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Differential Equations and Nonlinear Mechanics : MATHEMATICS AND ITS APPLICATIONS (KLUWER ) - Kuppalapalle Vajravelu

Differential Equations and Nonlinear Mechanics


By: Kuppalapalle Vajravelu (Editor)


Published: December 2009
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The book includes chapters written by well-known mathematicians and engineers. The topics include nonlinear differential equations, nonlinear dynamics, neural networks, modeling and dissipative processes, nonlinear ODE, nonlinear PDE, nonlinear mechanics, and fuzzy differential equations. The chapters are self-contained and contain new results. The book is suitable for anyone interested in pursuing research in the fields mentioned above.

Prefacep. xi
Properties of the Radii of Stability and Instabilityp. 1
Extremal Solutions of Hemivariational Inequalities with D.C.-Superpotentialsp. 11
Degenerate Quasilinear Parabolic Problems With Slow Diffusionsp. 27
Superasymptotic Perturbation Analysis of the Kelvin-Helmholtz Instability of Supersonic Shear Layersp. 31
Solitary Waves with Galilean Invariance in Dispersive Shallow-Water Flowsp. 49
Discrete Dynamical Systems Described by Neutral Equationsp. 69
Oscillation of Third Order Differential Equations With and Without Delayp. 75
Numerical Techniques for Solving a Biharmonic Equation in a Sectorial Regionp. 89
The Seamount on a Sloping Seabed Problemp. 101
Discrete Simulation in Nonlinear Dynamics With Applicationsp. 113
Ergodic Type Solutions of Some Differential Equationsp. 135
Synchronous Solutions of Delayed Neural Networksp. 153
Coherent Structures and Statistical Equilibrium States in a Model of Dispersive Wave Turbulencep. 163
Fuzzy Sets and Fuzzy Differential Equationsp. 183
Numerical Solutions of Coupled Parabolic Systems With Time Delaysp. 201
Global Analysis for the Fluids of a Power-Law Typep. 213
Nonlinear Hyperbolic Partial Differential and Volterra Integral Equations: Analytical and Numerical Approachesp. 235
Kronecker Product Operations of Tensorsp. 249
Global Behavior of Solutions of a Certain Nth Order Differential Equation in the Vicinity of an Irregular Singular Pointp. 265
On the Modelling of Dissipative Processesp. 285
Pathwise Average Cost Per Unit Time Problem for Stochastic Differential Games With a Small Parameterp. 293
Interaction of Surface Radiation With Natural Convectionp. 309
Mathematical Results and Numerical Methods for Steady Incompressible Viscoelastic Fluid Flowsp. 339
Full Conversion in Gas-Solid Reactionsp. 367
New Analysis Procedure in Predicting Rotor Vibrationp. 373
Equivalent Conditions for Disconjugacy in Self-Adjoint Systemsp. 385
Some Results on Reaction Diffusion Equations With Initial Time Differencep. 391
Dynamics of Neural Networks With Delay: Attractors and Content-Addressable Memoryp. 401
Invariant Sets and Global Attractor of a Class of Partial Differential Equationsp. 419
Indexp. 431
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780792368670
ISBN-10: 0792368673
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 436
Published: December 2009
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 24.13 x 16.51  x 2.54
Weight (kg): 0.98