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Title: Higher order periodic impulsive problems,
Authors: Minhós, Feliz
Carapinha, Rui
Editors: León, Manuel de
Feng, Wei
Feng, Zhaosheng
Keywords: Phi-Laplacian differential equations
generalized impulsive conditions
upper and lower solutions
Nagumo condition
Issue Date: Nov-2015
Publisher: American Institute of Mathematical Sciences
Citation: F. Minhós, R. Carapinha, On higher order nonlinear impulsive boundary value problems, Dynamical Systems, Differential Equations and Applications AIMS Proceedings, 2015, pp. 851–860
Abstract: This work studies some two point impulsive boundary value problems composed by a fully differential equation, which higher order contains an increasing homeomorphism, by two point boundary conditions and impulsive effects. We point out that the impulsive conditions are given via multivariate generalized functions, including impulses on the referred homeomorphism. The method used apply lower and upper solutions technique together with fixed point theory. Therefore we have not only the existence of solutions but also the localization and qualitative data on their behavior. Moreover a Nagumo condition will play a key role in the arguments.
Type: article
Appears in Collections:MAT - Artigos em Livros de Actas/Proceedings
CIMA - Artigos em Livros de Actas/Proceedings

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