Cyclic differential equations and period three solutions of differential-delay equations
نویسندگان
چکیده
منابع مشابه
Cyclic Differential Equations and Period Three Solutions of Differential-Delay Equations
where g: C?’ --) )? is a given function, Ni are integers and a is a real parameter. Such equations have been considered in several papers, for instance [ 2, 5, 6). It has become apparent that it is important to be able to show that (0.1) has no nontrivial periodic solutions of certain periods. For example, the global Hopf bifurcation theorem, as developed by Alexander and Yorke for ordinary dif...
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The existence of oscillatory solutions for a certain class of scalar first order delay-differential equations is proved. An application to a delay logistic equation arising in certain models for population variation of a single specie in a constant environment with limited resources for growth is considered. It is known (cf. [1, 2]) that all solutions of the delay logistic equations (1) N'(t) =...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1982
ISSN: 0022-0396
DOI: 10.1016/0022-0396(82)90101-2