Line integrals and Green's formula on time scales
type: Item
instance of: scholarly article
title: Line integrals and Green's formula on time scales
zbMATH Open document ID: 1118.26009
published in: Journal of Mathematical Analysis and Applications
publication date: 2007-02-14T00:00:00Z
review text: The authors introduce the concept of a curve parametrized by a time scale parameter and give integral formulas for computation of its length. They also define line delta and nabla integrals of the first and second types on time scales and give sufficient conditions for the existence of these integrals and offer formulas for their evaluation. Finally, they establish a version of the classical Green formula suitable to time scales.
Mathematics Subject Classification ID: 26A42
Mathematics Subject Classification ID: 39A12
zbMATH DE Number: 5125959
zbMATH Keywords: time scale curves
zbMATH Keywords: line delta and nabla integrals
author: Martin Bohner
author: Gusein Sh. Guseinov
reviewed by: Octavian Lipovan
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.03.040
OpenAlex ID: W2156091535
cites work: Q5751214
cites work: Q4462026
cites work: Q4672816
cites work: Q3374238
cites work: Multiple Lebesgue integration on time scales
cites work: Q2723195
cites work: Q4797834
cites work: Q4798682
cites work: Integration on time scales.
cites work: Basics of Riemann Delta and Nabla Integration on Time Scales
cites work: Analysis on measure chains - a unified approach to continuous and discrete calculus
DOI: 10.1016/J.JMAA.2006.03.040
Recommended article: Q4534260
Recommended article: Q4462023
Recommended article: Time dependent linear transport via green's functions
Recommended article: Green's functions and eigenvalue comparisons for a focal problem on time scales
Recommended article: Q3076725
Recommended article: Integral equations on time scales
Recommended article: Approximate Green's functions and the solution of related integral equations
Recommended article: Green's formula for integro-differential operators
Recommended article: GREEN FUNCTIONS AND NONLINEAR SYSTEMS: SHORT TIME EXPANSION
Recommended article: Q3345117
description: scientific article; zbMATH DE number 5125959