Advanced search
Publication Cover
Optimization
A Journal of Mathematical Programming and Operations Research
Volume 20, 1989 - Issue 5
Submit an article Journal homepage
26
Views
16
CrossRef citations to date
0
Altmetric
Original Articles

Second order optimality conditions for a class of control problems governed by non-linear integral equations with application to parabolic boundary control

H. Golderg Sektion Mathematik, Technische Universität Karl-Marx-Stadt, Postfach 964, Karl-Marx-Stadt, DDR-9010
&
F. Tröltzsch Sektion Mathematik, Technische Universität Karl-Marx-Stadt, Postfach 964, Karl-Marx-Stadt, DDR-9010
Pages 687-698 | Received 01 Sep 1987, Published online: 27 Jun 2007

References

  • Ahmed , N.U. and Teo , K.L. 1981 . Optimal control of distributed parameter systems , New York : North Holland .
  • Van Luu , Do . 1982 . Necessaiy and sufficient conditions for some general optimization problems . Acta Math. Vietnamica , 7 ( 2 ) : 37 – 57 .
  • Gollan , B. 1981 . Higher order necessary conditions for an abstract optimization problem . Math. Programming Study , 14 ( 2 ) : 69 – 76 .
  • Hoffmann , K.H. 1987 . Optimal control of partial differential equations II , Edited by: Krabs , W. Vol. ISNM 78 , Birkhäuser-Verlag .
  • Ioffe , A.D. 1978 . Necessary and sufficient conditions for a local minimum. 3: Second order conditions and augmented duality . SIAM Journal on Control and Optimization , 17 : 266 – 288 .
  • Ioffe , A.D. and Tichomirov , V.M. 1979 . Theorie der Extremalaufgaben , Berlin : DVW .
  • Maurer , H. 1981 . First and second order sufficient optiniality conditions in mathematical programming and optimal control . Math. Programming Study , 14 : 163 – 177 .
  • Maurer , H. and Zowe , J. 1979 . First and second order necessary and sufficient opiimaiity conditions for infinite-dimensional programming problems . Math. Programming Study , 16 : 98 – 110 .
  • Tröltzsch , F. 1984 . “ Optiniality conditions for parabolic control problems and applications ” . In Series Teubner-Texte zur Mathematik , Vol. 62 , Leipzig : Teubner .
  • Tböltzsch , F. 1985 . On changing the spaces in Lagrange multiplier rules for the optimal cortrol of non-linear operator equations . Optimization , 16 ( 6 ) : 877 – 885 .
  • Zeidler , G. 1976 . “ Vorlesungen über nichtlineare Funktionalanalysis I Fixpunktsätze ” . In Series Teubner-Texte zur Mathematik , Leipzig : Teubner .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.