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
Weakly precompact operators on Cb(X,E) with the strict topology
Let X be a completely regular Hausdorff space, E and F be Banach spaces. Let Cb(X,E) be the space of all E-valued bounded continuous functions on X, equipped with the strict topology β. We study weakly precompact operato...
Upper and Lower Solutions Method for Partial Discontinuous Fractional Differential Inclusions with not Instantaneous Impulses
In this paper, we use the upper and lower solutions method combined with a fixed point theorem for multivalued maps in Banach algebras due to Dhage for investigations of the existence of solutions of a class of discontin...
Solutions of the Hammerstein equations in BVφ(IAB,R)
In this paper we study existence and uniqueness of solutions for the Hammerstein equation u(x)= v(x) + λ ∫_{I_{a}^{b}}K(x,y)f(y,u(y))dy in the space of function of bounded total φ-variation in the sense of Hardy-Vitali-T...
On the uniform convergence of sine, cosine and double sine-cosine series
In this paper we define new classes of sequences GM(β,r) and DGM(α,β,γ,r). Using these classes we generalize and extend the P.Kórus results concerning the uniform convergence of sine, cosine and double sine-cosine series...
Existence and uniqueness of solutions for a fractional p-Laplacian problem in RN
In this article, we use the Browder-Minty theorem to establish the existence and uniqueness of a weak solution for a fractional p-Laplace equation in RN.