On a Nonlinear Integrodifferential Evolution Inclusion with Nonlocal Initial Conditions in Banach Spaces

نویسنده

  • Zuomao Yan
چکیده

In this paper, we discuss the existence results for a class of nonlinear integrodifferential evolution inclusions with nonlocal initial conditions in Banach spaces. Our results are based on a fixed point theorem for condensing maps due to Martelli and the resolvent operators combined with approximation techniques.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Nonlinear functional integrodifferential evolution equations with nonlocal conditions in Banach spaces

In this paper, the Leray-Schauder Alternative is used to investigate the existence of mild solutions to first-order nonlinear functional integrodifferential evolution equations with nonlocal conditions in Banach spaces. AMS subject classifications: 34K30, 34A60, 34G20

متن کامل

Zuomao Yan EXISTENCE OF SOLUTIONS FOR SOME NONLINEAR DELAY INTEGRODIFFERENTIAL EQUATIONS WITH NONLOCAL INITIAL CONDITIONS

The main purpose of this paper is the existence of mild solutions for a class of first-order nonlinear delay integrodifferential equations with nonlocal initial conditions in Banach spaces. We show that the solutions are given by the application of the theory of resolvent operators and the Sadovskii’s fixed point theorem. An example is presented in the end to show the applications of the obtain...

متن کامل

Existence Results for Nonlinear Boundary Value Problems of Impulsive Fractional Integrodifferential Equations

In this paper, we investigate the existence result for nonlinear impulsive fractional integro-differential equations with boundary conditions by using fixed point theorem and Green's function. I. INTRODUCTION The topic of fractional differential equations has received a great deal of attention from many scientists and researchers during the past decades; see [1-7]. This is mostly due to the fac...

متن کامل

Existence of Mild Solutions to a Cauchy Problem Presented by Fractional Evolution Equation with an Integral Initial Condition

In this article, we apply two new fixed point theorems to investigate the existence of mild solutions for a nonlocal fractional Cauchy problem with an integral initial condition in Banach spaces.

متن کامل

Nonlocal Cauchy problem for delay integrodifferential equations of Sobolev type in Banach spaces

In this paper, we prove the existence of mild and strong solutions of nonlinear time varying delay integrodifferential equations of Sobolev type with nonlocal cqnditions in Banach spaces. The results are obtained by using the theory of compact semigroups and Schaefer’s fixed-point theorem. @ 2002 Elsevier Science Ltd. All rights reserved. Keywords-Existence theorem, Delay integrodifferential eq...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2012