Almost convergence of solutions of nonlinear Volterra equations in Banach space

Periodic solutions for nonlinear Volterra integrodifferential equations in Banach spaces

In this paper we examine periodic integrodifferential equations in Banach spaces. When the cone is regular, we prove two existence theorems for the extremal solutions in the order interval determined by an upper and a lower solution. Both theorems use only the order structure of the problem and no compactness condition is assumed. In the last section we ask the cone to be only normal but we imp...

Bounded Solutions of Almost Linear Volterra Equations

Fixed point theorem of Krasnosel’skii is used as the primary mathematical tool to study the boundedness of solutions of certain Volterra type equations. These equations are studied under a set of assumptions on the functions involved in the equations. The equations will be called almost linear when these assumptions hold. AMS Subject Classifications: 45D05, 45J05.

Exact solutions of nonlinear interval Volterra integral equations

existence 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 ...

Periodic Solutions for Nonlinear Evolution Equations in a Banach Space

We prove an existence result for 7"-periodic mild solutions to nonlinear evolution equations of the form u(t) + Au(t) BF(t, u(t)) , t€R+. y Here (X, \\-\\) is a real Banach space, A: D(A) C X —> 2 is an operator with A — a! m-accretive for some a > 0 and such that -A. generates a compact semigroup, while F: R+ x D(A) —► X is a Carathéodory mapping which is T-periodic with respect to its first a...