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 Table of Contents
Functional Differential and Difference Equations with Applications
“Functional Differential and Difference Equations with Applications” is an annual special issue published in “Abstract and Applied Analysis.” The current issue is the 2013 issue, which is now closed for submissions.
Functional Differential and Difference Equations with Applications 2013
Guest Editors:
J. Diblík, E. Braverman, I. Györi, Yu. Rogovchenko, M. Růžičková, and A. Zafer

Existence and Global Exponential Stability of Equilibrium for Impulsive Cellular Neural Network Models with Piecewise Alternately Advanced and Retarded Argument, KuoShou Chiu
Volume 2013 (2013), Article ID 196139, 13 pages 
NewtonKantorovich and Smale Uniform Type Convergence Theorem for a Deformed Newton Method in Banach Spaces, Rongfei Lin, Yueqing Zhao, Zdeněk Šmarda, Yasir Khan, and Qingbiao Wu
Volume 2013 (2013), Article ID 923898, 8 pages 
Asymptotic Behavior of Solutions to a Vector Integral Equation with Deviating Arguments, Cristóbal González and Antonio JiménezMelado
Volume 2013 (2013), Article ID 957696, 7 pages 
Stability and Global Hopf Bifurcation Analysis on a RatioDependent PredatorPrey Model with Two Time Delays, Huitao Zhao, Yiping Lin, and Yunxian Dai
Volume 2013 (2013), Article ID 321930, 15 pages 
Boundedness of Solutions for a Class of SecondOrder Periodic Systems, Shunjun Jiang and Yan Ding
Volume 2013 (2013), Article ID 267572, 9 pages 
Moment Equations in Modeling a Stable Foreign Currency Exchange Market in Conditions of Uncertainty, Josef Diblík, Irada Dzhalladova, Mária Michalková, and Miroslava Růžičková
Volume 2013 (2013), Article ID 172847, 11 pages 
Singular Initial Value Problem for Certain Classes of Systems of Ordinary Differential Equations, Josef Diblík, Josef Rebenda, and Zdeněk Šmarda
Volume 2013 (2013), Article ID 207352, 12 pages 
Stability of Impulsive Differential Systems, Andrejs Reinfelds and Lelde Sermone
Volume 2013 (2013), Article ID 253647, 11 pages 
Infinitely Many Periodic Solutions to Delay Differential Equations via Critical Point Theory, Xiaosheng Zhang and Duo Wang
Volume 2013 (2013), Article ID 526350, 7 pages 
On Linear Difference Equations for Which the Global Periodicity Implies the Existence of an Equilibrium, István Győri and László Horváth
Volume 2013 (2013), Article ID 971394, 5 pages 
Oscillation Theorems for Even Order Damped Equations with Distributed Deviating Arguments, Chunxia Gao and Peiguang Wang
Volume 2013 (2013), Article ID 393892, 10 pages 
Impulsive Boundary Value Problems for Planar Hamiltonian Systems, Zeynep Kayar and Ağacık Zafer
Volume 2013 (2013), Article ID 892475, 6 pages 
Oscillation of HalfLinear Differential Equations with Delay, Simona Fišnarová and Robert Mařík
Volume 2013 (2013), Article ID 583147, 6 pages 
Some New Nonlinear Weakly Singular Inequalities and Applications to VolterraType Difference Equation, Kelong Zheng, Wenqiang Feng, and Chunxiang Guo
Volume 2013 (2013), Article ID 912874, 6 pages 
Heat Transfer Analysis on the Hiemenz Flow of a NonNewtonian Fluid: A Homotopy Method Solution, Yasir Khan and Zdeněk Šmarda
Volume 2013 (2013), Article ID 342690, 5 pages 
Asymptotic Behavior of Solutions to a Linear Volterra Integrodifferential System, YueWen Cheng and HuiSheng Ding
