The existence of almost periodic solution: via coincidence degree theory
نویسندگان
چکیده
منابع مشابه
The existence of almost periodic solution: via coincidence degree theory
In the present paper, a new method is developed to study the existence of an almost periodic solution for the ordinary or functional differential equations. The approaches are based on topological degree and novel estimation techniques for the a priori bounds of unknown solutions for Lx = λNx. To investigate the existence of an almost periodic solution, a few good methods have been presented in...
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*Correspondence: [email protected] 1School of Mathematical Science, University of Science and Technology of China, Hefei, 230036, China 2School of Mathematics and Statistics, Hefei Normal University, Hefei, 230601, China Full list of author information is available at the end of the article Abstract This paper is concerned with a class of neutral Nicholson blowflies models with leakage delays...
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بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی بیان شده اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...
15 صفحه اولUnique Existence Theorem of Solution of Almost Periodic Differential Equations on Time Scales
It is well known that in Celestial mechanics, almost periodic solutions and stable solutions to differential equations or difference equations are intimately related. In the same way, stable electronic circuits, ecological systems, neural networks, and so on exhibit almost periodic behavior. A vast amount of researches have been directed toward studying these phenomena, we refer the readers to ...
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In this paper, we first give a new definition of almost periodic time scales, two new definitions of almost periodic functions on time scales and investigate some basic properties of them. Then, as an application, by using a fixed point theorem in Banach space and the time scale calculus theory, we obtain some sufficient conditions for the existence and exponential stability of positive almost ...
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ژورنال
عنوان ژورنال: Boundary Value Problems
سال: 2016
ISSN: 1687-2770
DOI: 10.1186/s13661-016-0576-9