A singular periodic Ambrosetti–Prodi problem of Rayleigh equations without coercivity conditions

DOI10.1142/S0219199721500127zbMath1503.34090OpenAlexW3136545569MaRDI QIDQ5865471

Xingchen Yu, Shiping Lu

Publication date: 9 June 2022

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199721500127

zbMATH Keywords

periodic solutionsdegree theorysingular differential equationsmultiplicity results

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Applications of operator theory to differential and integral equations (47N20) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Parameter dependent boundary value problems for ordinary differential equations (34B08) Nonautonomous smooth dynamical systems (37C60)

Related Items (5)

Existence and multiplicity of positive periodic solutions to a class of Liénard equations with repulsive singularities ⋮ On the positive periodic solutions of a class of Liénard equations with repulsive singularities in degenerate case ⋮ Bifurcation and dynamics of periodic solutions to the Rayleigh-plesset equation: theory and numerical simulation ⋮ Homoclinic solutions for a class of relativistic Liénard equations ⋮ Multiple positive periodic solutions to Minkowski-curvature equations with a singularity of attractive type

Cites Work

• Unnamed Item
• Unnamed Item
• Existence and uniqueness of a periodic solution to an indefinite attractive singular equation
• On a singular periodic Ambrosetti-Prodi problem
• Periodic solutions to singular second-order differential equations: the repulsive case
• Nontrivial periodic solutions of second order singular damped dynamical systems
• Periodic solutions of singular second order differential equations: upper and lower functions
• Ambrosetti-Prodi periodic problem under local coercivity conditions
• Periodic solutions for \(p\)-Laplacian Rayleigh equations
• Ambrosetti - Prodi type multiplicity result for a wave equation with sublinear nonlinearity
• Boundary value problems for nonlinear second-order vector differential equations
• Coincidence degree, and nonlinear differential equations
• On the inversion of some differentiable mappings with singularities between Banach spaces
• Periodic solutions of some differential equations with nonlinear damping
• Some new results on the existence of periodic solutions to a kind of Rayleigh equation with a deviating argument
• A multiplicity result for periodic solutions of Liénard equations with an attractive singularity
• Periodic solutions for second order differential equations with indefinite singularities
• Existence and multiplicity of periodic solutions to indefinite singular equations having a non-monotone term with two singularities
• Periodic solutions for a singular Liénard equation with indefinite weight
• Existence and multiplicity of periodic solutions to an indefinite singular equation with two singularities. The degenerate case
• Existence and multiplicity results for some nonlinear problems with singular \(\phi\)-Laplacian
• On the existence of periodic solutions of Rayleigh equations
• The periodic Ambrosetti-Prodi problem for nonlinear perturbations of the \(p\)-Laplacian
• NONAUTONOMOUS SADDLE-NODE BIFURCATION IN A CANONICAL ELECTROSTATIC MEMS
• NONDEGENERACY OF THE PERIODICALLY FORCED LIÉNARD DIFFERENTIAL EQUATION WITH ϕ-LAPLACIAN
• A Multiplicity Result for Periodic Solutions of Forced Nonlinear Second order Ordinary Differential Equations
• Classical Mechanics
• CONTINUATION THEOREMS FOR AMBROSETTI-PRODI TYPE PERIODIC PROBLEMS
• An Ambrosetti–Prodi-type problem for the (p,q)-Laplacian operator
• Twist periodic solutions for differential equations with a combined attractive-repulsive singularity

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