Solutions for second order impulsive integro-differential equation on unbounded domains in Banach spaces

DOI10.1007/s10483-006-0602-1zbMath1153.45011OpenAlexW2511869701WikidataQ115384293 ScholiaQ115384293MaRDI QIDQ944689

Fangqi Chen, Ruilan Tian, Yu-Shu Chen

Publication date: 17 September 2008

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

Full work available at URL: https://doi.org/10.1007/s10483-006-0602-1

zbMATH Keywords

initial value problemBanach spaceKuratowski measure of noncompactnessmaximal and minimal solutionsimpulsive integro-differential equationssecond order nonlinear integro-differential equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Abstract integral equations, integral equations in abstract spaces (45N05) Integro-differential operators (47G20)

Cites Work

• Impulsive integral equations in Banach spaces and applications
• Existence of solutions of boundary value problems for nonlinear second order impulsive differential equations in Banach spaces
• Initial value problems for second order impulsive integro-differential equations in Banach spaces
• Nonlinear impulsive Volterra integral equations in Banach spaces and applications
• Second order impulsive integro-differential equations on unbounded domains in Banach spaces11Research supported by the National Natural Science Foundation of China and the State Education Commission Doctoral Foundation of China.
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