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Existence Results on Infinite Intervals for Neutral Functional Differential and Integrodifferential Inclusions in Banach Spaces
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M. Benchohra
Published/Copyright:
February 23, 2010
Abstract
In this paper we investigate the existence of mild solutions, on infinite intervals, to initial value problems for neutral functional differential and integrodifferential inclusions in Banach spaces. We shall rely on the fixed point theorem due to Ma, which is an extension on locally convex topological spaces, of Schaefer's theorem.
Key words and phrases:: Initial value problems; convex multivalued map; neutral functional differential and integrodifferential inclusion; existence; fixed point
Received: 2000-05-17
Revised: 2000-10-02
Published Online: 2010-02-23
Published in Print: 2000-December
© Heldermann Verlag
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Articles in the same Issue
- The Morse Formula for Curves Which are not Locally Simple
- Existence Results on Infinite Intervals for Neutral Functional Differential and Integrodifferential Inclusions in Banach Spaces
- A Note on the Theorem on Differential Inequalities
- Singular Integral Equations in Special Weighted Spaces
- On Multidimensional SDEs Without Drift and with A Time-Dependent Diffusion Matrix
- Uniform Convergence of N-Dimensional Trigonometric Fourier Series
- Second Order Boundary Value Problems with Nonlinear Two-Point Boundary Conditions
- On Generalized Sklyanin Algebras
- Thermoelastic Equilibrium of A Rectangular Parallelepiped with Nonhomogeneous Symmetry and Antisymmetry Conditions on its Faces
- On the Teichmüller-Kühnau Extension of Univalent Functions
- Embeddings and Entropy Numbers for General Weighted Sequence Spaces: The Non-Limiting Case
- Oscillation Properties of Even Order Neutral Differential Equations with Deviating Arguments
- On Bausov-Telyakovskii Type Results
- A Semimartingale Bellman Equation and the Variance-Optimal Martingale Measure
- The Construction of the Bases of Some Eight Level Cusp Form Spaces
Keywords for this article
Initial value problems;
convex multivalued map;
neutral functional differential and integrodifferential inclusion;
existence;
fixed point
Articles in the same Issue
- The Morse Formula for Curves Which are not Locally Simple
- Existence Results on Infinite Intervals for Neutral Functional Differential and Integrodifferential Inclusions in Banach Spaces
- A Note on the Theorem on Differential Inequalities
- Singular Integral Equations in Special Weighted Spaces
- On Multidimensional SDEs Without Drift and with A Time-Dependent Diffusion Matrix
- Uniform Convergence of N-Dimensional Trigonometric Fourier Series
- Second Order Boundary Value Problems with Nonlinear Two-Point Boundary Conditions
- On Generalized Sklyanin Algebras
- Thermoelastic Equilibrium of A Rectangular Parallelepiped with Nonhomogeneous Symmetry and Antisymmetry Conditions on its Faces
- On the Teichmüller-Kühnau Extension of Univalent Functions
- Embeddings and Entropy Numbers for General Weighted Sequence Spaces: The Non-Limiting Case
- Oscillation Properties of Even Order Neutral Differential Equations with Deviating Arguments
- On Bausov-Telyakovskii Type Results
- A Semimartingale Bellman Equation and the Variance-Optimal Martingale Measure
- The Construction of the Bases of Some Eight Level Cusp Form Spaces
