ON THE MAYER PROBLEM II. EXAMPLES

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F02%3APU34105" target="_blank" >RIV/00216305:26110/02:PU34105 - isvavai.cz</a>

Result on the web

—

DOI - Digital Object Identifier

—

Result language

angličtina

Original language name

ON THE MAYER PROBLEM II. EXAMPLES

Original language description

Given an underdetermined system of ordinary differential equations, extremals of all possible variational problems relevant to the system together with the corresponding Poincar'e--Cartan forms were characterized in geometrical terms in previous Part Iof this article. The present Part II demonstrates the utility of this approach: it enables a deep insight into the structure of Euler--Lagrange and Hamilton--Jacobi equations not available by other methods and provides the sufficient extremalityy conditions without uncertain multipliers similar to the common Hilbert--Weierstrass theory. Degenerate variational problems are in principle not excluded and, like in the "royal road" by Carath'eodory, no subtle investigation of admissible variations satisfying the boundary conditions is needed.

Czech name

—

Czech description

—

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

—

Project

—

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2002

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

MATHEMATICA SLOVACA

ISSN

0139-9918

e-ISSN

—

Volume of the periodical

52

Issue of the periodical within the volume

5

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

20

Pages from-to

571-590

UT code for WoS article

—

EID of the result in the Scopus database

—