Volume 2013 (2013), Article ID 245905, 5 pages 
Regularity of a Stochastic Fractional Delayed ReactionDiffusion Equation Driven by Lévy Noise, Tianlong Shen, Jianhua Huang, and Jin Li
Volume 2013 (2013), Article ID 807459, 11 pages 
A HalfInverse Problem for Impulsive Dirac Operator with Discontinuous Coefficient, Yalçın Güldü
Volume 2013 (2013), Article ID 181809, 4 pages 
Functional Differential and Difference Equations with Applications 2013, J. Diblík, E. Braverman, I. Györi, Yu. Rogovchenko, M. Růžičková, and A. Zafer
Volume 2014 (2014), Article ID 543797, 2 pages 
DuffingType Oscillator with a Bounded from above Potential in the Presence of SaddleCenter Bifurcation and Singular Perturbation: Frequency Control, Robert Vrabel, Pavol Tanuska, Pavel Vazan, Peter Schreiber, and Vladimir Liska
Volume 2013 (2013), Article ID 848613, 7 pages 
General Explicit Solution of Planar Weakly Delayed Linear Discrete Systems and Pasting Its Solutions, Josef Diblík and Hana Halfarová
Volume 2014 (2014), Article ID 627295, 37 pages 
Representation of the Solutions of Linear Discrete Systems with Constant Coefficients and Two Delays, Josef Diblík and Blanka Morávková
Volume 2014 (2014), Article ID 320476, 19 pages 
Spatial Approximation of Nondivergent Type Parabolic PDEs with Unbounded Coefficients Related to Finance, Fernando F. Gonçalves and Maria Rosário Grossinho
Volume 2014 (2014), Article ID 801059, 11 pages 
Stability Analysis of Impulsive Stochastic Functional Differential Equations with Delayed Impulses via Comparison Principle and Impulsive Delay Differential Inequality, Pei Cheng, Fengqi Yao, and Mingang Hua
Volume 2014 (2014), Article ID 710150, 9 pages 
Automorphisms of Ordinary Differential Equations, Václav Tryhuk and Veronika Chrastinová
Volume 2014 (2014), Article ID 482963, 32 pages 
On the Periodicity of Some Classes of Systems of Nonlinear Difference Equations, Stevo Stević, Mohammed A. Alghamdi, Dalal A. Maturi, and Naseer Shahzad
Volume 2014 (2014), Article ID 982378, 6 pages 
On Asymptotic Behavior of Solutions of Generalized EmdenFowler Differential Equations with Delay Argument, Alexander Domoshnitsky and Roman Koplatadze
Volume 2014 (2014), Article ID 168425, 13 pages 
Asymptotic Behavior of HigherOrder Quasilinear Neutral Differential Equations, Tongxing Li and Yuriy V. Rogovchenko
Volume 2014 (2014), Article ID 395368, 11 pages
Functional Differential and Difference Equations with Applications 2012
Guest Editors: Josef Diblík, Elena Braverman, István Györi, Yuriy Rogovchenko, Miroslava Růžičková, and Ağacık Zafer

Functional Differential and Difference Equations with Applications, Josef Diblík, Elena Braverman, István Györi, Yuriy Rogovchenko, Miroslava Růžičková, and Ağacık Zafer
Volume 2012 (2012), Article ID 986585, 3 pages 
Dynamics in a Delayed Neural Network Model of Two Neurons with Inertial Coupling, Changjin Xu and Peiluan Li
Volume 2012 (2012), Article ID 689319, 17 pages 
Periodic Solutions in Shifts
for a Nonlinear Dynamic Equation on Time Scales, Erbil Çetin and F. Serap Topal
Volume 2012 (2012), Article ID 707319, 17 pages 
Positive Solutions and Iterative Approximations for a Nonlinear TwoDimensional Difference System with Multiple Delays, Zeqing Liu, Shin Min Kang, and Young Chel Kwun
