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Eigenvalue Problems for Systems of Nonlinear Boundary Value Problems on Time Scales

Advances in Difference Equations volume 2007, Article number: 031640 (2008) Cite this article

Abstract

Values of λ are determined for which there exist positive solutions of the system of dynamic equations, , , for , satisfying the boundary conditions, , where is a time scale. A Guo-Krasnosel'skii fixed point-theorem is applied.

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Authors and Affiliations

  1. Laboratoire de Mathématiques, Université de Sidi Bel Abbès, BP 89, 22000, Sidi Bel Abbès, Algeria

    M. Benchohra

  2. Department of Mathematics, Baylor University, Waco, TX, 76798, USA

    J. Henderson

  3. Department of Mathematics, University of Ioannina, Ioannina, 45110, Greece

    S. K. Ntouyas

Authors
  1. M. Benchohra
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  2. J. Henderson
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  3. S. K. Ntouyas
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Correspondence to M. Benchohra.

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Benchohra, M., Henderson, J. & Ntouyas, S.K. Eigenvalue Problems for Systems of Nonlinear Boundary Value Problems on Time Scales. Adv Differ Equ 2007, 031640 (2008). https://doi.org/10.1155/2007/31640

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Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Analysis
  • Functional Equation