Controllability Results for Evolution Inclusions with Non-Local Conditions
نویسندگان
چکیده
In this paper we prove controllability results for mild solutions defined on a compact real interval for first order differential evolution inclusions in Banach spaces with non-local conditions. By using suitable fixed point theorems we study the case when the multi-valued map has convex as well as non-convex values.
منابع مشابه
Existence and Controllability Results for Nonlinear Differential Inclusions with Nonlocal Conditions in Banach Spaces
In this paper we investigate the existence and controllability of mild solutions to the first order semilinear evolution inclusions in Banach spaces with nonlocal conditions. We shall rely of a fixed point theorem for condensing maps due to Martelli.
متن کاملControllability for Impulsive Semilinear Functional Differential Inclusions with a Non-compact Evolution Operator
We study a controllability problem for a system governed by a semilinear functional differential inclusion in a Banach space in the presence of impulse effects and delay. Assuming a regularity of the multivalued non-linearity in terms of the Hausdorff measure of noncompactness we do not require the compactness of the evolution operator generated by the linear part of inclusion. We find existenc...
متن کاملControllability of Evolution Equations and Inclusions Driven by Vector Measures
In this paper, we consider the question of controllability of a class of linear and semilinear evolution equations on Hilbert space with measures as controls. We present necessary and sufficient conditions for weak and exact (strong) controllability of a linear system. Using this result we prove that exact controllability of the linear system implies exact controllability of a perturbed semilin...
متن کاملDynamic Systems and Applications 18 (2009) 637-654 APPROXIMATE CONTROLLABILITY OF IMPULSIVE DIFFERENTIAL INCLUSIONS WITH NONLOCAL CONDITIONS
ABSTRACT. In order to describe various real-world problems in physical and engineering sciences that are subject to abrupt changes at certain instants during the evolution process, impulsive differential equations has been used to describe the system model. In this article, the problem of approximate controllability for nonlinear impulsive neutral differential inclusions with nonlocal condition...
متن کاملExistence and Controllability Results for Semilinear Neutral Functional Differential Inclusions with Nonlocal Conditions
In this paper, we prove existence and controllability results for first and second order semilinear neutral functional differential inclusions with finite or infinite delay in Banach spaces, with nonlocal conditions. Our theory makes use of analytic semigroups and fractional powers of closed operators, integrated semigroups and cosine families.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2004