Necessary and Sufficient Conditions for the Continuability of Solutions of the System

DOI10.1080/00036818508839542zbMath0589.34006OpenAlexW2026759701WikidataQ58178535 ScholiaQ58178535MaRDI QIDQ3717416

Tadayuki Hara, Jitsuro Sugie, Toshiaki Yoneyama

Publication date: 1985

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818508839542

zbMATH Keywords

Liénard systemgrowth of solutions

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Differential inequalities involving functions of a single real variable (34A40) Dynamical systems and ergodic theory (37-XX)

Related Items (4)

On a boundedness condition for solutions of a generalized Liénard equation ⋮ On a continuation lemma for the study of a certain planar system with applications to Liénard and Rayleigh equations ⋮ A necessary and sufficient condition for oscillation of the generalized Liénard equation ⋮ Continuability of solutions of the generalized Liénard system with time delay

Cites Work

• On the generalized Lienard equation with forcing function
• Liapunov functions and boundedness and global existence of solutions

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