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Homoclinic solutions for a class of noneven second order Hamiltonian systems - MaRDI portal

Homoclinic solutions for a class of noneven second order Hamiltonian systems (Q2848751)

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scientific article; zbMATH DE number 6212198
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Homoclinic solutions for a class of noneven second order Hamiltonian systems
scientific article; zbMATH DE number 6212198

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    26 September 2013
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    homoclinic solution
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    variational method
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    order Hamiltonian system
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    Homoclinic solutions for a class of noneven second order Hamiltonian systems (English)
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    Consider a second order Hamiltonian system of the form NEWLINE\[NEWLINE q''+\nabla V(t,q)=f(t). NEWLINE\]NEWLINE The authors give sufficient conditions under which there exists a solution \(q(t)\) with \(q(t)\to 0\) as \(|t|\to\infty\) not assuming that \(V\) is even in \(t\).
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