Controllability for some integrodifferential evolution equations in Banach spaces
Journal Title: Discussiones Mathematicae Differential Inclusions Control and Optimization - Year 2017, Vol 37, Issue 1
Abstract
In this work, we study the controllability for a class of nonlinear integrodifferential equations in Banach spaces. Using resolvent operator properties and Schaefer's fixed point Theorem, we give sufficient conditions for the controllability when the nonlinear term satisfies the Carathéodory conditions.
Authors and Affiliations
Mouhamadou Alpha Diallo, Khalil Ezzinbi, Abdoulaye Sene
Controllability for some Partial Functional Integrodifferential Equations with Nonlocal Conditions in Banach Spaces
This work concerns the study of the controllability of some partial functional integrodifferential equation with nonlocal initial conditions in Banach spaces. It gives sufficient conditions that ensure the controllabilit...
Boundedness of set-valued stochastic integrals
The paper deals with integrable boundedness of Itô set-valued stochastic integrals defined by E.J. Jung and J.H. Kim in the paper [4], where has not been proved that this integral is integrable bounded. The problem of in...
On Schur-Cohn Stability of a Product of Operators in a Hilbert Space
A linear operator is said to be a Schur-Cohn stable one if its spectral radius is less than one. We consider the following problem: let A and B be bounded linear operators in a Hilbert space, and A be Schur-Cohn stable....
On the mutually non isomorphic lp(lq) spaces, a survey
In this note we survey the partial results needed to show the following general theorem: {lp(lq) : 1≤ p,q≤+∞} is a family of mutually non isomorphic Banach spaces. We also comment some related facts and open problems.
On some properties of quotients of homogeneous C(K) spaces
We say that an infinite, zero dimensional, compact Hausdorff space K has property (*) if for every nonempty open subset U of K there exists an open and closed subset V of U which is homeomorphic to K. We show that if K i...