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On Impulsive Delay Integrodifferential Equations with Integral Impulses

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arxiv 1812.11790 v2 pith:VPI7XEE5 submitted 2018-12-31 math.DS

Kishor D. Kucche , Pallavi U. Shikhare This is my paper · ORCID
classification math.DS
keywords integralequationsimpulsesdelayexistenceimpulsiveintegrodifferentialinvestigate
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The present research paper is devoted to investigate the existence, uniqueness of mild solutions for impulsive delay integrodifferential equations with integral impulses in Banach spaces. We also investigate the dependence of solutions on initial conditions, parameters and the functions involved in the equations. Our analysis is based on semigroup theory, fixed point technique and an application of Pachpatte's type integral inequality with integral impulses. An example is provided in support of existence result.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On the Nonlinear Impulsive Volterra-Fredholm Integrodifferential Equations

    math.CA 2019-08 reject novelty 5.0 of 10

    The paper's central new tool, a mixed-type Gronwall inequality for impulsive equations, contains a false bounding step, invalidating the data-dependence claims.

  2. Analysis of Volterra Integrodifferential Equations with Nonlocal and Boundary Conditions via Picard Operator

    math.CA 2019-08 conditional novelty 4.0 of 10

    Under Lipschitz continuity and a contraction condition, a second-order Volterra integrodifferential equation with nonlocal and boundary conditions has a unique solution that depends continuously on its data.

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