A necessary and sufficient condition for oscillation of the generalized Liénard equation
From MaRDI portal
Publication:923188
DOI10.1007/BF01790349zbMath0711.34044MaRDI QIDQ923188
Tadayuki Hara, Toshiaki Yoneyama, Jitsuro Sugie
Publication date: 1989
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Related Items (22)
The global stability of a class of second order differential equations ⋮ Bounded positive solutions of semilinear elliptic equations ⋮ Qualitative behavior of solutions of Liénard-type systems with state-dependent impulses ⋮ Unnamed Item ⋮ When do all trajectories in the Liénard plane cross the vertical isocline? ⋮ New conditions for the intersection of orbits with the vertical isocline of the Liénard system ⋮ Some criteria of the existence of limit cycles for a planar system of liénard type ⋮ Oscillation theorems for the generalized Liénard system ⋮ The qualitative behavior of a second-order system with zero diagonal coefficient. ⋮ Sufficient conditions for the intersection of orbits with the vertical isocline of the Liénard system ⋮ Existence of bounded positive solutions of semilinear elliptic equations ⋮ Oscillations for Liénard type equations ⋮ Intersection with the vertical isocline in the Liénard plane ⋮ Explicit conditions for asymptotic stability of stochastic Liénard-type equations with Markovian switching ⋮ Existence for bounded positive solutions of quasilinear elliptic equations in two-dimensional exterior domains ⋮ Remarks on a class of generalized Liénard planar systems ⋮ On some properties of Liénard systems ⋮ Some sufficient conditions for the intersection with the vertical isocline in the Liénard plane ⋮ The global centre for the Liénard system ⋮ Intersection with the vertical isocline in the generalized Liénard equations ⋮ The continuation of solutions for certain nonlinear differential equations and its applications ⋮ On global asymptotic stability of systems of Liénard type
Cites Work
- Unnamed Item
- Unnamed Item
- Boundedness and periodicity of solutions of the generalized Liénard equation
- Continuation results for differential equations by two Liapunov functions
- Continuation results for differential equations without uniqueness by two Liapunov functions
- On the qualitative behaviour of solutions of Liénard equation
- On the generalized Lienard equation with forcing function
- On the generalized Lienard equation with negative damping
- Sur un théorème de A. Filippoff
- Necessary and Sufficient Conditions for the Continuability of Solutions of the System
- A Continuation Result for Differential Equations
- Liapunov functions and boundedness and global existence of solutions
This page was built for publication: A necessary and sufficient condition for oscillation of the generalized Liénard equation
