Attractive singularity problems for superlinear Liénard equation
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DOI: 10.1007/s11117-018-0615-0
Abstract: In this paper, we consider the following quasilinear Liénard equation with a singularity $$\begin{aligned} (\phi _p(x'(t)))'+f(x(t))x'(t)+g(t,x(t))=e(t), \end{aligned}$$(ϕp(x′(t)))′+f(x(t))x′(t)+g(t,x(t))=e(t),where g has a attractive singularity at the origin and satisfies superlinear condition at $$x=+\infty $$x=+∞. By using Manásevich–Mawhin… read more here.
Keywords: equation; periodic solution; nard equation; attractive singularity ... See more keywords
Existence of positive periodic solutions for Liénard equation with a singularity of repulsive type
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DOI: 10.1186/s13661-024-01894-8
Abstract: In this paper, the existence of positive periodic solutions is studied for Liénard equation with a singularity of repulsive type, x ″ ( t ) + f ( x ( t ) ) x ′… read more here.
Keywords: positive periodic; singularity repulsive; equation singularity; periodic solutions ... See more keywords
Stability of Liénard Equation
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DOI: 10.3103/s1066369x1810002x
Abstract: We consider a balance stability problem for the second order nonlinear differential equations of the Liénard type. Investigations are carried out by means of constant-sign Lyapunov functions for problems of stability, asymptotical stability (local and… read more here.
Keywords: constant sign; stability; nard equation; stability nard ... See more keywords