Existence of Periodic Solutions to Nonlinear Differential Equations of Third Order with Multiple Deviating Arguments
نویسنده
چکیده
It is known that functional differential equations, in particular, that delay differential equations can be used as models to describe many physical, biological systems, and so forth. In reality, many actual systems have the property aftereffect, that is, the future states depend not only on the present, but also on the past history, and after effect is also known to occur in mechanics, control theory, physics, chemistry, biology, medicine, economics, atomic energy, information theory, and so forth Burton 1 , Kolmanovskii and Myshkis 2 . Therefore, it is important to investigate the qualitative behaviors of functional differential equations. In 1978, using the known theorem of Yoshizawa 3, Theorem 37.2 , Chukwu 4 found certain sufficient conditions that guarantee the existence of a periodic solution to nonlinearlinear differential of the third order with the constant deviating argument h >0 :
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Existence and Uniqueness of Anti-Periodic Solutions for Nonlinear Higher-Order Differential Equations with Two Deviating Arguments
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