A initial value problems for first-order impulsive differential equations in Banach spaces

DOI10.1007/BF02458537zbMath0985.34049OpenAlexW2061362012MaRDI QIDQ1576258

Qinfu Sun, Shixia Luan

Publication date: 10 May 2002

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02458537

zbMATH Keywords

lower and upper solutionsintegrodifferential equationinitial problem

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Ordinary differential equations with impulses (34A37) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20)

Cites Work

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• On the initial value problems of first order impulsive differential systems
• Extremal solutions of nonlinear impulsive integrodifferential equations in Banach spaces
• Quasi-solutions of nonlinear impulsive equations in abstract cones

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