Communications in Applied Analysis
Volume 19, 2015
CONTENTS
Douglas R. Anderson, Heidi Berger, and Lynn Erbe
A Brief Academic Biography of Professor Allan C. Peterson
1 Said Grace, Elvan Akin, and Ravi Agarwal
Oscillatory Theorems for Certain Second Order Damped Dynamic Inclusions with Distributed Deviating Arguments
3 Douglas R. Anderson and Jenna Otto
Hyers–ulam Stability of Linear Differential Equations with Vanishing Coefficients
15 Ferhan M. Atici and Paul W. Eloe
Linear Forward Fractional Difference Equations
31 Richard Avery Johnny Henderson, and Xueyan Liu
Multiple Fixed Point Theorems with Omitted Ray Conditions
43 Pushp R. Awasthi, Lynn H. Erbe, and Allan C. Peterson
Existence and Uniqueness Results for Positive Solutions of A Nonlinear Fractional Difference Equation
61 Lynn Erbe and Taher S. Hassan
Comparison Theorems for Higher Order Forced Nonlinear Functional Dynamic Equations
79 John R. Graef, Lingju Kong, and Min Wang
Infinitely Many Homoclinic Solutions for Second Order Difference Equations with P-laplacian
95 Johnny Henderson
Existence of Local Solutions for Boundary Value Problems with Integral Conditions
103 Raegan Higgins
Oscillation of Certain Dynamic Equations on Time Scales
113 Qingkai Kong and Thomas E. St. George
Matching Method for Nodal Solutions Of Boundary Value Problems with Integral Boundary Conditions
129 Youssef N. Raffoul and Mehmet Ünal
Boundedness, Periodic Solutions and Stability in Neutral Functional Delay Equations with Application to Bernoulli Type Differential Equations
149 Andrew Conner, Min Wang, and Claire Zajaczkowski
Uniqueness and Parameter Dependence of Positive Solutions of Discrete Periodic Boundary Value Problems
163 Amit K. Verma and Mandeep Singh
Maximum Principle and Nonlinear Three Point Singular Boundary Value Problems Arising Due to Spherical Symmetry
175 Chengjun 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
191 A. Amini-Harandi and D. O’Regan
On Coupled and Tripled Fixed Point Theory of Multi-valued Contraction Mappings in Partially Ordered Metric Spaces
209 George A. Anastassiou and Merve Kester
L Approximation with Rates by Generalized Discrete Singular Operators
217 Donal O’Regan
Fixed Point Results for Maps with Weakly Sequentially Closed Graphs
235 F. A. Mcrae, J. Vasundhara Devi, and Z. Drici
Existence Result for Periodic Boundary Value Problem of Set Differential Equations Using Monotone Iterative Technique
245 N. G. Medhin
Semiclassical Asymptotic Approach to Optimal Control of a Quantum Dynamics
257 Ihor L. Ivanov and Anatoliy A. Martynyuk
Stability Results for Delay Power System under Impulsive Perturbations
275 Bapurao C. Dhage and Shyam B. Dhage
Differential Inequalities and Comparison Theorems for Nonlinear First Order Volterra Integro-Differential Equations
287 M. O. Ogundiran
On the Mild Solutions of Quantum Stochastic Evolution Inclusions
307 Seshadev Padhi and Smita Pati
Multiple Positive Periodic Solutions for a Nonlinear First Order Functional Difference Equation with Application to Hematopoiesis Model
319 K. R. Prasad, K. R. Kumar, and N. Sreedhar
Multiple Positive Solutions for Two-Point Boundary Value Problems Associated with Ternary System of Differential Equations
329 Linshan Wang and Kuisen Ma
Exponential Stability of Stochastic Cohen-Grossberg-Type Bam Neural Networks with S-Type Distributed Delays
343 Zachary Denton
Monotone Method for Multi-Order 2-Systems of Riemann-Liouville Fractional Differential Equations
353 Ravi P. Agarwal, Said R. Grace, and Taher S. Hassan
Oscillation Criteria for Higher Order Nonlinear Functional Dynamic Equations With Mixed Nonlinearities
369 Douglas 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
403 Mouffak Benchohra and Jamal E. Lazrega
Existence Results for Nonlinear Implicit Fractional Differential Equations with Impulse
413 Abdelkader Boucherif
Positive Solutions of Nonlocal Multipoint Boundary Value Problems
427 Bapurao C. Dhage
Global Existence and Convergence Analysis For Hybrid Differential Equations
439 Paul 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
453 Lynn Erbe and Taher S. Hassan
Hille and Nehari Type Criteria for Higher Order Functional Dynamic Equations
463 John R. Graef, Lingju Kong, and Min Wang
Two Nontrivial Solutions for a Discrete Fourth Order Periodic Boundary Value Problem
487 John R. Graef, Lingju Kong, Qingkai Kong, and Min Wang
A Fractional Boundary Value Problem With Dirichlet Boundary Condition
497 Eric R. Kaufmann
Existence of Positive Solutions to a Second-Order Differential Equation at Resonance
505 Rahmat Ali Khan and Kamal Shah
Existence and Uniqueness of Solutions to Fractional Order Multi-Point Boundary Value Problems
515 Qingkai Kong and Michael Mccabe
Positive Solutions of Boundary Value Problems For Higher-Order Nonlinear Fractional Differential Equations
527 Nickolai Kosmatov
A Fourth-Order Semipositone Boundary Value Problem
543 Curtis Kunkel and Ashley Martin
Positive Solutions to Singular Higher Order Boundary Value Problems On Purely Discrete Time Scales
553 Hairong Lian, Haiyan Wang, Mengnien Wu, and Tangan Gao
Positive Solutions of Singular Algebraic Systems With a Parameter
565 Xueyan 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
589 Sotiris K. Ntouyas and Jessada Tariboon
Boundary Value Problems for Fractional Differential Equations and Inclusions With Nonlocal and Riemann-Liouville Integral Boundary Conditions
605 Abdelghani Ouahab
Some Perov’s and Krasnoselskii Type Fixed Point Results and Application
623 Ian Pierce and David Skoug
Integrating Path-Dependent Functionals on Yeh-Wiener Space
643 K. R. Prasad and B. M. B. Krushna
Solvability of P-Laplacian Fractional Higher Order Two-Point Boundary Value Problems
659 Tingxiu Wang
Generalization of Gronwall’s Inequality and its Applications in Functional Differential Equations
679 Bo Yang
Positive Solutions for a Boundary Value Problem of the Discrete Beam Equation
689 Editorial Board 701 Content 703 Author Index 707