Existence and multiplicity of periodic solutions to differential equations with attractive singularities
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Publication:5070601
DOI10.1017/prm.2021.14OpenAlexW3153442870WikidataQ115337081 ScholiaQ115337081MaRDI QIDQ5070601
José Godoy, Robert Hakl, Xingchen Yu
Publication date: 13 April 2022
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/prm.2021.14
Periodic solutions to ordinary differential equations (34C25) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Parameter dependent boundary value problems for ordinary differential equations (34B08) Nonautonomous smooth dynamical systems (37C60)
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Cites Work
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- Existence and uniqueness of a periodic solution to an indefinite attractive singular equation
- On a singular periodic Ambrosetti-Prodi problem
- Periodic solutions of singular second order differential equations: upper and lower functions
- A general model for the dynamics of cell volume, global stability, and optimal control
- On periodic solutions of second-order differential equations with attractive-repulsive singularities
- Nonlinear systems of differential inequalities and solvability of certain boundary value problems
- Stabilization of solitons of the multidimensional nonlinear Schrödinger equation: matter-wave breathers
- Dynamics of a periodic differential equation with a singular nonlinearity of attractive type
- 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 positive periodic solutions for Liénard equations with an indefinite singularity of attractive type
- Mathematical models with singularities. A zoo of singular creatures
- Existence and multiplicity of periodic solutions to indefinite singular equations having a non-monotone term with two singularities
- Periodic oscillations of a model for membrane permeability with fluctuating environmental conditions
- Existence and multiplicity of periodic solutions to an indefinite singular equation with two singularities. The degenerate case
- A general model for the dynamics of the cell volume
- Periodic solutions to the Liénard type equations with phase attractive singularities
- Existence and multiplicity results for some nonlinear problems with singular \(\phi\)-Laplacian
- Two-point boundary value problems. Lower and upper solutions
- The periodic Ambrosetti-Prodi problem for nonlinear perturbations of the \(p\)-Laplacian
- On Periodic Solutions of Nonlinear Differential Equations with Singularities
- On the open problems connected to the results of Lazer and Solimini
- Existence of nonnegative and nonpositive solutions for second order periodic boundary value problems
- Twist periodic solutions for differential equations with a combined attractive-repulsive singularity