EXISTENCE AND UNIQUENESS OF MILD AND STRONG SOLUTIONS OF NONLINEAR VOLTERRA INTEGRODIFFERENTIAL EQUATIONS IN BANACH SPACES

DOI10.1515/dema-2010-0312zbMath1228.45009OpenAlexW210069922MaRDI QIDQ3006492

Machindra B. Dhakne, Haribhau L. Tidke

Publication date: 14 June 2011

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2010-0312

zbMATH Keywords

strong solutionsnonlocal conditioncontinuous dependencePachpatte's inequalityVolterra integrodifferential

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Nonlinear differential equations in abstract spaces (34G20) Fixed-point theorems (47H10)

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Existence and differentiability of solutions for nondensely defined neutral integro-differential evolution equations

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