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 Table of Contents
WellPosed and IllPosed Boundary Value Problems for PDE
“WellPosed and IllPosed Boundary Value Problems for PDE” is an annual special issue published in “Abstract and Applied Analysis.” The current issue is the 2014 issue, which is now closed for submissions.
WellPosed and IllPosed Boundary Value Problems for PDE 2014
Guest Editors:
Allaberen Ashyralyev, Sergey Piskarev, Valery Covachev, Ravshan Ashurov, Hasan A. Yurtsever, and Abdullah S. Erdogan

Spectrums of Solvable Pantograph DifferentialOperators for First Order, Z. I. Ismailov and P. Ipek
Volume 2014 (2014), Article ID 837565, 8 pages
More articles will be published in this Special Issue.
WellPosed and IllPosed Boundary Value Problems for PDE 2013
Guest Editors: Allaberen Ashyralyev, Sergey Piskarev, Valery Covachev, Ravshan Ashurov, Hasan Ali Yurtsever, and Abdullah Said Erdogan

WellPosed and IllPosed Boundary Value Problems for PDE 2013, Allaberen Ashyralyev, Sergey Piskarev, Valery Covachev, Ravshan Ashurov, Hasan Ali Yurtsever, and Abdullah Said Erdogan
Volume 2013 (2013), Article ID 468274, 2 pages 
An Analytical Solution for Effect of Magnetic Field and Initial Stress on an Infinite Generalized Thermoelastic Rotating Nonhomogeneous Diffusion Medium, S. R. Mahmoud
Volume 2013 (2013), Article ID 284646, 11 pages 
On Stability of a Third Order of Accuracy Difference Scheme for Hyperbolic Nonlocal BVP with SelfAdjoint Operator, Allaberen Ashyralyev and Ozgur Yildirim
Volume 2013 (2013), Article ID 959216, 15 pages 
Determination of a Control Parameter for the Difference Schrödinger Equation, Allaberen Ashyralyev and Mesut Urun
Volume 2013 (2013), Article ID 548201, 8 pages 
Green's Function Method for SelfAdjoint Realization of BoundaryValue Problems with Interior Singularities, K. Aydemir and O. Sh. Mukhtarov
Volume 2013 (2013), Article ID 503267, 7 pages 
Nonstationary Fronts in the Singularly Perturbed PowerSociety Model, M. G. Dmitriev, A. A. Pavlov, and A. P. Petrov
Volume 2013 (2013), Article ID 172654, 8 pages 
Approximate Solution of Inverse Problem for Elliptic Equation with Overdetermination, Charyyar Ashyralyyev and Mutlu Dedeturk
Volume 2013 (2013), Article ID 548017, 11 pages 
About the Nature of the Spectrum of the Periodic Problem for the Heat Equation with a Deviating Argument, I. Orazov, A. Shaldanbayev, and M. Shomanbayeva
Volume 2013 (2013), Article ID 128363, 6 pages 
A Dirac System with Transmission Condition and Eigenparameter in Boundary Condition, Abdullah Kablan and Tülay Özden
Volume 2013 (2013), Article ID 395457, 6 pages 
The Initial and Neumann Boundary Value Problem for a Class Parabolic MongeAmpère Equation, Juan Wang, Jinlin Yang, and Xinzhi Liu
Volume 2013 (2013), Article ID 535629, 8 pages 
Blowup Phenomena for a Modified DullinGottwaldHolm Shallow Water System, Panpan Zhai, Zhengguang Guo, and Weiming Wang
Volume 2013 (2013), Article ID 548310, 8 pages 
A FourthOrder BlockGrid Method for Solving Laplace's Equation on a Staircase Polygon with Boundary Functions in , A. A. Dosiyev and S. Cival Buranay
Volume 2013 (2013), Article ID 864865, 11 pages 
Analysis of the BlockGrid Method for the Solution of Laplace's Equation on Polygons with a Slit, S. Cival Buranay
Volume 2013 (2013), Article ID 948564, 8 pages
