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島根大学理学部紀要 22 巻
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)))
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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.
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