Document Type

Article

Publication Date

2011

Publication Source

Electronic Journal of Qualitative Theory of Differential Equations

Abstract

An impulsive boundary value problem with nonlinear boundary conditions for a second order ordinary differential equation is studied. In particular, sufficient conditions are provided so that a compression- expansion cone theoretic fixed point theorem can be applied to imply the existence of positive solutions. The nonlinear forcing term is assumed to satisfy usual sublinear or superlinear growth as t → ∞ or t → 0 +. The nonlinear impulse terms and the nonlinear boundary terms are assumed to satisfy the analogous asymptotic behavior.

Inclusive pages

1-11

ISBN/ISSN

1417-3875

Document Version

Published Version

Comments

The journal in which this article originally appeared is an open-access journal.

Permission documentation is on file.

Publisher

Bolyai Institute, University of Szeged and the Hungarian Academy of Sciences

Volume

21

Volume

21

Peer Reviewed

yes

Keywords

boundary value problem with impulse, nonlinear boundary condition, compression - expansion fixed point theorem

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