A constructive approach to boundary value problems with state-dependent impulses

Irena Rachůnková, Lukáš Rachůnek, András Rontó and Miklós Rontó

Applied Mathematics and Computation, 2016, vol. 274, issue C, 726-744

Abstract: We investigate the non-linear system of ordinary differential equations u′(t)=f(t,u(t)),a.e.t∈[a,b],subject to the state-dependent impulse condition u(t+)−u(t−)=γ(u(t−))fort∈(a,b)suchthatg(t,u(t−))=0and the linear two-point boundary condition Au(a)+Cu(b)=d.Here, −∞Keywords: Non-linear system of differential equations; Impulse effect; Parameterization; Successive approximations; Variable jumps (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:274:y:2016:i:c:p:726-744

DOI: 10.1016/j.amc.2015.11.033

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