Periodic solutions of ordinary differential equations with bounded nonlinearities
Słowa kluczowe
Nonlinear differential equation, periodic solution, bounded nonlinearityAbstrakt
In this article we discuss the existence and non-existence of forced $T$-periodic solutions to ordinary differential equations of the form $u^{\prime \prime }+g(u)=e(t)$. The results concern equations with bounded nonlinear terms $g$ satisfying $g(s)> 0$ (or $g(s)< 0$) for all real numbers $s$, and $g(\pm \infty )=0$. Variational and topological methods are employed.Pobrania
Opublikowane
2002-06-01
Jak cytować
1.
WARD, James Robert. Periodic solutions of ordinary differential equations with bounded nonlinearities. Topological Methods in Nonlinear Analysis [online]. 1 czerwiec 2002, T. 19, nr 2, s. 275–282. [udostępniono 22.7.2024].
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