Electronic Journal of Qualitative Theory of Differential Equations
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.
Copyright © 2011, Bolyai Institute, University of Szeged and the Hungarian Academy of Sciences
Bolyai Institute, University of Szeged and the Hungarian Academy of Sciences
boundary value problem with impulse, nonlinear boundary condition, compression - expansion fixed point theorem
Eloe, Paul and Usman, Muhammad, "Fully Nonlinear Boundary Value Problems with Impulse" (2011). Mathematics Faculty Publications. 7.