Periodic solutions of nonlinear differential equations with double resonance |
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| Authors: | C Fabry A Fonda |
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| Institution: | (1) Present address: Institut de Mathématique, Université Catholique de Louvain, Chemin du Cyclotron 2, B-1348 Louvain-la-Neuve, Belgique |
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| Abstract: | Summary
We prove the existence of periodic solutions of a second order nonlinear ordinary differential equation whose nonlinearity is at resonance with two successive eigenvalues of the associated linear operator and satisfies some Landesman-Laser type conditions at both of them. |
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