Existence and stability of solutions to nonlinear dynamical systems

ISBN-13: 9783659318481 / Angielski / Miękka / 2013 / 160 str.

Guo Yingxin

Opis

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.

O autorze

Yingxin GUO was born in China in 1969. Since 2004, he has been a teacher and reseacher of department of mathematics at Qufu Normal University. He has worked on problems in general topology, networks and nonlinear differential equations.