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Comparison Theorems for Second-Order Functional Differential Equations

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Book cover Recent Advances in Delay Differential and Difference Equations

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 94))

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Abstract

The effect of the deviating argument on the existence of nonoscillatory solutions for second-order differential equations with p-Laplacian is studied by means of the comparison with a half-linear equation. As a consequence, necessary and sufficient conditions for the existence of the so-called intermediate solutions are given and the coexistence with different types of nonoscillatory solutions is analyzed. Moreover, new oscillation results are established too.

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Acknowledgements

The first author is supported by the grant GAP201/11/0768 of the Czech Grant Agency.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Masaryk University, Kotlářská 2, 611 37, Brno, Czech Republic

    Zuzana Došlá

  2. Department of Mathematics and Informatics “Ulisse Dini”, University of Florence, Via S. Marta 3, 50139, Florence, Italy

    Mauro Marini

Authors
  1. Zuzana Došlá
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  2. Mauro Marini
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Corresponding author

Correspondence to Zuzana Došlá .

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Editors and Affiliations

  1. Department of Mathematics, University of Pannonia, Veszprém, Hungary

    Ferenc Hartung

  2. Department of Mathematics, University of Pannonia, Veszprém, Hungary

    Mihály Pituk

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Došlá, Z., Marini, M. (2014). Comparison Theorems for Second-Order Functional Differential Equations. In: Hartung, F., Pituk, M. (eds) Recent Advances in Delay Differential and Difference Equations. Springer Proceedings in Mathematics & Statistics, vol 94. Springer, Cham. https://doi.org/10.1007/978-3-319-08251-6_2

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