Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 1200.34001
Zhang, Meirong
Optimal conditions for maximum and antimaximum principles of the periodic solution problem. (English)
[J] Bound. Value Probl. 2010, Article ID 410986, 26 p. (2010). ISSN 1687-2770/e

The aim of this paper is to give several optimal criteria for the existence of maximum or antimaximum principles for the second order operator $L_q x=x''+q x$, with periodic conditions, where $q$ is a given periodic, integrable potential. This problem can be fully characterized in terms of periodic and antiperiodic eigenvalues. Alternatively, the maximum or antimaximum principle is closely related with the associated Green's function and its sign. The author presents an illuminating and unifying review of this topic.
[Pedro J. Torres (Granada)]

MSC 2000:: *34-02 Research monographs (ordinary differential equations)
34C25 Periodic solutions of ODE
34L15 Estimation of eigenvalues for OD operators
34B27 Green functions

Keywords: Maximum principle; antimaximum principle; eigenvalue; Green's function

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