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Limit Point Criteria for Second-Order Sturm–Liouville Equations on Time Scales

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Differential and Difference Equations with Applications (ICDDEA 2015)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 164))

Abstract

Necessary and sufficient conditions for the classification of the second-order Sturm–Liouville equation on time scales being in the limit point case are established. They unify and extend some of the criteria known for the second-order Sturm–Liouville differential and difference equations.

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Acknowledgements

The author is grateful to professor Roman Šimon Hilscher for his comments and suggestions.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Faculty of Science, Masaryk University, Brno, Czech Republic

    Petr Zemánek

Authors
  1. Petr Zemánek
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Correspondence to Petr Zemánek .

Editor information

Editors and Affiliations

  1. Departamento de Ciências Exactas e Naturais, Academia Militar, Amadora, Portugal

    Sandra Pinelas

  2. Department of Mathematics and Statistics, Masaryk University, Brno, Czech Republic

    Zuzana Došlá

  3. Department of Mathematics and Statistics, Masaryk University, Brno, Czech Republic

    Ondřej Došlý

  4. School of Mathematics and Stastistics, Huazhong University of Science and Technology, Wuhan, China

    Peter E. Kloeden

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Zemánek, P. (2016). Limit Point Criteria for Second-Order Sturm–Liouville Equations on Time Scales. In: Pinelas, S., Došlá, Z., Došlý, O., Kloeden, P. (eds) Differential and Difference Equations with Applications. ICDDEA 2015. Springer Proceedings in Mathematics & Statistics, vol 164. Springer, Cham. https://doi.org/10.1007/978-3-319-32857-7_31

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