Communications in Applied Analysis

Volume 11, 2007


CONTENTS

X. Hou,
Variable Structure Control of Infinite Dimensional Systems with Applications

 

1
K.L. Duggal and R. Sharma
Conformal Evolution of Spacetime Solutions of Einstein’s Equations

 
15
Ratan Dasgupta and Sisir Roy
Spectrum of Zero Point Field and Statistical Stability

 
23
Devendra Kumar
Wavelet Transforms and Quasi_Interpolation Operator

 
31
Marianne K. Korten and Charles N. Moore
The Cauchy Problem for the Two Phase Stefan Problem

 
43
Fernanda Botelho, James E. Jamison, and J. Angela Murdock
Kernels of an Integro_Differential Equation from an Initial Pulse

 
53
M. Klaricic Bakula, Z. Pales, and J. Pecaric
On Weighted L_Conjugate Means

 
65
G.A. Kamenskii
Method of Local Variations for Mixed Nonlocal Functionals

 
79
Emerson Vitor Castelani and To Fu Ma
Numerical Solutions for a Second Order Three_Point Boundary Value Problem

 
87
M.S. Kashimoto and M.Z. Nashed
A Note on Factorization of Bounded Linear Operators

 
97
P.S. Simeonov
Oscillation of a Class of Neutral Differential Equations with Deviating Argument Depending On the Unknown Function

 
103
N.T. Markova and P.S. Simeonov
Existence of Nonoscillatory Solutions Tending to Zero at 1 for Differential Equations with Retarded Arguments Depending on the Unknown Function

 
113
S.A. Beisel, L.B. Chubarov, Z.I. Fedotova, and G.S. Khakimzyanov
On the Approaches to a Numerical Modeling of Landslide Mechanism of Tsunami Wave Generation

 
121
K. Choi and Q-H. Choi
Source Terms and Multiplicity of Solutions in a Nonlinear Elliptic Equation

 
143
X. Hou
Variable Structure Control of Infinite Dimensional Systems with Applications

 
155
J. I. Segata and A. Shimomura
Global Existence and Asymptotic Behavior of Solutions to the Fourth Order Nonlinear Schr¨odinger Type Equation

 
169
G. A. Anastassiou
Multivariate Fractional Taylor’s Formula

 
189
G.A. Anastassiou
Fractional Multivariate Opial Type Inequalities over Spherical Shells

 
201
N. T. Markova and P. S. Simeonov
Asymptotic Behavior of Oscillatory Solutions of n-th Order Differential Equations with Deviating Argument Depending on the Unknown Function

|
235
A. Dishliev and N. Markova
Sufficient Conditions for Oscillation of the Solutions of Impulsive Linear Homogeneous Differential Equations with Retarded Argument

 
247
P.S. Simeonov
Fourier Series and Periodic Solutions of Periodic Linear Non-Homogeneous Impulsive Equations

 
255
A.I. Abakumov and E.E. Giricheva
Mathematical Model of Optimum Distribution of Population Incomes

 
269
S. Aizicovici and H. Lee
Existence Results for Nonautonomous Evolution Equations with Nonlocal Initial Conditions

 
285
K. Sbihi and P. Wittbold
Entropy Solution of a Quasilinear Elliptic Problem with Nonlinear Boundary Condition

 
 299
F. Botelho, J.E. Jamison, and J.A. Murdock
Kernels of an Integro-Differential Equation from an Initial Pulse

 
327
Barnabas Bede, T. Gnana Bhaskar, and V. Lakshmikantham
Perspectives of Fuzzy Initial Value Problems

 
339
Tadeusz Jankowski
First_order Impulsive Functional Differential Equations

 
359
Mouffak Benchohra, Juan J. Nieto, and Abdelghani Ouahab
Fuzzy Solutions for Impulsive Differential Equations

 
 379
V. Lakshmikantham and A. S. Vatsala
Theory of Fractional Differential Inequalities and Applications

 
395
Tanya G. Melton and A. S. Vatsala
Higher Order of Convergence via Generalized Quasilinearization Method for Parabolic Integro_differential Equations

 
403
Bashir Ahmad and S. Sivasundaram
Basic Results and Stability Criteria for Set Valued Differential Equations on Time Scales

 
419
Abdelkader Belarbi, Mouffak Benchohra, Samira Hamani, and Sotiris K. Ntouyas
Perturbed Functional Differential Equations With Fractional Order

 
429
Mohamed Abdalla Darwish
On Solvability of Some Quadratic Functional_integral Equation in Banach Algebra

 
441
S. H. Saker
Oscillation Criteria of Hille and Nehari Types For Third_order Delay Differential Equations

 
451
Miroslav Bartusek and John R. Graef
Strong Nonlinear Limit_point/limit_circle Properties for a Class of Fourth Order Equations

 
469
Fazal_Ur_Rehman, Muhammad Mansoor Ahmed, Syed Abdul Moiz
Steering Algorithm for Drift Free Control Systems

 
485
Cemil Tunç
On Asymptotic Stability of Solutions to Third Order Nonlinear Differential Equations with Retarded Argument

 
515
Content
 
529
Author Index
 
533