Bookcover of Existence and stability of solutions to nonlinear dynamical systems
Booktitle:

Existence and stability of solutions to nonlinear dynamical systems

LAP LAMBERT Academic Publishing (2013-01-06 )

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ISBN-13:

978-3-659-31848-1

ISBN-10:
3659318485
EAN:
9783659318481
Book language:
English
Blurb/Shorttext:
This book is an outgrowth of our results on the existence and stability of solutions to nonlinear dynamical systems, stochastic systems, and impulsive systems over the last five years. In particular, we present the Razumikhin-type exponential stability criteria for impulsive stochastic functional differential systems, the stability analysis of neutral stochastic delay differential equations by a generalization of Banachs contraction principle and the globally asymptotical stability in the mean square for stochastic neural networks with time-varying delays and fixed moments of impulsive effect. Also, we discuss oscillation criteria based on a new weighted function for linear matrix Hamiltonian systems and the existences of the positive solutions or nontrivial solutions of nonlinear differential equations.
Publishing house:
LAP LAMBERT Academic Publishing
Website:
https://www.lap-publishing.com/
By (author) :
Yingxin Guo
Number of pages:
160
Published on:
2013-01-06
Stock:
Available
Category:
Mathematics
Price:
59.00 €
Keywords:
stochastic, Stability, Neural Networks, Impulse, Lyapunov functionals, Matrix inequality, Nonlinear differential equations

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