Asymptotic Dichotomy in a Class of Fourth-Order Nonlinear Delay Differential Equations with Damping | Zendy

Chengmin Hou | Zendy; Sui Sun Cheng | Zendy

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Asymptotic Dichotomy in a Class of Fourth-Order Nonlinear Delay Differential Equations with Damping

Author(s) -

Chengmin Hou,

Sui Sun Cheng

Publication year - 2009

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2009/484158

Subject(s) - mathematics , nonlinear system , delay differential equation , differential equation , mathematical analysis , order (exchange) , riccati equation , class (philosophy) , zero (linguistics) , physics , finance , linguistics , philosophy , quantum mechanics , artificial intelligence , computer science , economics

All solutions of a fourth-order nonlinear delay differential equation are shown to converge to zero or to oscillate. Novel Riccati type techniques involving third-order linear differential equations are employed. Implications in the deflection of elastic horizontal beams are also indicated

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