Generalized Metric Spaces and Networks and Differential Equations

This book contains various theories of metrizability and generalized metric spaces in terms of g- function. Several applications to existence theorems in the theories of LF -netted spaces are given. Also discussed are networks: global asymptotic stability and exponential Stability whose are proved in those cases where stochastic recurrent neural networks with distributed delays and time-varying delays conditions are required. Finally, a discussion of special class of nonlinear differential equations where the existences of the positive solutions or nontrivial solutions, nontrivial periodic solutions can be obtained is given.

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.