Existence, uniqueness and asymptotic stability of periodic solutions of periodic functional-differential systems
نویسندگان
چکیده
منابع مشابه
Existence and uniqueness of solutions for neutral periodic integro-differential equations with infinite delay
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In this paper, using the fixed point theory in cone metric spaces, we prove the existence of a unique solution to a first-order ordinary differential equation with periodic boundary conditions in Banach spaces admitting the existence of a lower solution.
متن کاملexistence and uniqueness of solutions for neutral periodic integro-differential equations with infinite delay
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Deterministic dynamical system models with delayed feedback and non-negativity constraints arise in a variety of applications in science and engineering. Under certain conditions oscillatory behavior has been observed and it is of interest to know when this behavior is periodic. Here we consider one-dimensional delay differential equations with non-negativity constraints as prototypes for such ...
متن کاملExistence and Uniqueness of Periodic Solutions of Mixed Monotone Functional Differential Equations
and Applied Analysis 3 Remark 1.5. Condition A3 in Theorem 1.4 can be replaced by A3’ φ t, x ψ t, x is monotone in x and left lower semicontinuous at any t ∈ 0, 1 . 2. Main Results A real T -periodic continuous function y : R → R is said to be a T -periodic solution of 1.1 if substitution of it into 1.1 yields an identity for all t ∈ R. It is well known see, e.g., 1, 2 that 1.1 has a T -periodi...
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ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 1997
ISSN: 0040-8735
DOI: 10.2748/tmj/1178225148