Memoirs of the Faculty of Science, Shimane University

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Memoirs of the Faculty of Science, Shimane University 22
1988-12-25 発行

方程式x^^・(t)=-f(x(t))(g(x(t))+h(x(t-1)))の周期解

Periodic solutions of the equation x^^・(t)=-f(x(t))(g(x(t))+h(x(t-1)))
Furumochi, Tetsuo
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Description
The existence of nontrivial periodic solutions of the scalar equation x^^・(t) = - f(x(t))(g(x(t)) + h(x(t - 1))) is mainly discussed by using a fixed point theorem for a closed convex set. As an application of the main results, we show that a conjecture by G. Seifert is right. Moreover we give a negative answer to a question by G. Seifert.