Impulsive Differential Inclusions A Fixed Point Approach

• Main Authors: Graef, John R, Henderson, Johnny, Ouahab, Abdelghani
• Format: eBook Book
• Language: English
• Published: Germany De Gruyter 2013; Walter de Gruyter GmbH
• Edition: 1
• Series: De Gruyter Series in Nonlinear Analysis and Applications
• Subjects: Boundary Value Problem; Boundary value problems; Condensing; Contraction; Controllability; Differential equations; Differential Inclusion; Differential inclusions; Filippov's Theorem; Fixed point methods; Hyperbolic Differential Inclusion; Impulsive equations; Impulsive Functional Differential Equation; Infinite Delay; MATHEMATICS; Mathematics. Analysis; MATHEMATICS / Differential Equations / General; Normal Cone; Prediction theory; Relaxation; Seeping Process; Stability; Stochastic Differential Equation; Stochastic processes; Variable Times; Viable Solution; Stability; Condensing; Seeping Process; Differential Inclusion; Contraction; Infinite Delay; Filippov's Theorem; Hyperbolic Differential Inclusion; Relaxation; Viable Solution; Variable Times; Normal Cone; Controllability; Boundary Value Problem; Impulsive Functional Differential Equation; Stochastic Differential Equation

Differential equations with impulses arise as models of many evolving processes that are subject to abrupt changes, such as shocks, harvesting, and natural disasters. These phenomena involve short-term perturbations from continuous and smooth dynamics, whose duration is negligible in comparison with...