Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1190.49018
Hwang, Jin-Soo; Nakagiri, Shin-Ichi
Optimal control problems for Kirchhoff type equation with a damping term. (English)
[J] Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 3-4, A, 1621-1631 (2010). ISSN 0362-546X

Summary: Optimal control problems are studied for the equation of Kirchhoff type with a damping term. The Gâteaux differentiability of solution mapping on control variables is proved and the various types of necessary optimality conditions corresponding to the distributive and terminal value observations are established.

MSC 2000:: *49J50 Frechet and Gateaux differentiability
35L20 Second order hyperbolic equations, boundary value problems
49K20 Optimal control problems with PDE (nec./ suff.)
35Q93
70Q05 Control of mechanical systems

Keywords: optimal control; Kirchhoff type damped wave equation; Gâteaux differentiability; necessary optimality conditions

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]