# Structure of approximate solutions of variational problems with extended-valued convex integrands

ESAIM: Control, Optimisation and Calculus of Variations (2009)

- Volume: 15, Issue: 4, page 872-894
- ISSN: 1292-8119

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topZaslavski, Alexander J.. "Structure of approximate solutions of variational problems with extended-valued convex integrands." ESAIM: Control, Optimisation and Calculus of Variations 15.4 (2009): 872-894. <http://eudml.org/doc/244724>.

@article{Zaslavski2009,

abstract = {In this work we study the structure of approximate solutions of autonomous variational problems with a lower semicontinuous strictly convex integrand $f$ : $R^n$$\times $$R^n$$\rightarrow $$R^1$$\cup $$\lbrace \infty \rbrace $, where $R^n$ is the $n$-dimensional euclidean space. We obtain a full description of the structure of the approximate solutions which is independent of the length of the interval, for all sufficiently large intervals.},

author = {Zaslavski, Alexander J.},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {good function; infinite horizon; integrand; overtaking optimal function; turnpike property; approximate solutions},

language = {eng},

number = {4},

pages = {872-894},

publisher = {EDP-Sciences},

title = {Structure of approximate solutions of variational problems with extended-valued convex integrands},

url = {http://eudml.org/doc/244724},

volume = {15},

year = {2009},

}

TY - JOUR

AU - Zaslavski, Alexander J.

TI - Structure of approximate solutions of variational problems with extended-valued convex integrands

JO - ESAIM: Control, Optimisation and Calculus of Variations

PY - 2009

PB - EDP-Sciences

VL - 15

IS - 4

SP - 872

EP - 894

AB - In this work we study the structure of approximate solutions of autonomous variational problems with a lower semicontinuous strictly convex integrand $f$ : $R^n$$\times $$R^n$$\rightarrow $$R^1$$\cup $$\lbrace \infty \rbrace $, where $R^n$ is the $n$-dimensional euclidean space. We obtain a full description of the structure of the approximate solutions which is independent of the length of the interval, for all sufficiently large intervals.

LA - eng

KW - good function; infinite horizon; integrand; overtaking optimal function; turnpike property; approximate solutions

UR - http://eudml.org/doc/244724

ER -

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