Differential Equations and Nonlinear Mechanics

ISBN-13: 9781461379744 / Angielski / Miękka / 2011 / 436 str.

Kuppalapalle Vajravelu

Opis

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.

Spis treści

Preface. 1. Properties of the Radii of Stability and Instability; P. Anderson, S.R. Bernfeld. 2. Extremal Solutions of Hemivariational Inequalities with D.C.-Superpotentials; S. Carl. 3. Degenerate Quasilinear Parabolic Problems With Slow Diffusions; C.Y. Chan, W.Y. Chan. 4. Superasymptotic Perturbation Analysis of the Kelvin-Helmholtz Instability of Supersonic Shear Layers; S.R. Choudhury. 5. Solitary Waves with Galilean Invariance in Dispersive Shallow-Water Flows; C.I. Christov. 6. Discrete Dynamical Systems Described by Neutral Equations; C. Corduneanu. 7. Oscillation of Third Order Differential Equations With and Without Delay; R.S. Dahiya. 8. Numerical Techniques for Solving a Biharmonic Equation in a Sectorial Region; E. Deeba, et al. 9. The Seamount on a Sloping Seabed Problem; R.P. Gilbert, et al. 10. Discrete Simulation in Nonlinear Dynamics With Applications; D. Greenspan. 11. Ergodic Type Solutions of Some Differential Equations; J. Hong, R. Obaya. 12. Synchronous Solutions of Delayed Neural Networks; Y.S. Huang. 13. Coherent Structures and Statistical Equilibrium States in a Model of Dispersive Wave Turbulence; R. Jordan, C. Josserand. 14. Fuzzy Sets and Fuzzy Differential Equations; V. Lakshmikantham, R.N. Mohapatra. 15. Numerical Solutions of Coupled Parabolic Systems With Time Delays; X. Lu. 16. Global Analysis for the Fluids of a Power-Law Type; J. Málek. 17. Nonlinear Hyperbolic Partial Differential and Volterra Integral Equations: Analyticaland Numerical Approaches; R.G. Marshall, S.G. Pandit. 18. Kronecker Product Operations of Tensors; D.W. Nicholson. 19. Global Behavior of Solutions of a Certain Nth Order Differential Equation in the Vicinity of an Irregular Singular Point; T.K. Puttaswamy. 20. On the Modelling of Dissipative Processes; K.R. Rajagopal. 21. Pathwise Average Cost Per Unit Time Problem for Stochastic Differential Games with a Small Parameter; K.M. Ramachandran, A.N.V. Rao. 22. Interaction of Surface Radiation With Natural Convection; N. Ramesh, et al. 23. Mathematical Results and Numerical Methods for Steady Incompressible Viscoelastic Fluid Flows; A. Sequeira, J.H. Videman. 24. Full Conversion in Gas-Solid Reactions; I. Stakgold. 25. New Analysis Procedure in Predicting Rotor Vibration; R. Subbiah. 26. Equivalent Conditions for Disconjugacy in Self-Adjoint Systems; B. Travis, R. Navarro. 27. Some Results on Reaction Diffusion Equations With Initial Time Difference; A.S. Vatsala. 28. Dynamics of Neural Networks With Delay: Attractors and Content-Addressable Memory; J. Wu. 29. Invariant Sets and Global Attractor of a Class of Partial Differential Equations; D. Xu, Q. Guo. Index.