Infinitely many homoclinic solutions for a class of indefinite perturbed second-order Hamiltonian systems (Q350253)
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scientific article; zbMATH DE number 6661858
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Infinitely many homoclinic solutions for a class of indefinite perturbed second-order Hamiltonian systems |
scientific article; zbMATH DE number 6661858 |
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Infinitely many homoclinic solutions for a class of indefinite perturbed second-order Hamiltonian systems (English)
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7 December 2016
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The existence of homoclinic orbits is studied for the class of differential equations \[ -\ddot{u}(t)+L(t)u(t)=W_u(t,u(t))+G_u(t,u(t)). \] The existence of infinitely many homoclinic solutions is proven by using the theory of Bolle's perturbation method in critical point. The paper reports some generalizations of known results.
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Bolle's perturbation method
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broken symmetry
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perturbed Hamiltonian system
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homoclinic solutions
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