WellPosed and IllPosed Boundary Value Problems for PDE 2012
Guest Editors: Allaberen Ashyralyev, Sergey Piskarev, Valery Covachev, Ravshan Ashurov, and Hasan Ali Yurtsever

WellPosed and IllPosed Boundary Value Problems for PDE, Allaberen Ashyralyev, Sergey Piskarev, Valery Covachev, Ravshan Ashurov, and Hasan Ali Yurtsever
Volume 2012 (2012), Article ID 492589, 2 pages 
An Approximation of Semigroups Method for Stochastic Parabolic Equations, Allaberen Ashyralyev and Mehmet Emin San
Volume 2012 (2012), Article ID 684248, 24 pages 
FDM for Elliptic Equations with BitsadzeSamarskiiDirichlet Conditions, Allaberen Ashyralyev and Fatma Songul Ozesenli Tetikoglu
Volume 2012 (2012), Article ID 454831, 22 pages 
Regularity for Variational Evolution Integrodifferential Inequalities, Yong Han Kang and JinMun Jeong
Volume 2012 (2012), Article ID 797516, 18 pages 
WellPosedness of the First Order of Accuracy Difference Scheme for EllipticParabolic Equations in Hölder Spaces, Okan Gercek
Volume 2012 (2012), Article ID 237657, 12 pages 
Basis Properties of Eigenfunctions of SecondOrder Differential Operators with Involution, Asylzat Kopzhassarova and Abdizhakhan Sarsenbi
Volume 2012 (2012), Article ID 576843, 6 pages 
A Note on the Inverse Problem for a Fractional Parabolic Equation, Abdullah Said Erdogan and Hulya Uygun
Volume 2012 (2012), Article ID 276080, 26 pages 
Exact Asymptotic Expansion of Singular Solutions for the (
)D Protter Problem, Lubomir Dechevski, Nedyu Popivanov, and Todor Popov
Volume 2012 (2012), Article ID 278542, 33 pages 
A Note on the Second Order of Accuracy Stable Difference Schemes for the Nonlocal Boundary Value Hyperbolic Problem, Allaberen Ashyralyev and Ozgur Yildirim
Volume 2012 (2012), Article ID 846582, 29 pages 
Classification of Exact Solutions for Some Nonlinear Partial Differential Equations with Generalized Evolution, Yusuf Pandir, Yusuf Gurefe, Ugur Kadak, and Emine Misirli
Volume 2012 (2012), Article ID 478531, 16 pages 
Numerical Solution of Stochastic Hyperbolic Equations, Necmettin Aggez and Maral Ashyralyyewa
Volume 2012 (2012), Article ID 824819, 20 pages 
Spectral Properties of NonSelfAdjoint Perturbations for a Spectral Problem with Involution, Asylzat A. Kopzhassarova, Alexey L. Lukashov, and Abdizhakhan M. Sarsenbi
Volume 2012 (2012), Article ID 590781, 5 pages 
The Numerical Solution of the BitsadzeSamarskii Nonlocal Boundary Value Problems with the DirichletNeumann Condition, Allaberen Ashyralyev and Elif Ozturk
Volume 2012 (2012), Article ID 730804, 13 pages 
Existence and Nonexistence of Positive Solutions for Quasilinear Elliptic Problem, K. Saoudi
Volume 2012 (2012), Article ID 275748, 9 pages 
On Generalized Localization of Fourier Inversion Associated with an Elliptic Operator for Distributions, Ravshan Ashurov, Almaz Butaev, and Biswajeet Pradhan
Volume 2012 (2012), Article ID 649848, 13 pages 
A Note on the Stability of the IntegralDifferential Equation of the Parabolic Type in a Banach Space, Maksat Ashyraliyev
Volume 2012 (2012), Article ID 178084, 18 pages 
Finite Difference Method for the Reverse Parabolic Problem, Charyyar Ashyralyyev, Ayfer Dural, and Yasar Sozen
Volume 2012 (2012), Article ID 294154, 17 pages 
On the Regularized Solutions of Optimal Control Problem in a Hyperbolic System, Yeşim Saraç and Murat Subaşı
