Double Integral Calculus of Variations on Time Scales
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Date
2007
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Pergamon-elsevier Science Ltd
Open Access Color
HYBRID
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
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Impulse
Top 10%
Influence
Top 1%
Popularity
Top 10%
Abstract
We consider a version of the double integral calculus of variations on time scales, which includes as special cases the classical two-variable calculus of variations and the discrete two-variable calculus of variations. Necessary and sufficient conditions for a local extremum are established, among them an analogue of the Euler-Lagrange equation. (C) 2007 Elsevier Ltd. All rights reserved.
Description
Bohner, Martin/0000-0001-8310-0266
ORCID
Keywords
time scales, partial delta derivatives, double delta integrals, Euler-Lagrange equation, Partial delta derivatives, Computational Mathematics, Double delta integrals, Computational Theory and Mathematics, Modelling and Simulation, Euler–Lagrange equation, Time scales, Euler-Lagrange equation, time scales, Functions of several variables, double delta integrals, partial delta derivatives, Optimality conditions for free problems in two or more independent variables, Additive difference equations
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q1
Scopus Q
OpenCitations Citation Count
66
Source
Computers & Mathematics with Applications
Volume
54
Issue
1
Start Page
45
End Page
57
PlumX Metrics
Citations
CrossRef : 41
Scopus : 85
Captures
Mendeley Readers : 13
SCOPUS™ Citations
85
checked on Apr 25, 2026
Web of Science™ Citations
77
checked on Apr 25, 2026
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