Optimal Conditions for Maximum and Antimaximum Principles of the Periodic Solution Problem. (17th May 2010)

• Record Type: Journal Article
• Authors: Zhang Zhang, Meirong Meirong
• Other Names: Drábek Drábek Pavel Pavel Academic Editor.
• Is Part Of: Boundary value problems. Volume 2010(2010)
• Publication Date: 2010-05-17
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/2010/410986
• Languages: English
• ISSNs: 1687-2762

Abstract

Abstract : Given a periodic, integrable potential q ( t ), we will study conditions on q ( t ) so that the operator L q x = x ″ + q x admits the maximum principle or the antimaximum principle with respect to the periodic boundary condition. By exploiting Green functions, eigenvalues, rotation numbers, and their estimates, we will give several optimal conditions.