On comparison principles for the periodic Hill's equation

被引：14

作者：

Cabada, Alberto ^{[1
]}

Angel Cid, J. ^{[2
]}

机构：

[1] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain

[2] Univ Vigo, Dept Matemat, Higher Tech Sch Comp Engn, Orense 32004, Spain

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2012年 / 86卷

关键词：

2ND-ORDER DIFFERENTIAL-EQUATIONS; BOUNDARY-VALUE-PROBLEMS; ANTI-MAXIMUM PRINCIPLE; BEAM FOCUSING SYSTEM; P-LAPLACIAN; EXISTENCE; SIGN;

D O I：

10.1112/jlms/jds001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Moreover, we obtain new explicit criteria that ensures that the maximum or anti-maximum principle holds for this equation. The given criteria complement previous results in the literature.

引用

页码：272 / 290

页数：19

共 30 条

[1] [Anonymous], 2001, INTRO APPL
[2] Maximum and anti-maximum principles for the general operator of second order with variable coefficients
Barteneva, IV
Cabada, A
Ignatyev, AO
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2003, 134 (01) : 173 - 184
[3] Bevc V., 1958, J BRIT I RADIO ENG, V18, P696
[4] THE METHOD OF LOWER AND UPPER SOLUTIONS FOR 2ND, 3RD, 4TH, AND HIGHER-ORDER BOUNDARY-VALUE-PROBLEMS
CABADA, A
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 185 (02) : 302 - 320
[5] On the sign of the Green's function associated to Hill's equation with an indefinite potential
Cabada, Alberto
Cid, Jose Angel
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 205 (01) : 303 - 308
[6] Existence and Multiplicity of Solutions for a Periodic Hill's Equation with Parametric Dependence and Singularities
Cabada, Alberto
Angel Cid, Jose
[J]. ABSTRACT AND APPLIED ANALYSIS, 2011,
[7] A generalized anti-maximum principle for the periodic one-dimensional p-Laplacian with sign-changing potential
Cabada, Alberto
Cid, Jose Angel
Tvrdy, Milan
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (7-8) : 3436 - 3446
[8] De Coster C., 2006, Two-Point Boundary Value Problems
[9] Ding T., 2004, Applications of Qualitative Methods of Ordinary Differential Equations
[10] Ding T., 1965, ACTA SCI NATUR U PEK, V11, P31

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