Memoirs of the Faculty of Science, Shimane University

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Memoirs of the Faculty of Science, Shimane University 24
1990-12-25 発行

区分的に定数である項をもった遅れ型微分方程式における安定性と振動

Stability and Oscillation in Delay Differential Equations with Piecewise Constant Arguments
Furumochi, Tetsuo
Hayashi, Akifumi
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Description
Asymptotic behaviors of solutions of delay differential equations with piecewise constant arguments are mainly discussed. In particular, we show stability of the zero solution by using Razumikhin-type method, and we generalize two oscillation theorems obtained by Aftabizadeh-Wiener-Xu in [1].