On the solvability of nonlinear impulsive boundary value problems
Keywords
Boundary value problems, Schauder's fixed point theorem, Lyapunov-Schmidt procedure, topological degree theoryAbstract
In this paper we provide sufficient conditions for the existence of solutions to two-point boundary value problems for nonlinear ordinary differential equations subject to impulses. Our results depend on properties of the nonlinearities as well as on the solution space of the associated linear problem. Our approach is based on topological degree arguments in conjunction with the Lyapunov-Schmidt procedure.Downloads
Published
2016-04-12
How to Cite
1.
MARONCELLI, Daniel and RODRÍGUEZ, Jesús. On the solvability of nonlinear impulsive boundary value problems. Topological Methods in Nonlinear Analysis. Online. 12 April 2016. Vol. 44, no. 2, pp. 381 - 398. [Accessed 24 April 2024].
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