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Differential Equations and Nonlinear Mechanics

  • Book
  • © 2001

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Editors:
  1. K. Vajravelu

    1. University of Central Florida, USA

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Part of the book series: Mathematics and Its Applications (MAIA, volume 528)

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Table of contents (29 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Properties of the Radii of Stability and Instability

    • Patricia Anderson, Stephen R. Bernfeld
    Pages 1-9

  3. Extremal Solutions of Hemivariational Inequalities with D.C.-Superpotentials

    • Siegfried Carl
    Pages 11-25

  4. Degenerate Quasilinear Parabolic Problems with Slow Diffusions

    • C. Y. Chan, W. Y. Chan
    Pages 27-30

  5. Superasymptotic Perturbation Analysis of the Kelvin-Helmholtz Instability of Supersonic Shear Layers

    • S. Roy Choudhury
    Pages 31-48

  6. Solitary Waves with Galilean Invariance in Dispersive Shallow-Water Flows

    • C. I. Christov
    Pages 49-68

  7. Discrete Dynamical Systems Described by Neutral Equations

    • Constantin Corduneanu
    Pages 69-74

  8. Oscillation of Third Order Differential Equations with and without Delay

    • R. S. Dahiya
    Pages 75-87

  9. Numerical Techniques for Solving a Biharmonic Equation in a Sectorial Region

    • Elias Deeba, Suheil A. Khuri, Shishen Xie
    Pages 89-100

  10. The Seamount on a Sloping Seabed Problem

    • Robert P. Gilbert, Miao Ou, Yongzhi S. Xu
    Pages 101-112

  11. Discrete Simulation in Nonlinear Dynamics with Applications

    • Donald Greenspan
    Pages 113-134

  12. Ergodic Type Solutions of Some Differential Equations

    • Jialin Hong, Rafael Obaya
    Pages 135-152

  13. Synchronous Solutions of Delayed Neural Networks

    • Ying Sue Huang
    Pages 153-161

  14. Coherent Structures and Statistical Equilibrium States in a Model of Dispersive Wave Turbulence

    • Richard Jordan, Christophe Josserand
    Pages 163-182

  15. Fuzzy Sets and Fuzzy Differential Equations

    • V. Lakshmikantham, Ram N. Mohapatra
    Pages 183-199

  16. Numerical Solutions of Coupled Parabolic Systems with Time Delays

    • Xin Lu
    Pages 201-211

  17. Global Analysis for the Fluids of a Power-Law Type

    • Josef Málek
    Pages 213-233

  18. Nonlinear Hyperbolic Partial Differential and Volterra Integral Equations: Analytical and Numerical Approaches

    • Roger G. Marshall, Sudhakar G. Pandit
    Pages 235-248

  19. Kronecker Product Operations on Tensors

    • David W. Nicholson
    Pages 249-263

  20. Global Behavior of Solutions of a Certain Nth Order Differential Equation in the Vicinity of an Irregular Singular Point

    • T. K. Puttaswamy
    Pages 265-281
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About this book

The International Conference on Differential Equations and Nonlinear Mechanics was hosted by the University of Central Florida in Orlando from March 17-19, 1999. One of the conference days was dedicated to Professor V. Lakshmikantham in th honor of his 75 birthday. 50 well established professionals (in differential equations, nonlinear analysis, numerical analysis, and nonlinear mechanics) attended the conference from 13 countries. Twelve of the attendees delivered hour long invited talks and remaining thirty-eight presented invited forty-five minute talks. In each of these talks, the focus was on the recent developments in differential equations and nonlinear mechanics and their applications. This book consists of 29 papers based on the invited lectures, and I believe that it provides a good selection of advanced topics of current interest in differential equations and nonlinear mechanics. I am indebted to the Department of Mathematics, College of Arts and Sciences, Department of Mechanical, Materials and Aerospace Engineering, and the Office of International Studies (of the University of Central Florida) for the financial support of the conference. Also, to the Mathematics Department of the University of Central Florida for providing secretarial and administrative assistance. I would like to thank the members of the local organizing committee, Jeanne Blank, Jackie Callahan, John Cannon, Holly Carley, Brad Pyle, Pete Rautenstrauch, and June Wingler for their assistance. Thanks are also due to the conference organizing committee, F. H. Busse, J. R. Cannon, V. Girault, R. H. J. Grimshaw, P. N. Kaloni, V.

Editors and Affiliations

  • University of Central Florida, USA

    K. Vajravelu

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