**Communications in
Applied Analysis**

**Volume 19, 201****5**

CONTENTS

Douglas R. Anderson, Heidi Berger, and Lynn Erbe

A Brief Academic Biography of Professor Allan C. Peterson

1Said Grace, Elvan Akin, and Ravi Agarwal

Oscillatory Theorems for Certain Second Order Damped Dynamic Inclusions with Distributed Deviating Arguments

3Douglas R. Anderson and Jenna Otto

Hyers–ulam Stability of Linear Differential Equations with Vanishing Coefficients

15Ferhan M. Atici and Paul W. Eloe

Linear Forward Fractional Difference Equations

31Richard Avery Johnny Henderson, and Xueyan Liu

Multiple Fixed Point Theorems with Omitted Ray Conditions

43Pushp R. Awasthi, Lynn H. Erbe, and Allan C. Peterson

Existence and Uniqueness Results for Positive Solutions of A Nonlinear Fractional Difference Equation

61Lynn Erbe and Taher S. Hassan

Comparison Theorems for Higher Order Forced Nonlinear Functional Dynamic Equations

79John R. Graef, Lingju Kong, and Min Wang

Infinitely Many Homoclinic Solutions for Second Order Difference Equations with P-laplacian

95Johnny Henderson

Existence of Local Solutions for Boundary Value Problems with Integral Conditions

103Raegan Higgins

Oscillation of Certain Dynamic Equations on Time Scales

113Qingkai Kong and Thomas E. St. George

Matching Method for Nodal Solutions Of Boundary Value Problems with Integral Boundary Conditions

129Youssef N. Raffoul and Mehmet Ünal

Boundedness, Periodic Solutions and Stability in Neutral Functional Delay Equations with Application to Bernoulli Type Differential Equations

149Andrew Conner, Min Wang, and Claire Zajaczkowski

Uniqueness and Parameter Dependence of Positive Solutions of Discrete Periodic Boundary Value Problems

163Amit K. Verma and Mandeep Singh

Maximum Principle and Nonlinear Three Point Singular Boundary Value Problems Arising Due to Spherical Symmetry

175Chengjun Guo, Donal O’Regan, Feiqi Deng, and Ravi P. Agarwal

Fixed Points and Exponential Stability for Uncertain Stochastic Neural Networks with Multiple Mixed Time-Delays

191A. Amini-Harandi and D. O’Regan

On Coupled and Tripled Fixed Point Theory of Multi-valued Contraction Mappings in Partially Ordered Metric Spaces

209George A. Anastassiou and Merve Kester

L Approximation with Rates by Generalized Discrete Singular Operators

217Donal O’Regan

Fixed Point Results for Maps with Weakly Sequentially Closed Graphs

235F. A. Mcrae, J. Vasundhara Devi, and Z. Drici

Existence Result for Periodic Boundary Value Problem of Set Differential Equations Using Monotone Iterative Technique

245N. G. Medhin

Semiclassical Asymptotic Approach to Optimal Control of a Quantum Dynamics

257Ihor L. Ivanov and Anatoliy A. Martynyuk

Stability Results for Delay Power System under Impulsive Perturbations

275Bapurao C. Dhage and Shyam B. Dhage

Differential Inequalities and Comparison Theorems for Nonlinear First Order Volterra Integro-Differential Equations

287M. O. Ogundiran

On the Mild Solutions of Quantum Stochastic Evolution Inclusions

307Seshadev Padhi and Smita Pati

Multiple Positive Periodic Solutions for a Nonlinear First Order Functional Difference Equation with Application to Hematopoiesis Model

319K. R. Prasad, K. R. Kumar, and N. Sreedhar

Multiple Positive Solutions for Two-Point Boundary Value Problems Associated with Ternary System of Differential Equations

329Linshan Wang and Kuisen Ma

Exponential Stability of Stochastic Cohen-Grossberg-Type Bam Neural Networks with S-Type Distributed Delays

343Zachary Denton

Monotone Method for Multi-Order 2-Systems of Riemann-Liouville Fractional Differential Equations

353Ravi P. Agarwal, Said R. Grace, and Taher S. Hassan

Oscillation Criteria for Higher Order Nonlinear Functional Dynamic Equations With Mixed Nonlinearities

369Douglas R. Anderson and Richard I. Avery

Existence of a Solution to a Conjugate Boundary Value Problem Applying a Corollary of the Omitted Ray Fixed Point Theorem

403Mouffak Benchohra and Jamal E. Lazrega

Existence Results for Nonlinear Implicit Fractional Differential Equations with Impulse

413Abdelkader Boucherif

Positive Solutions of Nonlocal Multipoint Boundary Value Problems

427Bapurao C. Dhage

Global Existence and Convergence Analysis For Hybrid Differential Equations

439Paul Eloe, Jeffrey W. Lyons, and Jeffrey T. Neugebauer

An Ordering on Green’s Functions for a Family of Two-Point Boundary Value Problems For Fractional Differential Equations

453Lynn Erbe and Taher S. Hassan

Hille and Nehari Type Criteria for Higher Order Functional Dynamic Equations

463John R. Graef, Lingju Kong, and Min Wang

Two Nontrivial Solutions for a Discrete Fourth Order Periodic Boundary Value Problem

487John R. Graef, Lingju Kong, Qingkai Kong, and Min Wang

A Fractional Boundary Value Problem With Dirichlet Boundary Condition

497Eric R. Kaufmann

Existence of Positive Solutions to a Second-Order Differential Equation at Resonance

505Rahmat Ali Khan and Kamal Shah

Existence and Uniqueness of Solutions to Fractional Order Multi-Point Boundary Value Problems

515Qingkai Kong and Michael Mccabe

Positive Solutions of Boundary Value Problems For Higher-Order Nonlinear Fractional Differential Equations

527Nickolai Kosmatov

A Fourth-Order Semipositone Boundary Value Problem

543Curtis Kunkel and Ashley Martin

Positive Solutions to Singular Higher Order Boundary Value Problems On Purely Discrete Time Scales

553Hairong Lian, Haiyan Wang, Mengnien Wu, and Tangan Gao

Positive Solutions of Singular Algebraic Systems With a Parameter

565Xueyan Liu

The Solution Matching by Liapunov Theory of BVPs With Odd Gaps in Boundary Conditions for Nth Order Differential Equations

579

Rodica Luca and Alexandru Tudorache

Existence of Positive Solutions to a System Of Higher-Order Semipositone Integral Boundary Value Problems

589Sotiris K. Ntouyas and Jessada Tariboon

Boundary Value Problems for Fractional Differential Equations and Inclusions With Nonlocal and Riemann-Liouville Integral Boundary Conditions

605Abdelghani Ouahab

Some Perov’s and Krasnoselskii Type Fixed Point Results and Application

623Ian Pierce and David Skoug

Integrating Path-Dependent Functionals on Yeh-Wiener Space

643K. R. Prasad and B. M. B. Krushna

Solvability of P-Laplacian Fractional Higher Order Two-Point Boundary Value Problems

659Tingxiu Wang

Generalization of Gronwall’s Inequality and its Applications in Functional Differential Equations

679Bo Yang

Positive Solutions for a Boundary Value Problem of the Discrete Beam Equation

689Editorial Board 701Content703Author Index 707