Periodic solutions of nonlinear differential equations with double resonance

DOI10.1007/BF01765314zbMath0729.34025MaRDI QIDQ805844

Alessandro Fonda, Christian Fabry

Publication date: 1990

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

periodic solutionsresonance problemLandesman-Lazer type conditionsresonance with two successive eigenvaluessecond order nonlinear ordinary differential equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25)

Related Items (20)

Periodic impact motions at resonance of a particle bouncing on spheres and cylinders ⋮ Resonance at two consecutive eigenvalues for semilinear elliptic equations ⋮ On some noncoercive variational inequalities containing degenerate elliptic operators ⋮ A systematic approach to nonresonance conditions for periodically forced planar Hamiltonian systems ⋮ Nonlinear equations at resonance and generalized eigenvalue problems ⋮ Multiple solutions for resonant nonlinear periodic equations ⋮ Multiple periodic solutions for asymptotically linear ordinary differential equations with double resonance ⋮ Nonlinear resonant periodic problems with concave terms ⋮ Double resonance with Landesman-Lazer conditions for planar systems of ordinary differential equations ⋮ Double resonance in Sturm-Liouville planar boundary value problems ⋮ A semilinear elliptic equation with double resonance ⋮ Nonautonomous nonlinear ODEs: nonresonance conditions and rotation numbers ⋮ Nonlinear Resonance: a Comparison Between Landesman-Lazer and Ahmad-Lazer-Paul Conditions ⋮ Multiple periodic solutions for difference equations with double resonance at infinity ⋮ Multiple periodic solutions of ordinary differential equations with double resonance ⋮ Nonresonance Conditions on the Potential for a Second-Order Periodic Boundary Value Problem ⋮ Landesman-Lazer type conditions for scalar one-sided superlinear nonlinearities with Neumann boundary conditions ⋮ Existence and multiplicity results for classes of elliptic resonant problems. ⋮ Some existence theorems for semilinear Neumann problems with Landesman-Lazer condition revisited ⋮ Some existence results for noncoercive nonconvex minimization problems with fast or slow perturbing terms^*

Cites Work

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• Nonuniform nonresonance conditions at the two first eigenvalues for periodic solutions of forced Liénard and Duffing equations
• Periodic solutions of some forced Liénard differential equations at resonance
• Existence of periodic solutions of Duffing equations
• A note on nonlinear oscillations at resonance
• Nonlinear boundary value problems at resonance
• Nonlinear Second Order Elliptic Partial Differential Equations at Resonance
• Sur les solutions périodiques des équations différentielles ordinaires
• Application of a Lemma on Bilinear Forms to a Problem in Nonlinear Oscillations

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