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.