Volume 2012 (2012), Article ID 240378, 57 pages 
Asymptotic Behaviour of a TwoDimensional Differential System with a Finite Number of Nonconstant Delays under the Conditions of Instability, Zdeněk Šmarda and Josef Rebenda
Volume 2012 (2012), Article ID 952601, 20 pages 
Solution of the First BoundaryValue Problem for a System of Autonomous SecondOrder Linear Partial Differential Equations of Parabolic Type with a Single Delay, Josef Diblík, Denis Khusainov, Oleksandra Kukharenko, and Zdeněk Svoboda
Volume 2012 (2012), Article ID 219040, 27 pages 
Oscillation Theorems for SecondOrder Quasilinear Neutral Functional Differential Equations, Shurong Sun, Tongxing Li, Zhenlai Han, and Hua Li
Volume 2012 (2012), Article ID 819342, 17 pages 
The Stability of Nonlinear Differential Systems with Random Parameters, Josef Diblík, Irada Dzhalladova, and Miroslava Růžičková
Volume 2012 (2012), Article ID 924107, 11 pages 
Switched Exponential State Estimation and Robust Stability for Interval Neural Networks with Discrete and Distributed Time Delays, Hongwen Xu, Huaiqin Wu, and Ning Li
Volume 2012 (2012), Article ID 103542, 20 pages 
Existence of Periodic Solutions for a Class of Difference Systems with pLaplacian, Kai Chen and Qiongfen Zhang
Volume 2012 (2012), Article ID 135903, 18 pages 
Stochastic Delay Logistic Model under Regime Switching, Zheng Wu, Hao Huang, and Lianglong Wang
Volume 2012 (2012), Article ID 241702, 26 pages 
FiniteTime Attractivity for Diagonally Dominant Systems with OffDiagonal Delays, T. S. Doan and S. Siegmund
Volume 2012 (2012), Article ID 210156, 10 pages 
Bounded Positive Solutions for a Third Order Discrete Equation, Zeqing Liu, Ming Jia, Shin Min Kang, and Young Chel Kwun
Volume 2012 (2012), Article ID 237036, 12 pages 
Adaptive ObserverBased Fault Estimation for Stochastic Markovian Jumping Systems, Shuping He and Fei Liu
Volume 2012 (2012), Article ID 176419, 11 pages 
Mean Square Exponential Stability of Stochastic Switched System with Interval TimeVarying Delays, Manlika Rajchakit and Grienggrai Rajchakit
Volume 2012 (2012), Article ID 623014, 12 pages 
The Permanence and Extinction of the Single Species with Contraception Control and Feedback Controls, Qiuying Li, Fengqin Zhang, Xiaomei Feng, Wenjuan Wang, and Kai Wang
Volume 2012 (2012), Article ID 589202, 14 pages 
Interval Oscillation Criteria of Second Order Mixed Nonlinear Impulsive Differential Equations with Delay, Zhonghai Guo, Xiaoliang Zhou, and WuSheng Wang
Volume 2012 (2012), Article ID 351709, 23 pages 
Dirichlet Problems with an Indefinite and Unbounded Potential and ConcaveConvex Nonlinearities, Leszek Gasiński and Nikolaos S. Papageorgiou
Volume 2012 (2012), Article ID 492025, 36 pages 
Existence of Bounded Positive Solutions for Partial Difference Equations with Delays, Zeqing Liu, Zhihua Wu, Young Chel Kwun, and Shin Min Kang
Volume 2012 (2012), Article ID 191254, 21 pages 
Uniqueness Theorems on Entire Functions and Their Difference Operators or Shifts, Baoqin Chen, Zongxuan Chen, and Sheng Li
Volume 2012 (2012), Article ID 906893, 8 pages 
Positive Periodic Solutions for FirstOrder Neutral Functional Differential Equations with Periodic Delays, Zeqing Liu, Xin Li, Shin Min Kang, and Young Chel Kwun
Volume 2012 (2012), Article ID 185692, 12 pages 
