Asymptotic behavior of oscillatory solutions of a differential equation with deviating arguments

DOI10.1016/0022-247X(81)90131-1zbMath0472.34044OpenAlexW2075284865WikidataQ115364590 ScholiaQ115364590MaRDI QIDQ1157712

Bhagat Singh, Takasi Kusano

Publication date: 1981

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(81)90131-1

zbMATH Keywords

canonical forms of Lnnoncanonical forms of Ln

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Asymptotic expansions of solutions to ordinary differential equations (34E05) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (7)

Asymptotic behavior of solutions of higher-order nonlinear differential equations with deviating arguments ⋮ Unnamed Item ⋮ Existence of slow oscillations in functional equations ⋮ On nonoscillation of canonical or noncanonical disconjugate functional equations ⋮ On quick oscillations in functional equations with deviating arguments ⋮ Boundedness of solutions of a class of higher order ordinary differential equations ⋮ On existence of nonoscillatory solutions in forced nonlinear differential equations

Cites Work

• Unnamed Item
• On asymptotic limits of nonoscillations in functional equations with retarded arguments
• Necessary and sufficient conditions for eventually vanishing oscillatory solutions of functional equations with small delays
• A correction to forced oscillations in general ordinary differential equations with deviating arguments
• A generalization of a lemma of bellman and its application to uniqueness problems of differential equations
• Asymptotically Vanishing Oscillatory Trajectories in Second Order Retarded Equations
• Asymptotic Decay of Oscillatory Solutions of Second Order Differential Equations with Forcing Term
• Non-oscillatory phenomena and damped oscillations
• Canonical Forms and Principal Systems for General Disconjugate Equations

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