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Internat. J. Math. & Math. Sci.
Vol.
**JOHNNY** **HENDERSON** 0
0 Department of Mathematics Auburn Unlverslty Auburn , Alabama 36849 , USA
BSTKACT: DisconJugacy of the kth component of the ruth order

? with y = H2, then we have
(2.27)
(2.28)
Thus, T y ? y . So, if we define
An application of Theorem 1.9 yields the conclusion of our theorem.
**Johnny** **Henderson**: Department of Mathematics, Auburn

(x) ≤ f (H2) for
0 < x ≤ H2. If y ∈ with y = H2, then we have
(2.27)
(2.28)
Thus, T y ≤ y . So, if we define
An application of Theorem 1.9 yields the conclusion of our theorem.
**Johnny** **Henderson**

University, 700050 Iasi, Romania
Received 12 January 2016; Revised 13 April 2016; Accepted 14 June 2016
Academic Editor: Josef Diblík
Copyright © 2016 **Johnny** **Henderson** et al. This is an open access article

We study the existence of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations with sign-changing nonlinearities, subject to coupled integral boundary conditions. MSC: 34A08, 45G15.

Mathematics, Gheorghe Asachi Technical University, 700506 Iasi, Romania
Received 17 March 2015; Accepted 30 August 2015
Academic Editor: Miguel Ángel López
Copyright © 2015 **Johnny** **Henderson** and Rodica Luca

We investigate the nonexistence of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations with coupled integral boundary conditions. MSC: 34A08, 45G15.

Our concern is the existence of positive solutions of the discrete Neumann boundary value problem { − Δ 2 u ( t − 1 ) = f ( t , u ( t ) ) , t ∈ [ 1 , T ] Z , Δ u ( 0 ) = Δ u ( T ) = 0 , where f : [ 1 , T ] Z × R + → R is a sign-changing function. By using the Guo-Krasnosel’skiĭ fixed point theorem, the existence and multiplicity of positive solutions are established. The...

We study the existence and multiplicity of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations, subject to integral boundary conditions. The nonsingular and singular cases for the nonlinearities are investigated.MSC: 34A08, 45G15.

In this paper we are interested in multiplicity results for a nonlinear Dirichlet boundary value problem subject to perturbations of impulsive terms. The study of the problem is based on the variational methods and critical point theory. Infinitely many solutions follow from a recent variational result.MSC: 34B37, 34B15.

O'Regan: Department of Mathematics, National University of Ireland , Galway , Ireland
1 **Johnny** **Henderson**: Department of Mathematics, Baylor University , Waco, TX 76798 , USA
2 Richard Avery: College of Arts

address: ding
1 **Johnny** **Henderson**: Department of Mathematics, Baylor University , Waco, TX 76798-7328, USA E-mail address: johnny
Uniqueness implies uniqueness relationships are examined among solutions of

OSCILLATION AND NONOSCILLATION FOR IMPULSIVE DYNAMIC EQUATIONS ON CERTAIN TIME SCALES
MOUFFAK BENCHOHRA
SAMIRA HAMANI
**JOHNNY** **HENDERSON**
We discuss the existence of oscillatory and nonoscillatory

**JOHNNY** **HENDERSON**
0
ALLAN PETERSON
0
0
Christopher C. Tisdell: School of Mathematics, The University of New South Wales
,
Sydney, NSW 2052
,
Australia
E-mail address:
This work formulates existence