Multiple positive solutions to superlinear repulsive singular impulsive differential equations

DOI10.1016/J.CAMWA.2006.03.027zbMath1132.34024OpenAlexW1972882977MaRDI QIDQ2458521

Shigang Wang, Yuhong Zhu, Hexin Chen

Publication date: 1 November 2007

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.03.027

zbMATH Keywords

Leray-Schauder alternativeKrasnoselskii's fixed-point theoremmultiple positive solutionssingular problemimpulsive boundary value problem

Mathematics Subject Classification ID

Singular nonlinear boundary value problems for ordinary differential equations (34B16) Boundary value problems with impulses for ordinary differential equations (34B37)

Cites Work

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• Basic theory for nonresonance impulsive periodic problems of first order
• Periodic boundary value problems for functional differential equations with impulses
• Periodic boundary value problems for a class of second-order impulsive integro-differential equations in Banach spaces
• Multiple positive solutions to superlinear periodic boundary value problems with repulsive singular forces
• Periodicity in a generalized ecological competition system governed by impulsive differential equations with delays
• Periodic boundary value problems for second order impulsive integrodifferential equations of mixed type in Banach spaces
• The nonoscillatory solutions of delay differential equations with impulses
• Über die Methode der a priori-Schranken
• Periodic boundary value problem for the second order impulsive functional differential equations
• Existence of nonnegative and nonpositive solutions for second order periodic boundary value problems

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