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Oscillation of Second-Order Functional Differential Equations with Superlinear Neutral Terms

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Abstract

This work deals with the study on the oscillatory behavior of solutions to a class of nonlinear second-order functional differential equation with superlinear neutral terms. It presents new sufficient conditions that ensure the oscillation of all solutions under the assumptions that allow applications to differential equations with delayed and/or advanced arguments. Illustrative examples are also provided to show applicability of the results.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Arts and Sciences, Tokat Gaziosmanpasa University, 60240, Tokat, Turkey

    Orhan Özdemir

  2. Institute of Graduate Studies, Tokat Gaziosmanpasa University, 60240, Tokat, Turkey

    Ayla Kılıç

Authors
  1. Orhan Özdemir
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  2. Ayla Kılıç
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Correspondence to Orhan Özdemir.

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Communicated by Pham Huu Anh Ngoc.

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Özdemir, O., Kılıç, A. Oscillation of Second-Order Functional Differential Equations with Superlinear Neutral Terms. Bull. Malays. Math. Sci. Soc. 45, 83–99 (2022). https://doi.org/10.1007/s40840-021-01185-w

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  • DOI: https://doi.org/10.1007/s40840-021-01185-w

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