Volume 2012 (2012), Article ID 156541, 12 pages 
Stability of Difference Schemes for Fractional Parabolic PDE with the DirichletNeumann Conditions, Zafer Cakir
Volume 2012 (2012), Article ID 463746, 17 pages 
Asymptotic Solutions of Singular Perturbed Problems with an Instable Spectrum of the Limiting Operator, Burkhan T. Kalimbetov, Marat A. Temirbekov, and Zhanibek O. Khabibullayev
Volume 2012 (2012), Article ID 120192, 16 pages 
InitialBoundary Value Problem for Fractional Partial Differential Equations of Higher Order, Djumaklych Amanov and Allaberen Ashyralyev
Volume 2012 (2012), Article ID 973102, 16 pages 
A Note on the RightHand Side Identification Problem Arising in Biofluid Mechanics, Abdullah Said Erdogan
Volume 2012 (2012), Article ID 548508, 25 pages 
On the Second Order of Accuracy Stable Implicit Difference Scheme for EllipticParabolic Equations, Allaberen Ashyralyev and Okan Gercek
Volume 2012 (2012), Article ID 230190, 13 pages 
On Global Solutions for the Cauchy Problem of a BoussinesqType Equation, Hatice Taskesen, Necat Polat, and Abdulkadir Ertaş
Volume 2012 (2012), Article ID 535031, 10 pages 
Inverse Scattering from a SoundHard Crack via TwoStep Method, KuoMing Lee
Volume 2012 (2012), Article ID 810676, 13 pages 
Existence and Uniqueness of Solutions for the System of Nonlinear Fractional Differential Equations with Nonlocal and Integral Boundary Conditions, Allaberen Ashyralyev and Yagub A. Sharifov
Volume 2012 (2012), Article ID 594802, 14 pages 
Efficient Variational Approaches for Deformable Registration of Images, Mehmet Ali Akinlar, Muhammet Kurulay, Aydin Secer, and Mustafa Bayram
Volume 2012 (2012), Article ID 704567, 8 pages 
The Difference Problem of Obtaining the Parameter of a Parabolic Equation, Charyyar Ashyralyyev and Oznur Demirdag
Volume 2012 (2012), Article ID 603018, 14 pages 
KamenevType Oscillation Criteria for the SecondOrder Nonlinear Dynamic Equations with Damping on Time Scales, M. Tamer Şenel
Volume 2012 (2012), Article ID 253107, 18 pages 
Generalizations of Wendroff Integral Inequalities and Their Discrete Analogues, Maksat Ashyraliyev
Volume 2012 (2012), Article ID 768062, 15 pages 
A Note on Nonlocal Boundary Value Problems for Hyperbolic Schrödinger Equations, Yildirim Ozdemir and Mehmet Kucukunal
Volume 2012 (2012), Article ID 687321, 12 pages 
A New Approach for Linear Eigenvalue Problems and Nonlinear Euler Buckling Problem, Meltem Evrenosoglu Adiyaman and Sennur Somali
Volume 2012 (2012), Article ID 697013, 21 pages 
An Approximation of UltraParabolic Equations, Allaberen Ashyralyev and Serhat Yılmaz
Volume 2012 (2012), Article ID 840621, 14 pages 
Approximate Solutions of Delay Parabolic Equations with the Dirichlet Condition, Deniz Agirseven
Volume 2012 (2012), Article ID 682752, 31 pages 
Existence Results for Solutions of Nonlinear Fractional Differential Equations, Ali Yakar and Mehmet Emir Koksal
Volume 2012 (2012), Article ID 267108, 12 pages 
On the Global WellPosedness of the Viscous TwoComponent CamassaHolm System, Xiuming Li
Volume 2012 (2012), Article ID 327572, 15 pages 
The Local and Global Existence of Solutions for a Generalized CamassaHolm Equation, Nan Li, Shaoyong Lai, Shuang Li, and Meng Wu
Volume 2012 (2012), Article ID 532369, 26 pages