Existence of solutions to some retarded integrodifferential equations via the topological transversality theorem

DOI10.1016/J.NA.2009.11.045zbMath1182.26032OpenAlexW2013925998MaRDI QIDQ847356

Rui A. C. Ferreira

Publication date: 12 February 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.11.045

zbMATH Keywords

topological transversalityintegral inequalitiesretarded equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

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• A retarded Gronwall-like inequality and its applications
• Global existence of solutions for perturbed differential equations
• Topological transversality: Application to an integrodifferential equation
• On a nonlinear convolution equation occurring in the theory of water percolation
• On the existence and uniqueness of non-negative solutions of a certain non-linear convolution equation
• Nonlinear Alternative: Application to an Integral Equation
• NONLINEAR VOLTERRA INTEGRAL EQUATIONS WITH CONVOLUTION KERNELS

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