Quasilinear boundary value problem with impulses: variational approach to resonance problem

Boundary value problems

Martina Langerov¹  Pavel Drbek² 

[1] , Czech Republic;Department of Mathematics, University of West Bohemia, PlzeňNTIS, University of West Bohemia, Plzeň

关键词: quasilinear impulsive differential equations;    Landesman-Lazer condition;    variational methods;    critical point theory;    linking theorem;   

DOI  :  10.1186/1687-2770-2014-64

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper deals with the resonance problem for the one-dimensional p-Laplacian with homogeneous Dirichlet boundary conditions and with nonlinear impulses in the derivative of the solution at prescribed points. The sufficient condition of Landesman-Lazer type is presented and the existence of at least one solution is proved. The proof is variational and relies on the linking theorem. MSC:34A37, 34B37, 34F15, 49K35.

【 授权许可】

CC BY