Theory of Fuzzy Differential Equations and Inclusions (Hardcover)

Contents:
1. Fuzzy Sets 1.1 Introduction 1.2 Fuzzy Sets 1.3 The Hausdirfi Metric 1.4 Support Functions 1.5 The Space E^Tn 1.6 The Metric Space (En; d) 1.7 Notes and Comments 2. Calculations of Fuzzy Functions 2.1 Introduction 2.2 Convergence of Fuzzy Sets 2.3 Measurability 2.4 Integrability 2.5 Differentiability 2.6 Notes and Comments 3. Fundamental Theory 3.1 Introduction 3.2 Initial Value Problem 3.3 Existence 3.4 Comparision Theorems 3.5 Convergence of Successive Approximations 3.6 Continuous Dependence 3.7 Global Existence 3.8 Approximate Solutions 3.9 Stability Criteria 3.10 Notes and Comments 4. Lyapunov-like Functions 4.1 Introduction 4.2 Lyapunov Like Functions 4.3 Stability Criteria 4.4 Nonuniform Stability Criteria 4.5 Criteria for Boundedness 4.6 Fuzzy Differential Systems 4.7 The Method of Vector Lyapunov Functions 4.8 Linear Variation of Parameters Formula 4.9 Notes and Comments 5. Miscellaneous Topics 5.1 Introduction 5..2 Fuzzy Difference Equations 5.3 Impulsive Fuzzy Differential Equations 5.4 Fuzzy DEs with Delay 5.5 Hybrid Fuzzy Differential Equations 5.6 Fixed Points of Fuzzy Mappings 5.7 Boundary Value Problem 5.8 Fuzzy Equations of Volterra Type 5.9 A New Concept of Stability 5.10 Notes and Comments 6. Fuzzy Differential Inclusions 6.1 Introduction 6.2 Fornulation of FDIs 6.3 Differential Inclusions 6.4 Fuzzy Differential Inclusions 6.5 Variation of Constants Formula 6.6 Fuzzy Voltera Integral Equations 6.7 Notes and Comments Bibliography