Existence of Global Solutions for a Class of Abstract Second-Order Nonlocal Cauchy Problem with Impulsive Conditions in Banach Spaces

DOI10.1080/01630563.2017.1414060zbMath1392.34071OpenAlexW2771857190MaRDI QIDQ4639212

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Publication date: 3 May 2018

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2017.1414060

zbMATH Keywords

evolution equationsmild solutionsglobal solutionsimpulsive systemsnonlocal conditionscosine function of operatorsabstract second-order Cauchy problem

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) One-parameter semigroups and linear evolution equations (47D06) Nonlinear differential equations in abstract spaces (34G20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Impulsive partial differential equations (35R12)

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