Theory of Fuzzy Differential Equations and Inclusions

List of contents

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.

About the author

Lakshmikantham, V.; Mohapatra, Ram N.

Product details

• Authors: V. Lakshmikantham, V. (Florida Institute of Technolog Lakshmikantham, Ram N Mohapatra, Mohapatra Ram N.
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Paperback / Softback
• Released: 11.09.2019
• EAN: 9780367395322
• ISBN: 978-0-367-39532-2
• No. of pages: 188
• Series: Mathematical Analysis and Applications
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / General, MATHEMATICS / Applied, MATHEMATICS / Differential Equations / General, MATHEMATICS / Set Theory, Discrete Mathematics, Differential calculus & equations, Applied mathematics, Differential calculus and equations, Set theory