Differential Equations and Dynamical Systems

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Alpha Science Int'l Ltd., 2005 - Mathematics - 227 pages
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Differential Equations and Dynamical Systems in fifteen chapters from eminent researchers working in the area of differential equations and dynamical systems covers wavelets and their applications, Markovian structural perturbations, conservation laws and their applications, retarded functional differential equations and applications to problems in population dynamics, finite element method and its application to extended Fisher-Kolmogorv equation, generalized K-dV equation, Faedo-Galerkin approximations of solutions to evolution equations, the method of semidiscretization in time and its applications to nonlinear evolution equations, spectral methods, Tikhonov regularization of partial differential equations, mathematical modeling and second order evolution equations.
 

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Contents

Wavelets and Some Applications
1
Trends in Wavelet Methods for Two Point Boundary Value Prob
15
Stability and Convergence of LargeScale Stochastic Approxima
25
Global Correctness Classes of Functional Solutions for Conserva
49
A Nonlinear GasLiquid System in Sliding Motion
69
On Certain Exact Solutions of a Generalized KdVBurger Type
91
Method of Semidiscretization in Time to Nonlinear Retarded Dif
107
Retarded Differential Equations with Applications to Population
119
Spectral Methods as LeastSquares Problems
127
Finite Element Method for Extended FisherKolmogorov EFK
149
Spectral Regularization of a Singularly Perturbed Elliptic Partial
169
Second Order Semilinear Evolution Equations
179
Model for the Effect of Degrading Habitat on the Persistence
205
Schwarzian Derivative of Critically Finite Meromorphic Functions
213
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