EDP Sciences Journals List

• All issues
• Special issues
• E-First
• Forthcoming
• Highlights
• News
• Search

Home Document

Subscriber Authentication Point

Journal homepage

Table of contents

 Previous article  Next article 

• Abstract
• - PDF (373.9 KB)
• - PS (423.7 KB)
• - DVI (79.45 KB)
• - References

Services

• Articles citing this article
  
  - CrossRef (1)
• Same authors
  - Google Scholar
  - EDP Sciences database
• Related articles
  
  - EDP Sciences database
•  
• Recommend this article
• Download citation
• Alert me when this article is cited
• Alert me when this article is corrected

Bookmarking

• BibSonomy	CiteUlike
  Connotea	Del.icio.us
  Digg	Facebook

• EDPS account
• Email-alert

Free access article

Issue		ESAIM: COCV Volume 5, 2000
Page(s)		279 - 292
DOI		10.1051/cocv:2000111

DOI: 10.1051/cocv:2000111

ESAIM: COCV, June 2000, Vol. 5, 279-292

Sufficient conditions for infinite-horizon calculus of variations problems

Joël Blot
CERMSEM, M.S.E., Université de Paris 1 Panthéon-Sorbonne, 106-112 boulevard de l'H $\hat{\rm o}$pital, 75647 Paris Cedex 13, France; (blot@univ-paris1.fr)

Naïla Hayek
L.I.B.R.E., Faculté de Droit et des Sciences Économiques, Université de Franche-Comté, avenue de l'Observatoire, 25030 Besançon Cedex, France, and CERMSEM, M.S.E., Université de Paris 1 Panthéon - Sorbonne, 106-112 boulevard de l'Hôpital, 75647 Paris Cedex 13, France; (hayek@univ-paris1.fr)

Received October 29, 1998. Revised December 9, 1999 and April 17, 2000.

Abstract: After a brief survey of the literature about sufficient conditions, we give different sufficient conditions of optimality for infinite-horizon calculus of variations problems in the general (non concave) case. Some sufficient conditions are obtained by extending to the infinite-horizon setting the techniques of extremal fields. Others are obtained in a special case of reduction to finite horizon. The last result uses auxiliary functions. We treat five notions of optimality. Our problems are essentially motivated by macroeconomic optimal growth models.

Keywords and phrases: Calculus of variations, infinite-horizon problems, optimal growth theory.

AMS Subject Classification: 90A16, 49K99.

Article without figures

What is OpenURL?

The OpenURL standard is a protocol for transmission of metadata describing the resource that you wish to access. An OpenURL link containsarticle metadata and directs it to the OpenURL server of your choice. The OpenURL server can provide access to the resource and also offer complementary services (specific search engine, export of references...). The OpenURL link can be generated by different means:

• if your librarian has set up your subscription with an OpenURL resolver, OpenURL links appear automatically on the abstract pages,
• you can define your own OpenURL resolver with your EDPS Account. In this case your choice will be given priority over that of your library,
• you can use an add-on for your browser (Firefox or I.E.) to display OpenURL links on a page (see http://www.openly.com/openurlref/). You should disable this module if you wish to use the OpenURL server that you or your library have defined.

Back to top

• EDP Sciences
• Credits
• Contacts