Description
Theory of Fuzzy Differential Equations and Inclusions
Mathematical Analysis and Applications Series
Authors: Lakshmikantham V., Mohapatra Ram N.
Language: EnglishSubjects for Theory of Fuzzy Differential Equations and Inclusions:
74.82 €
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Theory of Fuzzy Differential Equations and Inclusions
Publication date: 09-2019
· 17.8x25.4 cm · Paperback
Publication date: 09-2019
· 17.8x25.4 cm · Paperback
142.05 €
Subject to availability at the publisher.
Add to cart the book of Lakshmikantham V., Mohapatra Ram N.
Theory of fuzzy differential equations & inclusions (Series in mathematical analysis & applications)
Publication date: 03-2003
184 p. · 17.8x25.4 cm · Hardback
Publication date: 03-2003
184 p. · 17.8x25.4 cm · Hardback
Description
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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.
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.
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Lakshmikantham, V.; Mohapatra, Ram N.
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