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- M. BENCHOHRA, S. NTOUYAS, M. Benchohra, Ravi P. Agarwal, Donal O’Regan
- 2006

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)

- Mouffak Benchohra, Johnny Henderson, Sotiris K. Ntouyas
- Appl. Math. Lett.
- 2002

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)

- Mouffak Benchohra, Samira Hamani, Sotiris K. Ntouyas, M. Benchohra, S. Hamani, S. K. Ntouyas +2 others
- 2008

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)

- Jessada Tariboon, Sotiris K. Ntouyas, Arisa Singubol
- J. Applied Mathematics
- 2014

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.

This paper studies a boundary value problem of nonlinear second-order q-difference equations with non-separated boundary conditions. As a first step, the given boundary value problem is converted to an equivalent integral operator equation by using the q-difference calculus. Then the existence and uniqueness of solutions of the problem is proved via the… (More)

- Jessada Tariboon, Sotiris K. Ntouyas, Weerawat Sudsutad
- Int. J. Math. Mathematical Sciences
- 2014

This paper deals with the resolvent, asymptotic stability and boundedness of the solution of time-varying Volterra integro-dynamic system on time scales in which the coefficient matrix is not necessarily stable. We generalize to a time scale some known properties about asymptotic behavior and boundedness from the continuous case. Some new results for the… (More)

Values of λ are determined for which there exist positive solutions of the system of three-point boundary value problems, u ′′ + λa(t)f (v) = 0, v ′′ + λb(t)g(u) = 0, for 0 < t < 1, and satisfying, u(0) = βu(η), u(1) = αu(η), v(0) = βv(η), v(1) = αv(η). A Guo-Krasnosel'skii fixed point theorem is applied.

Intervals of the parameter λ are determined for which there exist positive solutions for the system of nonlinear differential equations, u (n) + λa(t)f (v) = 0, v (n) + λb(t)g(u) = 0, for 0 < t < 1, and satisfying three-point nonlocal bound-(0) = 0, v(1) = αv(η). A Guo-Krasnosel'skii fixed point theorem is applied.