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Existence and Controllability Results for Nonlinear Differential Inclusions with Nonlocal Conditions in Banach Spaces
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M. Benchohra
Published/Copyright:
June 7, 2010
Abstract
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.
Key words and phrases.: Nonlocal condition; convex multivalued map; mild solution; evolution inclusion; controllability; nonlocal condition; fixed point
Received: 2000-12-14
Revised: 2001-05-23
Published Online: 2010-06-07
Published in Print: 2002-June
© Heldermann Verlag
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Keywords for this article
Nonlocal condition;
convex multivalued map;
mild solution;
evolution inclusion;
controllability;
nonlocal condition;
fixed point
Articles in the same Issue
- The Infinite Dimensional Henstock Integral and Problems of Black-Scholes Expectation
- An Explicit Formula for Solutions of Some System of Linear Delay Difference Equations
- Existence and Controllability Results for Nonlinear Differential Inclusions with Nonlocal Conditions in Banach Spaces
- Results on Singular Distribution Products of Mikusiński Type
- A Quasistatic Contact Problem with Slip Dependent Coefficient of Friction for Elastic Materials
- Linear Fredholm Integral Equations and the Integral of Kurzweil
- On Trigonometric-Like Decompositions of Functions with Respect to the Cyclic Group of Order n
- The Existence and Uniqueness of Solution of One Coupled Plate Thermomechanics Problem
- On the Stationary Flow of the Power Law Fluid in 2D
