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Existence and Localization of Unbounded Solutions for Fully Nonlinear Systems of Jerk Equations on the Half-Line

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Abstract

In the following paper, we have shown the existence and localization of solutions for a system of \(n\) third order differential equations under Sturm-Liouville type boundary conditions. Such systems appear in many physical problems, one of which is the jerk equations to locate the trajectory of a material point in space.

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Acknowledgements

The authors are thankful to the anonymous referee for his/her careful reading of the original manuscript, which led to substantial improvements.

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Authors and Affiliations

  1. École Nationale Supérieure d’Hydraulique, Blida, Algeria

    Ali Zerki

  2. Departement of Mathematics, Faculty of Sciences, Laboratory of Mathematical Analysis and Applications, Algiers University 1, Algiers, Algeria

    Kamal Bachouche

  3. Department of Mathematics, Laboratoire Théorie du point fixe et Applications, École Normale Supérieure, BP 92, Kouba, 16006, Algiers, Algeria

    Ali Zerki & Karima Ait-Mahiout

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  1. Ali Zerki
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  2. Kamal Bachouche
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  3. Karima Ait-Mahiout
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All authors contributed equally to this work.

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Correspondence to Ali Zerki.

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Zerki, A., Bachouche, K. & Ait-Mahiout, K. Existence and Localization of Unbounded Solutions for Fully Nonlinear Systems of Jerk Equations on the Half-Line. Acta Appl Math 190, 4 (2024). https://doi.org/10.1007/s10440-024-00635-4

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