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.

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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:	Date Event 2006 Published
Date of first compliant deposit:	16 June 2016
Volume:	Vol.2006
Number:	No.90
Page Range:	pp. 1-21
Status:	Peer Reviewed
Publication Status:	Published

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