 ⋮ Numerical solution of integral-algebraic equations with a weak boundary singularity by \(k\)-step methods

Cites Work

• Differential-algebraic equations. A projector based analysis
• Jacobi spectral solution for integral algebraic equations of index-2
• Two-dimensional integral-algebraic systems: analysis and computational methods
• Application of matrix polynomials to the analysis of linear differential-algebraic equations of higher order
• Transformations of differential-algebraic systems of equations
• Integro-differential systems with a degenerate matrix multiplying the derivative
• On a family of singular integro-differential equations
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
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