Generalized Metric Spaces and Networks and Differential Equations - Guo, Yingxin
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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.…mehr

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Produktbeschreibung
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.
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Autorenporträt
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.