ON THE MAYER PROBLEM I. GENERAL PRINCIPLES

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F02%3APU34103" target="_blank" >RIV/00216305:26110/02:PU34103 - isvavai.cz</a>
Result on the web
—
DOI - Digital Object Identifier
—

Result language
angličtina
Original language name
ON THE MAYER PROBLEM I. GENERAL PRINCIPLES
Original language description
Given an underdetermined system of ordinary differential equations (i.e., the Monge system, the optimal control system) expressed by Pfaffian equations $omegaequiv 0 (omegainOmega)$ where $Omega$ is a~module of differential 1--forms on a~space $bf{M}$, we determine submodules $breveOmegasubsetOmega$ which satisfy the congruence $dbreveOmegasimeq 0$ ($mbox{mod},breveOmega, OmegawedgeOmega$) along a~certain special subspace $mathbf{E}subsetmathbf{M}$ of the total space $mmathbf{M}$. Then $breveOmega$ and $mathbf{E}$ may be interpreted in terms of Poincar'e--Cartan forms and Euler--Lagrange equations for various Mayer problems that belong to the given Monge system. They yield a~universal canonical formalism including the Weierstrass--Hilbert extremality theory. The occurences of uncertain coefficients (Lagrange multipliers, adjoint variables) are suppressed and occasionally eliminated (e.g., for all Mayer problems arising from a~Lagrange problem), the degene
Czech name
—
Czech description
—

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Publication year
2002
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)