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On Nonoscillation of Advanced Differential Equations with Several Terms

Author

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  • L. Berezansky
  • E. Braverman

Abstract

Existence of positive solutions for advanced equations with several terms ∑ ̇ 𠑥 ( 𠑡 ) + 𠑚 𠑘 = 1 𠑎 𠑘 ( 𠑡 ) 𠑥 ( ℎ 𠑘 ( 𠑡 ) ) = 0 , ℎ 𠑘 ( 𠑡 ) ≥ 𠑡 is investigated in the following three cases: (a) all coefficients 𠑎 𠑘 are positive; (b) all coefficients 𠑎 𠑘 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, Hindawi, vol. 2011, pages 1-14, March.
    • Handle: RePEc:hin:jnlaaa:637142
    DOI: 10.1155/2011/637142
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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.
    2. Osama Moaaz & Ioannis Dassios & Omar Bazighifan, 2020. "Oscillation Criteria of Higher-order Neutral Differential Equations with Several Deviating Arguments," Mathematics, MDPI, vol. 8(3), pages 1-12, March.
    3. Braverman, Elena & Johnson, William T., 2019. "On oscillation of difference equations with continuous time and variable delays," Applied Mathematics and Computation, Elsevier, vol. 355(C), pages 449-457.

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