Periodic Solutions of a System of Delay Differential Equations for a Small Delay
نویسندگان
چکیده
منابع مشابه
Periodicity in a System of Differential Equations with Finite Delay
The existence and uniqueness of a periodic solution of the system of differential equations d dt x(t) = A(t)x(t − ) are proved. In particular the Krasnoselskii’s fixed point theorem and the contraction mapping principle are used in the analysis. In addition, the notion of fundamental matrix solution coupled with Floquet theory is also employed.
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In this paper the periodic solutions of fourth order delay differential equation of the form $ddddot{x}(t)+adddot{x}(t)+f(ddot{x}(t-tau(t)))+g(dot{x}(t-tau(t)))+h({x}(t-tau(t)))=p(t)$ is investigated. Some new positive periodic criteria are given.
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A global existence theorem is given for the periodic solutions of a class of scalar delay-differential equations satisfying a restorative condition. Properties concerning the period and the amplitude of the slowly oscillating periodic solutions are established. The results are applied to a physiological reflex model exhibiting asymmetry of response. It is shown that the model predicts periodic ...
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ژورنال
عنوان ژورنال: Sultan Qaboos University Journal for Science [SQUJS]
سال: 2002
ISSN: 2414-536X,1027-524X
DOI: 10.24200/squjs.vol7iss2pp295-302