Multiple positive solutions of a singular gelfand type problem for second-order impulsive differential systems

Authors:
Eun Kyoung Lee;Yong-Hoon Lee
Affiliations:
-;-
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2004

Citing 6
Cited 1

Multiple positive solutions of boundary-value problems for impulsive differential equations

Nonlinear Analysis: Theory, Methods & Applications
Positive solutions of singular boundary value problems

Nonlinear Analysis: Theory, Methods & Applications
A coupled system of difference equations

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Multiple nonnegative solutions for second order impulsive differential equations

Applied Mathematics and Computation
A multiplicity result of positive radial solutions for a multiparameter elliptic system on an exterior domain

Nonlinear Analysis: Theory, Methods & Applications - Series A: theory and methods
Positive solutions of generalized Emden-Fowler equation

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Existence and multiplicity of solutions for an impulsive boundary value problem with a parameter via critical point theory

Mathematical and Computer Modelling: An International Journal

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Abstract

We study the existence of multiple positive solutions of a singular boundary valueproblem for second-order impulsive differential systems with real multiparameters. The existence phenomenon of positive solutions depends on the parameters and we give a full analysis about multiplicity, existence, and nonexistence with respect to the parameters. Proofs are mainly employed by the upper and lower solutions method for systems and the fixed-point index argument.