\(p\)-Laplacian and Liénard-type equation

DOI10.1216/rmjm/1181071928zbMath0898.34021OpenAlexW2077736556MaRDI QIDQ1382730

Stanisław Sȩdziwy, Raul F. Manasevich

Publication date: 15 October 1998

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL27-2/CONT27-2/CONT27-2.html

zbMATH Keywords

Liénard-type equationunique limit cycle

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Implicit ordinary differential equations, differential-algebraic equations (34A09) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (6)

Existence and uniqueness of limit cycles for generalized \(\phi\)-Laplacian Liénard equations ⋮ Hopf bifurcation for a \(\varphi \)-Laplacian Liénard system ⋮ Existence and nonexistence of limit cycles for Liénard-type equations with bounded nonlinearities and φ-Laplacian ⋮ Periodic solutions for a \(p\)-Laplacian-like NFDE system ⋮ Periodic solutions for Liénard type equation with time-variable coefficient ⋮ Periodic solutions for \(n\)-dimensional generalized Liénard type \(p\)-Laplacian functional differential system

Cites Work

• Unnamed Item
• A homotopic deformation along \(p\) of a Leray-Schauder degree result and existence for \((| u'| ^{p-2}u')'+f(t,u)=0\), \(u(0)=u(T)=0\), \(p>1\)
• Note on a nonlinear eigenvalue problem
• Existence theorems for second order boundary value problems

This page was built for publication: \(p\)-Laplacian and Liénard-type equation