Differentiability of multivalued functions on time scales and applications to multivalued dynamic equations
type: Item
instance of: scholarly article
title: Differentiability of multivalued functions on time scales and applications to multivalued dynamic equations
zbMATH Open document ID: 1172.26327
author: Shihuang Hong
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2009-07-10T00:00:00Z
review text: A new theory of multivalued dynamic equations is developed by extending of known set valued differential equations onto time scale. A new derivative of set valued functions on time scale is introduced and applied to the study of the set valued dynamic systems. It is called Hukuhara-Hilger derivative. The properties of this derivative is explored which provides the necessary background for further consideration. An example of multivalued dynamic equation is proposed and discussed.
reviewed by: Sergei V. Rogosin
Mathematics Subject Classification ID: 26E25
Mathematics Subject Classification ID: 49J53
zbMATH DE Number: 5577432
zbMATH Keywords: multivalued function
zbMATH Keywords: Hukuhara-Hilger derivative
zbMATH Keywords: time scales
zbMATH Keywords: multivalued dynamic equations
MaRDI profile type: Publication
full work available at URL: j.na.2009.02.023
OpenAlex ID: W2014650068
cites work: The monotone iterative technique for impulsive hybrid set valued integro-differential equations
cites work: Dynamics and stability of impulsive hybrid set-valued integro-differential equations with delay
cites work: Set valued functions in Fréchet spaces: continuity, Hukuhara differentiability and applications to set differential equations
cites work: Nonlinear variation of parameters formula for set differential equations in a metric space
cites work: Q4820493
cites work: Set Differential Equations and Flow Invariance
cites work: Stability criteria for set differential equations
cites work: Q4520889
cites work: Set differential equations versus fuzzy differential equations
cites work: Interconnection between set and fuzzy differential equations
cites work: Analysis on measure chains - a unified approach to continuous and discrete calculus
cites work: Inequalities on time scales: a survey
cites work: Q4716262
cites work: On Lyapunov inequality in stability theory for Hill's equation on time scales
cites work: Nonlinear boundary value problems on time scales
cites work: On Green's functions and positive solutions for boundary value problems on time scales
cites work: Q3150264
cites work: Q4444819
cites work: Double positive solutions of three-point boundary value problems for \(p\)-Laplacian dynamic equations on time scales
cites work: Triple positive solutions of three-point boundary value problems for \(p\)-Laplacian dynamic equations on time scales
cites work: Periodic boundary value problems for first-order impulsive dynamic equations on time scales
cites work: First order dynamic inclusions on time scales
cites work: Existence results for second-order dynamic inclusion with \(m\)-point boundary value conditions on time scales
cites work: Q5537993
cites work: Q5543500
cites work: Multi-valued operators and fixed point theorems in Banach algebras. I
cites work: Q5612008
DOI: 10.1016/J.NA.2009.02.023
description: scientific article; zbMATH DE number 5577432