Global Attractivity in Nonlinear Delay Differential Equations
نویسندگان
چکیده
منابع مشابه
Global Attractivity in Nonlinear Delay Difference Equations
We obtain a set of sufficient conditions under which all positive solutions of the nonlinear delay difference equation x„+l = x„f(xn_k), n = 0,1,2,..., are attracted to the positive equilibrium of the equation. Our result applies, for example, to the delay logistic model JVI+i = aN¡/(\ +ßNt_k) and to the delay difference equation xn+i = x„er^~x"-k'1 .
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* Correspondence: [email protected] Department of Mathematics and Computer Sciences, Cankaya University, Eskisehir Yolu 29. km, YukariYurtcu Mah. No 80, 06810 Yenimahalle, Ankara, Turkey Full list of author information is available at the end of the article Abstract Our aim in this work is to study the existence and the attractivity of solutions for a system of delay partial integro-differ...
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Stability and Global Attractivity for a Class of Nonlinear Delay Difference Equations
where c ∈ [0,1) is a given constant, k is a positive integer, f : R→ R is continuous and f (0)= 0, f (u) = 0 for u = 0. Such a equation arises from some of the earliest mathematical models of the macroeconomic “trade cycle,” and have attracted a great deal of attention (see, e.g., [1, 4, 5, 6, 7, 8, 9, 10] and references cited therein). When k = 1, Sedaghat [9] obtained some sufficient conditio...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1996
ISSN: 0022-247X
DOI: 10.1006/jmaa.1996.0037