Proceedings of
Dynamic Systems and
Application
Volume 4
CONTENTS
Preface 

Dynamic Systems and Control 

Optimal Control of
Systems Governed by Impulsive Differential Inclusions N.U.Ahmed 
1 
Optimal Control of
Gantry Cranes for Minimum Payload Oscillations Saroj K. Biswas 
12 
Weighted Polynomial
Approximation and Hilbert Transforms: Their Connections to the Numerical Solution of Singular Integral Equations S.B. Damelin and K. Diethelm 
20 
White Noise
Perturbation in a Model Equation for the Viscoelastic Response of Rubber in Tensile Deformation N. Begashaw, N. G. Medhin, and M. Sambandham 
27 
Dynamical Systems and Applications 

An Application of Functional
Analysis in a Predator  Prey System Primitivo B. AcostaHumanez 
35 
Controlled Differential Equations
for Solving Twoperson Nonzerosum Games With Coupled Constraints Anatoly S. Antipin 
39 
Quasiperiodic Flows and Algebraic
Number Fields Lennard F. Bakker 
46 
New Sufficient Conditions for
Global Stability of a Basic Model Describing Population Growth in a Polluted Environment Bruno Buonomo and Deborah Lacitignola 
53 
Fixed Points and Coincidence
Points of Discontinuous Monotone Operators Yongzhuo Chen 
58 
Nonlinear Integral Transforms and
Dynamical Systems on Hilbert Spaces Agnieszka Kozak and Yuri Kozitsky 
63 
Polynomial Models of Discrete
Time Series over Finite Fields Aihua Li 
68 
Optimal Control Problems Arising
in Marketing Models Luigi De Cesare and Andrea Di Liddo 
74 
Multipleperioddoubling
Bifurcation Route to Chaos in Periodically Pulsed Chaotic Oscillators
S. Parthasarathy and K.Srinivasan 
80 
Homoclinic orbits and bifurcation
of entropy_carrying hit_sets Steven M. Pederson 
87 
The least vulnerable, the most
successful and other such extremes Bruce J. West 
95 
A Geometric Approach to the
Legendre Transformation Enrico Pagani 
102 
Partial Differential Equations and
Applications 

On a Nonlocal Hyperbolic Model
Arising from a Reliability System Azmy S. Ackleh, and Keng Deng 
113 
BlowUp and Quenching of
Solutions due to a concentrated Nonlinear Source C. Y. Chan 
121 
BlowUp of Solutions for
Degenerate Semilinear Parabolic First InitialBoundary Value Problems C. Y. Chan and W. Y. Chan 
127 
The Localization of Shear Bands
via the Maximum Principle C. O. Horgan and W. E. Olmstead 
133 
Response of Darkadapted Retinal
Rod Photoreceptors H. Khanal, V. Alexiades, and E. Dibenedetto 
138 
Conditions on the Motion of a
Heat Source that guarantee a Blowup Solution of the Twodimensional Heat Equation C. M. Kirk and W. E. Olmstead 
146 
Analysis of Conservative
Difference Schemes for Materials with Memory Peter Matus and Roderick V.n. Melnik 
153 
A Nonstandard Problem for the
Heat Equation Philip W. Schaefer 
161 
Diffusional Release of a
Dispersed Solute from a Polymeric Matrix: Approximation of the Exact Solutions Using Finite Region Continuity S. Wasuwanich, N. Jinuntuya, P. Petpirom, and R. Collins 
167 
Numerical Approximations for
ThomasFermi Model Using Radial Basis Functions S. M. Wong and Y. C. Hon 
175 
Contraction Mapping and Stability
in a Delaydifferential Equation Bo Zhang 
183 
On Maximum Principle and
Existence of Positive Solutions for Elliptic Systems A.Yechoui 
191 
The Dynamics Around the Ground
State of the Timoshenko Equation with a Source Term Jorge Alfredo EsquivelAvila 
198 
Universal Contingent Claims in a
General Market Environment and Multiplicative Measures Valery A. Kholodnyi 
206 
On the Nonlinear Biharmonic
Parabolic Equation with Data in L^{p} Spaces Tor A. Kwembe 
213 
Estimates for Solutions to
Optimization Problems on Elliptic Equations Fabrizio Cuccu, Monica Marras, and Giovanni Porru 
220 
Quantum Super Yangmills
Equations: Global Existence and Massgap Agostino Prastaro 
227 
Resonance Problems for HardySobolev
Operator with Indefinite Weights V. Raghavendra and K. Sreenadh 
233 
Thin Layers for the LandauLifschitz
Equation David Sanchez 
239 
Applications of "Best Possible"
Maximum Principles to Parabolic Problems in Nonconvex Domains Stella Vernier Piro 
245 
On Solutions of Hyperbolic
Equations with Damping and Source Terms Jianmin Zhu 
250 
Differential Equations and Applications


