On a boundedness condition for solutions of a generalized Liénard equation

DOI10.1016/0022-0396(86)90038-0zbMath0612.34042OpenAlexW1992964077MaRDI QIDQ1088046

Junji Kato

Publication date: 1986

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(86)90038-0

zbMATH Keywords

unbounded solutionLiénard equationuniform boundedness theoremfirst order differential equation

Mathematics Subject Classification ID

Related Items (15)

Ultimate boundedness of solutions for a generalized Liénard equation with forcing term ⋮ Existence of periodic and bounded solutions of the generalized Liénard equation under forcing ⋮ On the necessary and sufficient conditions for the boundedness of the solutions of the nonlinear oscillating equation ⋮ Boundedness of solutions of nonlinear systems of differential equations ⋮ On Spatial Cohesiveness of Second-Order Self-Propelled Swarming Systems ⋮ On the stability and boundedness of solutions of a class of nonautonomous differential equations of second order with multiple deviating arguments ⋮ Stability to vector Liénard equation with constant deviating argument ⋮ Boundedness of solutions for some nonlinear differential systems ⋮ New qualitative results for solutions of functional differential equations of second order ⋮ On the instability of solutions to a Liénard type equation with multiple deviating arguments ⋮ Global existence and boundedness of solutions to a second-order nonlinear differential system ⋮ Boundedness of Solutions to a Certain System of Differential Equations with Multiple Delays ⋮ Unnamed Item ⋮ Boundedness of solutions for a class of nonlinear planar systems. ⋮ Blow-up phenomena of second-order nonlinear differential equations

Cites Work

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• Necessary and Sufficient Conditions for the Continuability of Solutions of the System
• On the Boundedness of Solutions of Classes of Multidimensional Nonlinear Autonomous Systems

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