Multiplicity of solutions to two-point boundary value problems for second-order impulsive differential equations
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摘要
In this paper, we obtain some sufficient condition for the existence of at least three solutions to two-point boundary value problems for second-order impulsive differential equations by using Leray–Schauder degree theory. We assume the existence of two pairs of strict lower and upper solutions and the nonlinear term f satisfies a Nagumo’s growth condition with respect to the first order derivative.
论文关键词:Boundary value problem,Impulsive differential equations,Nagumo’s condition,Lower and upper solutions,Leray–Schauder degree,Multiple solutions
论文评审过程:Available online 18 October 2008.
论文官网地址:https://doi.org/10.1016/j.amc.2008.10.009