Boundedness and periodicity of solutions of the generalized Liénard equation

DOI10.1007/BF02411883zbMath0071.30401OpenAlexW2016629043MaRDI QIDQ767527

W. R. Utz

Publication date: 1956

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02411883

zbMATH Keywords

ordinary differential equations

Related Items (9)

On the qualitative behaviour of solutions of Liénard equation ⋮ On the oscillation of solutions of the Liénard equation ⋮ Boundedness criteria for solutions of certain second order nonlinear differential equations ⋮ A necessary and sufficient condition for oscillation of the generalized Liénard equation ⋮ New stability and boundedness results of Liénard type equations with multiple deviating arguments ⋮ On the instability of solutions to a Liénard type equation with multiple deviating arguments ⋮ Properties of solutions of certain nonlinear differential equations of the form \(x+g(x)x^{\prime 2}+f(x) = 0\) ⋮ On the generalized Lienard equation with negative damping ⋮ On Monotone and Positive Solutions of Second Order Nonlinear Differential Equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On non-linear differential equations of the second order. II. The equation \(\ddot y+kf(y)\dot y+g(y,k)=p(t)=p_1(t)+kp_2(t)\); \(k>0,f(y)\geq 1\)
• On the existence and boundedness of solutions of non-linear differential- difference equations
• A general equation for relaxation oscillations
• A Differential Equation
• Some Properties of Tubular Electron Beams
• Note on Levinson's Existence Theorem for Forced Periodic Solutions of a Second Order Differential Equation
• On Certain Non-Linear Differential Equations with almost Periodic Solutions
• Boundedness Theorems for Non-Linear Differential Equations of the Second Order (II)
• On the convergence of solutions of the non-linear differential equation
• On The Existence of Periodic Solutions For Second Order Differential Equations with a Forcing Term
• On a Non‐linear Differential Equation of the Second Order
• On Non-Linear Differential Equations of the Second Order with Integrable Forcing Term^†
• Two Theorems on Ordinary Non-Linear Differential Equations

This page was built for publication: Boundedness and periodicity of solutions of the generalized Liénard equation