# Abstract inclusions in Banach spaces with boundary conditions of periodic type

@article{Guedda2014AbstractII,
title={Abstract inclusions in Banach spaces with boundary conditions of periodic type},
author={Lahcene Guedda and Ahmed Hallouz},
journal={Discussiones Mathematicae. Differential Inclusions, Control and Optimization},
year={2014},
volume={34},
pages={229-253}
}
• Published 2014
• Mathematics
• Discussiones Mathematicae. Differential Inclusions, Control and Optimization
INCLUSIONS IN BANACH SPACES WITH BOUNDARY CONDITIONS OF PERIODIC TYPE

## References

SHOWING 1-10 OF 50 REFERENCES
Initial Value Problems in Banach Spaces
The goal of this introductory chapter is not only to solve initial value problems in Banach spaces but also to prove some of the statements necessary for the further constructions.
Di erential Inclusions in a Banach Space
Preface. 1. Multi-Valued Differential Equation Generated by a Differential Inclusion. 2. Differential Inclusions. Existence of Solutions. 3. Properties of Solutions. 4. Integral Funnel of the
Nonlinear boundary value problems with maximal monotone terms
• Mathematics
• 2000
Summary. In this paper we consider a second order nonlinear differential equation with maximal monotone terms and nonlinear, possibly multivalued boundary conditions. Using the theory of maximal
Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces
• Mathematics
• 2011
Multivalued maps: general properties * Measures of noncompactness and condensing multimaps * Topological degree theory for condensing multifields * Semigroups and measures of noncompactness *
Multivalued analysis and operator inclusions
• Mathematics
• 1987
The basic ideas and methods of the theory of multivalued mappings and operator inclusions are presented. Some applications of this theory to game theory, the theory of dispersive dynamical systems,
Nonlinear evolution equations on Banach space
In this paper we consider the questions of existence and uniqueness of solutions of certain semilinear and quasilinear evolution equations on Banach space. We consider both deterministic and
On semilinear evolution equations in Banach spaces.
In this paper we shall present various conditions on A (t) and / sufficient for existence and/or uniqueness of mild or strict Solutions to problem (1); see Definition 3 and Definition 2 for the
Topological Fixed Point Theory of Multivalued Mappings
BACKGROUND IN TOPOLOGY.- MULTIVALUED MAPPINGS.- APPROXIMATION METHODS IN FIXED POINT THEORY OF MULTIVALUED MAPPINGS.- HOMOLOGICAL METHODS IN FIXED POINT THEORY OF MULTIVALUED MAPPINGS.- CONSEQUENCES
On some classes of operator inclusions with lower semicontinuous nonlinearities
• Mathematics
• 2001
We consider a class of multimaps which are the composition of a superposition multioperator ${\mathcal P}_F$ generated by a nonconvex-valued almost lower semicontinuous nonlinearity $F$ and an