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Article
Fully Nonlinear Boundary Value Problems with Impulse
Electronic Journal of Qualitative Theory of Differential Equations
  • Paul Eloe, University of Dayton
  • Muhammad Usman, University of Dayton
Document Type
Article
Publication Date
1-1-2011
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
Peer Reviewed
Yes
Keywords
  • boundary value problem with impulse,
  • nonlinear boundary condition,
  • compression - expansion fixed point theorem
Citation Information
Paul Eloe and Muhammad Usman. "Fully Nonlinear Boundary Value Problems with Impulse" Electronic Journal of Qualitative Theory of Differential Equations Vol. 21 (2011)
Available at: http://works.bepress.com/muhammad_usman/1/