A Linear Homogeneous Partial Differential Equation with Entire Solutions Represented by Laguerre Polynomials, XinLi Wang, FengLi Zhang, and PeiChu Hu
Volume 2012 (2012), Article ID 609862, 10 pages 
Almost Periodic (Type) Solutions to Parabolic Cauchy Inverse Problems, Fenglin Yang and Chuanyi Zhang
Volume 2012 (2012), Article ID 180894, 17 pages 
Bounded Oscillation of a Forced Nonlinear Neutral Differential Equation, Zeqing Liu, Yuguang Xu, Shin Min Kang, and Young Chel Kwun
Volume 2012 (2012), Article ID 546302, 33 pages 
Asymptotic Upper and Lower Estimates of a Class of Positive Solutions of a Discrete Linear Equation with a Single Delay, J. Diblík and I. Hlavičková
Volume 2012 (2012), Article ID 764351, 12 pages 
Existence and Global Exponential Stability of Periodic Solution to CohenGrossberg BAM Neural Networks with TimeVarying Delays, Kaiyu Liu, Zhengqiu Zhang, and Liping Wang
Volume 2012 (2012), Article ID 805846, 21 pages 
Globally Exponential Stability of Periodic Solutions to Impulsive Neural Networks with TimeVarying Delays, Yuanfu Shao, Changjin Xu, and Qianhong Zhang
Volume 2012 (2012), Article ID 358362, 14 pages 
MonotoneIterative Method for the Initial Value Problem with Initial Time Difference for Differential Equations with “Maxima”, S. Hristova and A. Golev
Volume 2012 (2012), Article ID 493271, 17 pages 
Exponential Stability of Impulsive Stochastic Functional Differential Systems, Zheng Wu, Hao Huang, and Lianglong Wang
Volume 2012 (2012), Article ID 678536, 12 pages 
Smooth Solutions of a Class of Iterative Functional Differential Equations, Houyu Zhao
Volume 2012 (2012), Article ID 954352, 13 pages 
Necessary and Sufficient Condition for the Existence of Solutions to a Discrete SecondOrder Boundary Value Problem, Chenghua Gao
Volume 2012 (2012), Article ID 951251, 12 pages 
Periodic Solutions for Duffing Type Laplacian Equation with Multiple Constant Delays, Hong Zhang and Junxia Meng
Volume 2012 (2012), Article ID 760918, 8 pages 
Study of Solutions to Some Functional Differential Equations with Piecewise Constant Arguments, Juan J. Nieto and Rosana RodríguezLópez
Volume 2012 (2012), Article ID 851691, 25 pages 
Positive Solutions for Neumann Boundary Value Problems of SecondOrder Impulsive Differential Equations in Banach Spaces, Xiaoya Liu and Yongxiang Li
Volume 2012 (2012), Article ID 401923, 14 pages 
Existence and Multiplicity of Positive Solutions of a Nonlinear Discrete FourthOrder Boundary Value Problem, Ruyun Ma and Yanqiong Lu
Volume 2012 (2012), Article ID 918082, 17 pages 
Fixed Point Theorems and Uniqueness of the Periodic Solution
for the Hematopoiesis Models, Jun Wu and Yicheng Liu
Volume 2012 (2012), Article ID 387193, 7 pages 
Existence of Positive Solutions of Neutral Differential Equations, B. Dorociaková, M. Kubjatková, and R. Olach
Volume 2012 (2012), Article ID 307968, 14 pages 
Monotonic Positive Solutions of Nonlocal Boundary Value Problems for a SecondOrder Functional Differential Equation, A. M. A. ElSayed, E. M. Hamdallah, and Kh. W. Elkadeky
Volume 2012 (2012), Article ID 489353, 12 pages 
Existence of OneSigned Solutions of Discrete SecondOrder Periodic Boundary Value Problems, Ruyun Ma, Yanqiong Lu, and Tianlan Chen
Volume 2012 (2012), Article ID 437912, 13 pages