Theory of Fuzzy Differential Equations and Inclusions
1st Edition
Published on 20. March 2003
Book
Hardback
190 pages
978-0-415-30073-5 (ISBN)
Description
Fuzzy differential functions are applicable to real-world problems in engineering, computer science, and social science. That relevance makes for rapid development of new ideas and theories. This volume is a timely introduction to the subject that describes the current state of the theory of fuzzy differential equations and inclusions and provides a systematic account of recent developments. The chapters are presented in a clear and logical way and include the preliminary material for fuzzy set theory; a description of calculus for fuzzy functions, an investigation of the basic theory of fuzzy differential equations, and an introduction to fuzzy differential inclusions.
More details
Series
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
Professional and scholarly
Professional
Dimensions
Height: 260 mm
Width: 183 mm
Thickness: 15 mm
Weight
563 gr
ISBN-13
978-0-415-30073-5 (9780415300735)
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Schweitzer Classification
Other editions
Additional editions
V. Lakshmikantham | Ram N. Mohapatra
Theory of Fuzzy Differential Equations and Inclusions
Book
09/2019
1st Edition
CRC Press
€93.80
Shipment within 15-20 days
Persons
Lakshmikantham\, V.; Mohapatra\, Ram N.
Content
Fuzzy Sets. The Hausdirfi Metric. Support Functions. The Space E^Tn. The Metric Space. Calculations of Fuzzy Functions. Convergence of Fuzzy Sets. Measurability. Integrability. Differentiability. Fundamental Theory. Initial Value Problem. Existence. Comparison Theorems. Convergence of Successive Approximations. Continuous Dependence. Global Existence. Approximate Solutions. Stability Criteria. Lyapunov-like Functions. Nonuniform Stability Criteria. Criteria for Boundedness. Fuzzy Differential Systems. The Method of Vector Lyapunov Functions. Linear Variation of Parameters Formula. Fuzzy Difference Equations. Impulsive Fuzzy Differential Equations. Fuzzy DEs with Delay. Hybrid Fuzzy Differential Equations. Fixed Points of Fuzzy Mappings. Boundary Value Problem. Fuzzy Equations of Volterra Type. A New Concept of Stability. Fuzzy Differential Inclusions. Formulation of FDIs. Differential Inclusions. Variation of Constants Formula. Fuzzy Volterra Integral Equations. Bibliography.