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Boundary-value problems for Hamiltonian systems and absolute minimizers in calculus of variations
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Kolokoltsov, V. N. (Vasiliĭ Nikitich) and Tyukov, Alexei E.. (2006) Boundary-value problems for Hamiltonian systems and absolute minimizers in calculus of variations. Electronic Journal of Differential Equations, Vol.2006 (No.90). pp. 1-21. ISSN 1072-6691
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Official URL: http://ejde.math.txstate.edu/
Abstract
We apply the method of Hamilton shooting to obtain the well-posedness of boundary value problems for certain Hamiltonian systems and
some estimates for their solutions. The examples of Hamiltonian functions
covered by the method include elliptic polynomials and exponentially growing
functions. As a consequence we prove global existence, smoothness and almost
everywhere uniqueness of absolute minimizers in the corresponding problem
of calculus of variations and hence construct the global field of extremals.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science > Statistics | ||||
| Library of Congress Subject Headings (LCSH): | Hamiltonian systems, Boundary value problems | ||||
| Journal or Publication Title: | Electronic Journal of Differential Equations | ||||
| Publisher: | Texas State University - San Marcos. Dept. of Mathematics | ||||
| ISSN: | 1072-6691 | ||||
| Official Date: | 2006 | ||||
| Dates: |
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| Volume: | Vol.2006 | ||||
| Number: | No.90 | ||||
| Page Range: | pp. 1-21 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| URI: | http://wrap.warwick.ac.uk/id/eprint/39391 |
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