Periodic solutions for Liénard equation with an indefinite singularity

DOI10.1016/j.nonrwa.2018.07.024zbMath1411.34058OpenAlexW2887594930MaRDI QIDQ1729181

Yuanzhi Guo, Li-Juan Chen, Shiping Lu

Publication date: 27 February 2019

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2018.07.024

zbMATH Keywords

periodic solutionsingularityLiénard equationcontinuation theorem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Applications of operator theory to differential and integral equations (47N20)

Related Items (21)

Existence of positive periodic solutions for super-linear neutral Liénard equation with a singularity of attractive type ⋮ Periodic wave solutions of a non-Newtonian filtration equation with an indefinite singularity ⋮ Multiplicity of positive periodic solutions of Rayleigh equations with singularities ⋮ Existence of positive periodic solutions for a neutral Liénard equation with a singularity of repulsive type ⋮ Positive periodic solution for indefinite singular Liénard equation with \(p\)-Laplacian ⋮ Existence and multiplicity of positive periodic solutions to a class of Liénard equations with repulsive singularities ⋮ Positive periodic solutions of singular third-order functional differential equations with \(p\)-Laplacian-like operators ⋮ Attractive singularity problems for superlinear Liénard equation ⋮ Bifurcation and dynamics of periodic solutions to the Rayleigh-plesset equation: theory and numerical simulation ⋮ Positive periodic solutions of coupled singular Rayleigh systems ⋮ Singularities of attractive and repulsive type for \(p\)-Laplacian generalized Liénard equation ⋮ Analytical traveling wave and soliton solutions of the \((2+1)\) dimensional generalized Burgers-Huxley equation ⋮ A multiplicity result for periodic solutions of Liénard equations with an attractive singularity ⋮ Periodic solutions for second order differential equations with indefinite singularities ⋮ Existence of homoclinic solutions for a class of second-order Hamiltonian systems with locally subquadratic potentials ⋮ Existence and uniqueness of homoclinic solution for a Rayleigh equation with a singularity ⋮ New result of existence of periodic solutions for a generalized p-Laplacian Liénard type differential equation with a variable delay ⋮ Nondegeneracy and uniqueness of periodic solution for a Liénard equation ⋮ Periodic solutions for a singular Liénard equation with indefinite weight ⋮ Periodic solutions of an indefinite singular planar differential system ⋮ A graph-theoretic method to study the existence of periodic solutions for a coupled Rayleigh system via inequality techniques

Cites Work

• Unnamed Item
• Unnamed Item
• Existence and uniqueness of a periodic solution to an indefinite attractive singular equation
• Periodic solutions to singular second-order differential equations: the repulsive case
• Periodic solutions to second-order indefinite singular equations
• Periodic solutions of singular second order differential equations: upper and lower functions
• Infinitely many \(T\)-periodic solutions for a problem arising in nonlinear elasticity
• Existence of periodic solutions for second-order differential equations with singularities and the strong force condition
• Weak singularities may help periodic solutions to exist
• On periodic solutions of second-order differential equations with attractive-repulsive singularities
• Periodic solution for nonlinear systems with \(p\)-Laplacian-like operators
• Periodic motion of atoms near a charged wire
• Periodic motion of a system of two or three charged particles
• Twist property of periodic motion of an atom near a charged wire
• Multiplicity of positive periodic solutions to superlinear repulsive singular equations
• Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem
• Periodic solutions of Liénard equations with singular forces of repulsive type
• Twist periodic solutions of repulsive singular equations
• Mathematical models with singularities. A zoo of singular creatures
• Periodic solutions for second-order differential equations with a singular nonlinearity
• Periodic solutions of Liénard equation with a singularity and a deviating argument
• Non-collision periodic solutions of prescribed energy problem for a class of singular Hamiltonian systems
• Periodic solutions of second order non-autonomous singular dynamical systems
• Multiplicity results of positive solutions for fourth-order nonlinear differential equation with singularity
• Subharmonic Solutions for Some Second-Order Differential Equations with Singularities
• Periodic Solutions of Singular Nonlinear Perturbations of the Ordinary p-Laplacian
• Nonlinear waves in Bose–Einstein condensates: physical relevance and mathematical techniques
• T-periodic solutions for some second order differential equations with singularities
• Bounded solutions in singular equations of repulsive type
• Twist periodic solutions for differential equations with a combined attractive-repulsive singularity

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