Existence and uniqueness of nontrivial collocation solutions of implicitly linear homogeneous Volterra integral equations

DOI10.1016/J.CAM.2011.02.026zbMath1216.65180arXiv1112.4649OpenAlexW1993753222MaRDI QIDQ534251

R. Benítez, Vicente J. Bolós

Publication date: 17 May 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.4649

zbMATH Keywords

numerical examplescollocation methodsnontrivial solutionsnon-Lipschitz nonlinearitynonlinear homogeneous Volterra-Hammerstein integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Volterra integral equations (45D05)

Related Items (6)

Blow-up collocation solutions of nonlinear homogeneous Volterra integral equations ⋮ A new contraction condition and its application to weakly singular Volterra integral equations of the second kind ⋮ Application of Fibonacci collocation method for solving Volterra-Fredholm integral equations ⋮ Taylor collocation method and convergence analysis for the Volterra-Fredholm integral equations ⋮ A stopping rule for an iterative algorithm in systems of integral equations ⋮ Non-Lipschitz Homogeneous Volterra Integral Equations

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