Bifurcation of positive periodic solutions of first-order impulsive differential equations
Department of Mathematics, Northwest Normal University, Lanzhou, 730070, P.R. China
Citation and License
Boundary Value Problems 2012, 2012:83 doi:10.1186/1687-2770-2012-83
Published: 1 August 2012
We give a global description of the branches of positive solutions of first-order
impulsive boundary value problem:
which is not necessarily linearizable. Where is a parameter, are given impulsive points. Our approach is based on the Krein-Rutman theorem, topological
degree, and global bifurcation techniques.
34B10, 34B15, 34K15, 34K10, 34C25, 92D25.
Keywords: Krein-Rutman theorem; topological degree; bifurcation from interval; impulsive boundary value problem; existence and multiplicity