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On Nonoscillation of Advanced Differential Equations with Several Terms

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  • L. Berezansky
  • E. Braverman

Abstract

Existence of positive solutions for advanced equations with several terms x˙(t)+∑k=1mak(t)x(hk(t))=0, hk(t)≥t is investigated in the following three cases: (a) all coefficients ak are positive; (b) all coefficients ak are negative; (c) there is an equal number of positive and negative coefficients. Results on asymptotics of nonoscillatory solutions are also presented.

Suggested Citation

  • L. Berezansky & E. Braverman, 2011. "On Nonoscillation of Advanced Differential Equations with Several Terms," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    • Handle: RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:637142
    DOI: 10.1155/2011/637142
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    References listed on IDEAS

    as
    1. Xianyi Li & Deming Zhu & Hanqing Wang, 2003. "Oscillation for advanced differential equations with oscillating coefficients," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-10, January.
    2. Qiong Meng & Jurang Yan, 2001. "Nonautonomous differential equations of alternately retarded and advanced type," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 26, pages 1-7, January.
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    Cited by:

    1. Hirbod Assa & Liyuan Lin & Ruodu Wang, 2022. "Calibrating distribution models from PELVE," Papers 2204.08882, arXiv.org, revised Jun 2023.

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