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On the extremals of a functional in space

On the extremals of a functional in space We study the problem on the existence of extremals with given boundary conditions for the functional I(l) = ∫ 0 1 (px′ 2 + qy′ 2 + rz′ 2)1/2 dt under various assumptions about the functions p, q, r ∈ C 1(R 3). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

On the extremals of a functional in space

Differential Equations , Volume 44 (6) – Sep 9, 2008

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References (2)

Publisher
Springer Journals
Copyright
Copyright © 2008 by MAIK Nauka
Subject
Mathematics; Difference and Functional Equations; Partial Differential Equations; Ordinary Differential Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266108060037
Publisher site
See Article on Publisher Site

Abstract

We study the problem on the existence of extremals with given boundary conditions for the functional I(l) = ∫ 0 1 (px′ 2 + qy′ 2 + rz′ 2)1/2 dt under various assumptions about the functions p, q, r ∈ C 1(R 3).

Journal

Differential EquationsSpringer Journals

Published: Sep 9, 2008

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