Add to ORKGThe problem of uniqueness of limit cycles for the Lienard equation is investigated. Some sufficient conditions are presented which complement recent related results. The proofs are based on an energy level comparison method which guarantees that all the possible limit cycles intersect the lines x = \u3b1 and x = \u3b2, being a < 0 < \u3b2 the two nontrivial zeros of F(x). Some examples illustrate the range of applicability of the main results. \ua9Dynamic Publishers, Inc
Kooij and Sun (J Math Anal Appl 208:260-276, 1997) proposed a theorem to guarantee the uniqueness of...
Abstract5proposed a theorem to guarantee the uniqueness of limit cycles for the generalized Liénard ...
In this paper we study the limit cycles of the Lienard differential system of the form x + f(x)(x) o...
The aim of this paper is to present some classical and more recent results con-cerning the uniquenes...
AbstractWe shall give two criteria for the uniqueness of limit cycles of systems of Liénard type ẋ ...
AbstractWe consider the Liénard equation and we give a sufficient condition to ensure existence and ...
In this paper we prove a theorem on the uniqueness of limit cycles surrounding one or more singulari...
AbstractIn this paper, conditions that guarantee the uniqueness of limit cycles in the Liénard-type ...
The problem of the uniqueness of limit cycles for Liénard systems is investigated in connection with...
Abstract. We further generalize a recent improvement obtained by G. Villari of the classical Massera...
AbstractIn monographs [Theory of Limit Cycles, 1984] and [Qualitative Theory of Differential Equatio...
The problem of uniqueness of limit cycles for the Li\ue9nard equation \u1e8d+f(x)\u1e8b+g(x)=0 is in...
We give an account of the results about limit cycle’s uniqueness for Liénard equations, starting fro...
In this paper, we consider a generalized Lienard system dx/dt = phi(y) - F(x), dy/dt = -g(x), ...
A recent theory developed by Wang (2004) for the solution of the second part of Hilbert’s 16th probl...
Kooij and Sun (J Math Anal Appl 208:260-276, 1997) proposed a theorem to guarantee the uniqueness of...
Abstract5proposed a theorem to guarantee the uniqueness of limit cycles for the generalized Liénard ...
In this paper we study the limit cycles of the Lienard differential system of the form x + f(x)(x) o...
The aim of this paper is to present some classical and more recent results con-cerning the uniquenes...
AbstractWe shall give two criteria for the uniqueness of limit cycles of systems of Liénard type ẋ ...
AbstractWe consider the Liénard equation and we give a sufficient condition to ensure existence and ...
In this paper we prove a theorem on the uniqueness of limit cycles surrounding one or more singulari...
AbstractIn this paper, conditions that guarantee the uniqueness of limit cycles in the Liénard-type ...
The problem of the uniqueness of limit cycles for Liénard systems is investigated in connection with...
Abstract. We further generalize a recent improvement obtained by G. Villari of the classical Massera...
AbstractIn monographs [Theory of Limit Cycles, 1984] and [Qualitative Theory of Differential Equatio...
The problem of uniqueness of limit cycles for the Li\ue9nard equation \u1e8d+f(x)\u1e8b+g(x)=0 is in...
We give an account of the results about limit cycle’s uniqueness for Liénard equations, starting fro...
In this paper, we consider a generalized Lienard system dx/dt = phi(y) - F(x), dy/dt = -g(x), ...
A recent theory developed by Wang (2004) for the solution of the second part of Hilbert’s 16th probl...
Kooij and Sun (J Math Anal Appl 208:260-276, 1997) proposed a theorem to guarantee the uniqueness of...
Abstract5proposed a theorem to guarantee the uniqueness of limit cycles for the generalized Liénard ...
In this paper we study the limit cycles of the Lienard differential system of the form x + f(x)(x) o...