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Properties of Third-Order Nonlinear Functional Differential Equations with Mixed Arguments

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  • B. Baculíková

Abstract

The aim of this paper is to offer sufficient conditions for property (B) and/or the oscillation of the third-order nonlinear functional differential equation with mixed arguments [ ð ‘Ž ( ð ‘¡ ) [ ð ‘¥ ″ ( ð ‘¡ ) ] ð ›¾ ] ′ = ð ‘ž ( ð ‘¡ ) ð ‘“ ( ð ‘¥ [ ð œ ( ð ‘¡ ) ] ) + ð ‘ ( ð ‘¡ ) â„Ž ( ð ‘¥ [ 𠜎 ( ð ‘¡ ) ] ) . Both cases ∫ ∞ ð ‘Ž − 1 / ð ›¾ ( ð ‘ ) d ð ‘ = ∞ and ∫ ∞ ð ‘Ž − 1 / ð ›¾ ( ð ‘ ) d ð ‘ < ∞ are considered. We deduce properties of the studied equations via new comparison theorems. The results obtained essentially improve and complement earlier ones.

Suggested Citation

  • B. Baculíková, 2011. "Properties of Third-Order Nonlinear Functional Differential Equations with Mixed Arguments," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-15, March.
    • Handle: RePEc:hin:jnlaaa:857860
    DOI: 10.1155/2011/857860
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    Cited by:

    1. Abdulaziz Khalid Alsharidi & Ali Muhib & Sayed K. Elagan, 2023. "Neutral Differential Equations of Higher-Order in Canonical Form: Oscillation Criteria," Mathematics, MDPI, vol. 11(15), pages 1-13, July.

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