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Asymptotic Behavior of Higher‐Order Quasilinear Neutral Differential Equations

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  • Tongxing Li
  • Yuriy V. Rogovchenko

Abstract

We study asymptotic behavior of solutions to a class of higher‐order quasilinear neutral differential equations under the assumptions that allow applications to even‐ and odd‐order differential equations with delayed and advanced arguments, as well as to functional differential equations with more complex arguments that may, for instance, alternate indefinitely between delayed and advanced types. New theorems extend a number of results reported in the literature. Illustrative examples are presented.

Suggested Citation

  • Tongxing Li & Yuriy V. Rogovchenko, 2014. "Asymptotic Behavior of Higher‐Order Quasilinear Neutral Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:395368
    DOI: 10.1155/2014/395368
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    References listed on IDEAS

    as
    1. Ravi P. Agarwal & Said R. Grace & Donal O’Regan, 2000. "Oscillation Theory for Difference and Functional Differential Equations," Springer Books, Springer, number 978-94-015-9401-1, March.
    2. Ravi P. Agarwal & Leonid Berezansky & Elena Braverman & Alexander Domoshnitsky, 2012. "Nonoscillation Theory of Functional Differential Equations with Applications," Springer Books, Springer, edition 127, number 978-1-4614-3455-9, March.
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