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A new approach to non-local boundary value problems for ordinary differential systems

Author

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  • Rontó, András
  • Rontó, Miklós
  • Varha, Jana

Abstract

We suggest a new constructive approach for the solvability analysis and approximate solution of general non-local boundary value problems for non-linear systems of ordinary differential equations with locally Lipschitzian non-linearities. The practical application of the techniques is explained on a numerical example.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:250:y:2015:i:c:p:689-700
    DOI: 10.1016/j.amc.2014.11.021
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    Cited by:

    1. Semary, Mourad S. & Hassan, Hany N. & Radwan, Ahmed G., 2018. "Modified methods for solving two classes of distributed order linear fractional differential equations," Applied Mathematics and Computation, Elsevier, vol. 323(C), pages 106-119.
    2. 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.

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