Sotiris K. Ntouyas

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Dedication We dedicate this book to our family members who complete us. In particular, M. Ben-chohra's dedication is to his wife, Kheira, and his children, Mohamed, Maroua, and Abdelillah; J. Henderson dedicates to his wife, Darlene, and his descendants, Kathy, Contents Preface xi 1. Preliminaries 1 1.1. Definitions and results for multivalued analysis 1(More)
In this paper, we first present an impulsive version of Filippov's Theorem for first-order neutral functional differential inclusions of the form, d dt [y(t) − g(t, yt)] ∈ F (t, yt), y(t + k) − y(t − k) = I k (y(t − k)), k = 1,. .. , m, y(t) = φ(t), t ∈ [−r, 0], where J = [0, b], F is a set-valued map and g is a single-valued function. The functions I k(More)
In this paper, we shall establish sufficient conditions for the existence of solutions for a first order boundary value problem for fractional differential equations. References [1] L. Byszewski, Theorems about existence and uniqueness of solutions of a semi-linear evolution nonlocal Cauchy problem, [2] L. Byszewski, Existence and uniqueness of mild and(More)
In this paper, we study the existence of solutions for a boundary value problem of differential inclusions of order q ∈ (1, 2] with non-separated boundary conditions involving convex and non-convex multivalued maps. Our results are based on the nonlinear alternative of Leray Schauder type and some suitable theorems of fixed point theory.