Retarded and mixed Neutral
Differential Equations with Continuous Delay Tuncay Candan and R.S. Dahiya 
261 
Approximating Limit Cycles of a
Van der Pol Equation with Delay David E. Gilsinn 
270 
Stability of Linear Periodic
Differential Delay Equations Ying Sue Huang 
277 
New Matrix Method for Analytical
Solution of Linear Ordinary Differential Equations Sina Khorasani and Ali Adibi 
283 
Implicit Compact Scheme for
Harmonic Oscillator Equation with Coulomb Friction James L. Thompson and Chaoqun Liu 
291 
Limit Cycles of Lienard Systems Makhlouf Amar and Badi Sabrina 
297 
A Perturbation Method for Truly
Nonlinear Oscillator Differential Equations Ronald E. Mickens and Sandra A. Rucker 
302 
Asymptotic Behavior of
Nonoscillatory Solutions Of Secondorder Nonlinear Differential Equations Octavian G. Mustafa and Yuri V. Rogovchenko 
312 
Fucik’s Spectrum in Models of
Suspension Bridges Petr Ne¡cesal 
320 
Controlling the Bone Marrow
Dynamics in Cancer Chemotherapy Urszula Ledzewicz and Heinz Schattler 
328 
Stability Criteria for Certain
Third Order Delay Differential Equations Baruch Cahlon and Darrell Schmidt 
336 
Asymptotic Stability of a
Mechanical Robotics Model with Damping and Delay Baruch Cahlon and Darrell Schmidt 
343 
A Number Theoretic Application of
X_{ n+1} = X _{n} ^{2}  2Q^{n }— Creating a
New Primality Test John H. Jaroma 
351 
On the Discrete Model of West
Nilelike Epidemics Tehara Darensburg and Vlajko L. Kocic 
358 
Stability Zones and Parametric
Resonance for Discretetime Hamiltonian Systems Vladimir R Asvan 
367 
Stability Theory Methods in
Singularly Perturbed Systems Dynamics Lyudmila K.Kuzmina 
374 
Difference Equations and Applications


Basic theory of a class of linear
integrodifferential equations P.C.DAS 
387 
Solutions of discrete equations
with prescribed asymptotic behavior Josef Diblik, Denys Khusainov, and Irena Ruzickova 
395 
A discrete,
hierarchicallystructured population model S. R.J. Jang 
403 
Strong Approximation of
Reflecting Brownian Motion Using Penalty Method and its Approximation K.
Inoue and S. Kanagawa 
409 
Aizerman’s Conjecture for
Difference Equations Rigoberto Medina and Michael I.Gil 
415 
On Periodic Dynamic Equations on
Measure Chains Christian Potzsche 
422 
Boundary Value Problem and Applications


