On higher order nonlinear impulsive boundary value problems

Feliz Minhós; Rui  Carapinha

doi:10.3934/proc.2015.0851

Article Contents

2015, Volume 2015: 851-860. Doi: 10.3934/proc.2015.0851 open access

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On higher order nonlinear impulsive boundary value problems

Feliz Minhós^1, and
Rui Carapinha^2,

1.
Departamento de Matemática. Universidade de Évora, Centro de Investigação em Matemática e Aplicaçoes da U.E. (CIMA-UE), Rua Romão Ramalho, 59. 7000-671 Évora
2.
Centro de Investigação em Matematica e Aplicações (CIMA-UE), Instituto de Investigação e Formacão Avançada, Universidade de Évora, Rua Romão Ramalho, 59, 7000-671 Évora

Received: June 30, 2014

Revised: October 31, 2014

Published: October 2015

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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.

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Mathematics Subject Classification: Primary: 34B37; Secondary: 34B15.

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References

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