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

Author

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  • Rachůnková, Irena
  • Rachůnek, Lukáš
  • Rontó, András
  • Rontó, Miklós

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, −∞

Suggested Citation

  • Rachůnková, Irena & Rachůnek, Lukáš & Rontó, András & Rontó, Miklós, 2016. "A constructive approach to boundary value problems with state-dependent impulses," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 726-744.
    • Handle: RePEc:eee:apmaco:v:274:y:2016:i:c:p:726-744
    DOI: 10.1016/j.amc.2015.11.033
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    References listed on IDEAS

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    1. Elena Goncharova & Maxim Staritsyn, 2012. "Optimization of Measure-Driven Hybrid Systems," Journal of Optimization Theory and Applications, Springer, vol. 153(1), pages 139-156, April.
    2. Rontó, András & Rontó, Miklós & Varha, Jana, 2015. "A new approach to non-local boundary value problems for ordinary differential systems," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 689-700.
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