A general result to the existence of a periodic solution to an indefinite equation with a weak singularity
From MaRDI portal
Publication:1739091
DOI10.1007/s10884-018-9704-9zbMath1447.34044OpenAlexW2891566177WikidataQ115383444 ScholiaQ115383444MaRDI QIDQ1739091
Publication date: 25 April 2019
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-018-9704-9
periodic solutionsdegree theoryLeray-Schauder continuation theoremsingular differential equationsweak-indefinite singularity
Periodic solutions to ordinary differential equations (34C25) Degree theory for nonlinear operators (47H11) Applications of operator theory to differential and integral equations (47N20) Singular nonlinear boundary value problems for ordinary differential equations (34B16)
Related Items
Positive periodic solutions to a second-order singular differential equation with indefinite weights ⋮ Periodic and soliton structures in a generalized Klein-Gordon equation with horizontal singular lines ⋮ Singular and nonsingular third-order periodic boundary value problems with indefinite weight ⋮ Positive periodic solution to a generalized Lazer-Solimini equation with indefinite weights ⋮ Uniqueness of positive solutions for boundary value problems associated with indefinite \(\phi\)-Laplacian-type equations ⋮ On the planar $L_p$ Minkowski problem with sign-changing data
Cites Work
- Multiplicity of positive periodic solutions in the superlinear indefinite case via coincidence degree
- Periodic solutions of singular equations
- Periodic solutions to second-order indefinite singular equations
- Pairs of positive periodic solutions of second order nonlinear equations with indefinite weight
- Positive periodic solutions of second order nonlinear equations with indefinite weight: multiplicity results and complex dynamics
- On periodic solutions of second-order differential equations with attractive-repulsive singularities
- Leray-Schauder continuation theorems in the absence of a priori bounds
- Second-order ordinary differential equations with indefinite weight: the Neumann boundary value problem
- Multiple positive solutions for a superlinear problem: a topological approach
- Periodic Solutions of a Singular Equation With Indefinite Weight
- CONTINUATION THEOREMS FOR AMBROSETTI-PRODI TYPE PERIODIC PROBLEMS
- Periodic solutions for indefinite singular perturbations of the relativistic acceleration
- Positive solutions for super-sublinear indefinite problems: High multiplicity results via coincidence degree
- On Periodic Solutions of Nonlinear Differential Equations with Singularities
- Topologie et équations fonctionnelles
- Periodic solutions for a second-order differential equation with indefinite weak singularity