Positive Solutions of a Three
Point Boundary Value Problem for Nonlinear Differential Equations John R. Graef, Chuanxi Qian, and Bo Yang 
431 
A NonResonant MultiPoint
Boundary Value Problem of NeumannDirichelet type for a pLaplacian type operator Chaitan P. Gupta 
439 
On a Final Value Problem
Connected with the B_S Model H.C. Jimbo 
443 
Coercive Boundary Value Problems
for Regular Degenerate Equations Veli B. Shakhmurov 
452 
Geodesic Connectedness in Plane
Fronted Waves. A Variational Approach A.M. Candela, J. L. Flores, and M. Sanchez 
458 
A Class of Nonlinear Boundary
Value Problems of Secondorder Ordinary Differential Equations Lingju
Kong and Qingkai Kong 
465 
Multiple Radial Solutions for a
Superlinear Elliptic Problem in R ^{N} A. Salvatore 
472 
Integral Equations and Applications 

Qualitative Analysis of Integral
Dynamic Model of Agestructured Population with Intraspecies Competition Natali Hritonenko 
483 
Subexponential Solutions of
Linear Integro  Differential Equations J. A. D. Appleby and D. W. Reynolds 
488 
Integral Equations of Dynamic
Systems with Controllable Memory Yuri Yatsenko 
495 
Solving Strongly Singular
Integral Equations Johan H. De Klerk 
501 
Existence and Uniqueness of
Semimonotone Nonlinear Stochastic Integral Equations Hamideh D. Hamedani 
509 
Computational Methods and Applications 

Computer Simulation and Modeling
of Multistage Carcinogenesis Mutations Reza Ahangar 
519 
On the Twostep a High Order of
Accuracy Difference Schemes for the Second Order Differential Equations Allaberen Ashyralyev and Pavel E. Sobolevskii 
528 
Davenport Numbers & Generating
Functions over Finite Abelian Groups Chuang Peng 
535 
One Approach to Construction of
Bilateral Approximations Methods for Solution of Nonlinear Equations B. M. Podlevskyi 
542 
Error, Confidence, and Cost in
Engineering Computations S. K. Sen 
548 
A Note on the Second Order of
Accuracy Difference Schemes for Hyperbolicparabolic Equations in a Hilbert Space Allaberen Ashyralyev and Hasan A. Yurtsever 
556 
Hexahedral Mesh Generation Using
Isoparametric Smoothing T. S. Li 
563 
Applied Mathematics 

Equations of Interface Dynamics For
Quasistationary Stefan Problem R. Andrushkiw, V. Gafiychuk, A. Shnyr, and R. Zabrodsky 
571 
Impulsive Modelling in Neurophysiology S. A. Belbas and Sunghee Kim 
581 
Gauss Map and its Applications Heichi Chan 
586 
On a Class of Stationary
Nonlinear Processes: a Review Kamal C. Chanda 
592 
Spatial Analysis of Cumulative
Voting with Modeling for Dynamical System Simulation Duane A. Cooper 
596 
The Variable Mass Schroedinger
Equation Daniel Bessis and Andrei Mezincescu 
602 
KelvinHelmholtz Instability
Waves in Supersonic Multiple Rectangular Jets with Large Ratio Joshua Z.Du 
607 
On the Asymptotic Behavior of the
Solutions of Parameterdependent Matrix Riccati Differential Equations with Respect to the Parameter Gerhard Freiling and Andreas Hochhaus 
613 
Computation and Stability of the
Implied Volatility H.C. Jimbo , A.F. Djouguela , I. Ngongo 
620 
On the Convection Flow past an Accelerated
Vertical Permeable Plate M. R. Karim 
629 
What does Quantum Chaos mean?
D. Huard, H. Kroger, G. Melkonyan, K.J.M. Moriarty, and L.P. Nadeau 
640 
Diffusion in the Mckendrickvon
Foerster Equation R. Dilao and A. Lakmeche 
647 
Two Applications of Quantum
Memory Wafik A. Wassef 
654 
Transmitted wave in a poroelastic
medium and its application in evaluation of osteoporosis Yongzhi Xu 
662 
GravitoRadiative Force and the
Spiral Galaxy Masataka Mizushima 
670 
Hamiltonian Torus Bifurcations
Related to Simple Singularities Heinz Hansmann 
679 
Modeling and stability analysis
for a class of dynamical systems with switching inputs Zvi Retchkiman Konigsberg 
686 
Author Index 