A continuation approach to the periodic boundary value problem for a class of nonlinear coupled oscillators with potential depending on time (Q278847)
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scientific article; zbMATH DE number 6576560
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A continuation approach to the periodic boundary value problem for a class of nonlinear coupled oscillators with potential depending on time |
scientific article; zbMATH DE number 6576560 |
Statements
A continuation approach to the periodic boundary value problem for a class of nonlinear coupled oscillators with potential depending on time (English)
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3 May 2016
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nonlinear oscillators
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bounded-coupling
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semi-linear
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periodic solutions
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continuation method
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The aim of this paper is to provide new sufficient conditions for the existence of \(T\)-periodic solutions of the weakly coupled system of nonlinear oscillators given by NEWLINE\[NEWLINE u_i''+g_i(t,u_i)=p_i(t,u,u'),\qquad i=1,\ldots, d. NEWLINE\]NEWLINE To this purpose, a variant of the celebrated Mawhin's global continuation theorem for coincidence degree is proved and applied.
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