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. Acosta-Humanez |
35 |
| Controlled Differential Equations
for Solving Two-person Nonzero-sum 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 Yong-zhuo 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 |
| Multiple-period-doubling
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 |
| Blow-Up and Quenching of
Solutions due to a concentrated Nonlinear Source C. Y. Chan |
121 |
| Blow-Up of Solutions for
Degenerate Semilinear Parabolic First Initial-Boundary 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 Dark-adapted Retinal
Rod Photoreceptors H. Khanal, V. Alexiades, and E. Dibenedetto |
138 |
| Conditions on the Motion of a
Heat Source that guarantee a Blow-up Solution of the Two-dimensional 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
Thomas-Fermi Model Using Radial Basis Functions S. M. Wong and Y. C. Hon |
175 |
| Contraction Mapping and Stability
in a Delay-differential 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 Esquivel-Avila |
198 |
| Universal Contingent Claims in a
General Market Environment and Multiplicative Measures Valery A. Kholodnyi |
206 |
| On the Nonlinear Bi-harmonic
Parabolic Equation with Data in Lp Spaces Tor A. Kwembe |
213 |
| Estimates for Solutions to
Optimization Problems on Elliptic Equations Fabrizio Cuccu, Monica Marras, and Giovanni Porru |
220 |
| Quantum Super Yang-mills
Equations: Global Existence and Mass-gap Agostino Prastaro |
227 |
| Resonance Problems for Hardy-Sobolev
Operator with Indefinite Weights V. Raghavendra and K. Sreenadh |
233 |
| Thin Layers for the Landau-Lifschitz
Equation David Sanchez |
239 |
| Applications of "Best Possible"
Maximum Principles to Parabolic Problems in Non-convex 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 Second-order 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 - 2Qn — Creating a
New Primality Test John H. Jaroma |
351 |
| On the Discrete Model of West
Nile-like Epidemics Tehara Darensburg and Vlajko L. Kocic |
358 |
| Stability Zones and Parametric
Resonance for Discrete-time 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
integro-differential equations P.C.DAS |
387 |
| Solutions of discrete equations
with prescribed asymptotic behavior Josef Diblik, Denys Khusainov, and Irena Ruzickova |
395 |
| A discrete,
hierarchically-structured 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 Non-Resonant Multi-Point
Boundary Value Problem of Neumann-Dirichelet type for a p-Laplacian 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 Second-order 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 Age-structured Population with Intra-species 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 Two-step 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 Hyperbolic-parabolic 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
Quasi-stationary 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 Hei-chi 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 |
| Kelvin-Helmholtz Instability
Waves in Supersonic Multiple Rectangular Jets with Large Ratio Joshua Z.Du |
607 |
| On the Asymptotic Behavior of the
Solutions of Parameter-dependent 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 Mckendrick-von
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 |
| Gravito-Radiative 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 |