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- Title
Investigation of solutions of state-dependent multi-impulsive boundary value problems.
- Authors
Rontó, András; Rachůnková, Irena; Rontó, Miklós; Rachůnek, Lukáš
- Abstract
We describe a reduction technique allowing one to combine an analysis of the existence of solutions with an efficient construction of approximate solutions for a state-dependent multi-impulsive boundary value problem which consists of non-linear system of differential equations u'(t) = f(t, u(t)) for a.e. t ϵ [a, b], subject to the state-dependent impulse condition u(t+) - u(t-) = Yt(u(t-)) for t ϵ (a, b) such that g(t, u(t-)) = 0, and the non-linear two-point boundary condition V(u(a), u(b)) = 0.
- Subjects
BOUNDARY value problems; NONLINEAR analysis; DIFFERENTIAL equations; EXTERIOR differential systems; PARAMETRIC equations
- Publication
Georgian Mathematical Journal, 2017, Vol 24, Issue 2, p287
- ISSN
1072-947X
- Publication type
Article
- DOI
10.1515/gmj-2016-0084