Multiple positive solutions of a boundary value problem for \(n\)th-order impulsive integro-differential equations in a Banach space.

DOI10.1016/j.na.2003.10.023zbMath1054.45007OpenAlexW1980476494MaRDI QIDQ1428426

Dajun Guo

Publication date: 29 March 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2003.10.023

zbMATH Keywords

measure of noncompactnessboundary value problemBanach spacefixed point indexcompletely continuous operatormultiple positive solutionsVolterra integral operatorimpulsive integro-differential equationcone and partial orderingFredholm linear operator

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Abstract integral equations, integral equations in abstract spaces (45N05) Positive solutions of integral equations (45M20)

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Cites Work

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• Extremal solutions of nonlinear impulsive integrodifferential equations in Banach spaces
• Existence of solutions for \(n\)th order impulsive integro-differential equations in a Banach space.
• Periodic boundary value problems for second order impulsive integro-differential equations in banach spaces
• Quasi-solutions of nonlinear impulsive equations in abstract cones
• Nonlinear boundary value problems for first order impulsive integro-differential equations
• 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.