PERIODIC SOLUTIONS FOR SINGULAR PERTURBATIONS OF THE SINGULAR ϕ-LAPLACIAN OPERATOR

DOI10.1142/S0219199712500630zbMath1280.34047OpenAlexW2115660701MaRDI QIDQ2853994

Dana Gheorghe, Manuel Zamora, Cristian Bereanu

Publication date: 17 October 2013

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

Full work available at URL: https://doi.org/10.1142/s0219199712500630

zbMATH Keywords

singular nonlinearitiesLeray-Schauder degreelower solutionupper solution

Mathematics Subject Classification ID

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) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (7)

Construction of lower and upper solutions for first-order periodic problem ⋮ Existence and multiplicity of solutions of second-order discrete Neumann problem with singular \(\phi\)-Laplacian operator ⋮ Periodic solutions for indefinite singular equations with singularities in the spatial variable and non-monotone nonlinearity ⋮ Non-resonant boundary value problems with singular \(\phi\)-Laplacian operators ⋮ Interactions in the Lorentz force equation ⋮ Fisher-Kolmogorov type perturbations of the relativistic operator: differential vs. difference ⋮ Periodic solutions of second order nonlinear difference equations with singular \(\phi\)-Laplacian operator

Cites Work

• Positive periodic solution for Brillouin electron beam focusing system
• Periodic solutions of singular second order differential equations: upper and lower functions
• Multiple solutions for Neumann and periodic problems with singular \(\phi \)-Laplacian
• Weak singularities may help periodic solutions to exist
• Multiple periodic solutions of ordinary differential equations with bounded nonlinearities and \(\varphi\)-Laplacian
• Existence of a pair of periodic solutions of an O.D.E. Generalizing a problem in nonlinear elasticity, via variational methods
• Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem
• Existence and multiplicity results for some nonlinear problems with singular \(\phi\)-Laplacian
• NONDEGENERACY OF THE PERIODICALLY FORCED LIÉNARD DIFFERENTIAL EQUATION WITH ϕ-LAPLACIAN
• On a result of Brezis and Mawhin
• Periodic Solutions of Pendulum-Like Hamiltonian Systems in the Plane
• T-periodic solutions for some second order differential equations with singularities
• A relationship between the periodic and the Dirichlet BVPs of singular differential equations
• Relativistic (Non-Linear) Oscillator
• Existence of nonnegative and nonpositive solutions for second order periodic boundary value problems

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