Liapunov functionals and periodicity in integral equations
نویسندگان
چکیده
منابع مشابه
Liapunov Functionals and Periodicity in a System of Nonlinear Integral Equations
In this paper, we construct a Liapunov functional for a system of nonlinear integral equations. From that Liapunov functional we are able to establish the existence of periodic solutions to the system by applying some well-known fixed point theorems for the sum of a nonlinear contraction mapping and compact operator.
متن کاملOn Liapunov-Krasovskii functionals under Carathéodory conditions
In this paper, a basic property that a Liapunov-Krasovskii functional must have when used for studying the stability of time delay systems under Carath¶eodory conditions is studied. This property concerns the equality, almost everywhere, of the upper right-hand Dini derivative of the Liapunov-Krasovskii functional evaluated at the solution, and of the Liapunov-Krasovskii derivative (computed by...
متن کاملIntegral equations, large and small forcing functions: Periodicity
The defining property of an integral equation with resolvent R(t, s) is the relation between a(t) and ∫ t 0 R(t, s)a(s)ds for functions a(t) in a given vector space. We study the behavior of a solution of an integral equation x(t) = a1(t) + a2(t) − ∫ t 0 C(t, s)x(s)ds when a1(t) is periodic, C(t+ T, s+ T ) = C(t, s), while a2(t) is typified by (t+ 1) β with 0 < β < 1. There is a resolvent, R(t,...
متن کاملexistence and approximate $l^{p}$ and continuous solution of nonlinear integral equations of the hammerstein and volterra types
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 اولLiapunov-type inequality for universal integral
Integral Hamzeh Agahi,1,† Adel Mohammadpour,1,∗ Radko Mesiar,2,3,‡ S. Mansour Vaezpour1,§ Department of Statistics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran 15914, Iran Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, SK-81368 Bratislava, Slovakia Institute of In...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 1994
ISSN: 0040-8735
DOI: 10.2748/tmj/1178225758