Periodic solutions of pendulum-like perturbations of singular and bounded \({\varphi}\)-Laplacians
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Publication:607506
DOI10.1007/s10884-010-9172-3zbMath1208.34050OpenAlexW2022038485MaRDI QIDQ607506
Petru Jebelean, Cristian Bereanu, Jean Mawhin
Publication date: 22 November 2010
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-010-9172-3
upper and lower solutionsperiodic problemLeray-Schauder degreecurvature operatorspendulum-like non linearities
Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Applications of operator theory to differential and integral equations (47N20)
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Cites Work
- Unnamed Item
- Periodic oscillations of the relativistic pendulum with friction
- Multiple solutions of the periodic boundary value problem for some forced pendulum-type equations
- Multiple periodic solutions of ordinary differential equations with bounded nonlinearities and \(\varphi\)-Laplacian
- Boundary value problems for some nonlinear systems with singular \(\phi\)-Laplacian
- Solvability for some boundary value problems with \(\phi\)-Laplacian operators
- Nonhomogeneous boundary value problems for some nonlinear equations with singular \(\phi\)-Laplacian
- The stability of the equilibrium of a nonlinear planar system and application to the relativistic oscillator
- Boundary-value problems for strongly nonlinear multivalued equations involving different \(\Phi\)-Laplacians
- Periodic solutions of pendulum-type equations
- On periodic solutions of forced pendulum-like equations
- Existence and multiplicity results for some nonlinear problems with singular \(\phi\)-Laplacian
- Periodic solutions of nonlinear perturbations of \(\phi\)-Laplacians with possibly bounded \(\phi\)
- Periodic solutions for nonlinear systems with mean curvature-like operators
- NONDEGENERACY OF THE PERIODICALLY FORCED LIÉNARD DIFFERENTIAL EQUATION WITH ϕ-LAPLACIAN
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