SPECTRAL ESTIMATES FOR A NONHOMOGENEOUS DIFFERENCE PROBLEM

被引：19

作者：

Kristaly, Alexandru ^{[2
,3
]}

Mihailescu, Mihai ^{[1
,3
]}

Radulescu, Vicentiu ^{[1
,4
]}

Tersian, Stepan ^{[5
]}

机构：

[1] Univ Craiova, Dept Math, Craiova 200585, Romania

[2] Univ Babes Bolyai, Dept Econ, Cluj Napoca 400591, Romania

[3] Cent European Univ, Dept Math, H-1051 Budapest, Hungary

[4] Acad Romana, Inst Math Simion Stoilow, Bucharest 014700, Romania

[5] Univ Rousse, Dept Math Anal, Rousse 7017, Bulgaria

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2010年 / 12卷 / 06期

关键词：

Eigenvalue problem; discrete boundary value problem; critical point; continuous spectrum; BOUNDARY-VALUE-PROBLEMS; MULTIPLE POSITIVE SOLUTIONS; VARIATIONAL-METHODS; EIGENVALUE; LAPLACIAN;

D O I：

10.1142/S0219199710004093

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study an eigenvalue problem in the framework of difference equations. We show that there exist two positive constants lambda(0) and lambda(1) verifying lambda(0) <= lambda(1) such that any lambda is an element of (0, lambda(0)) is not an eigenvalue of the problem, while any lambda [lambda(1), infinity) is an eigenvalue of the problem. Some estimates for lambda(0) and lambda(1) are also given.

引用

页码：1015 / 1029

页数：15

共 15 条

[1] Multiple positive solutions of singular discrete p-Laplacian problems via variational methods
Agarwal, Ravi P.
Perera, Kanishka
O'Regan, Donal
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2005, 2005 (02) : 93 - 99
[2] Agarwal Ravil P, 2000, DIFFERENCE EQUATIONS
[3] Agarwal RP, 2004, NONLINEAR ANAL-THEOR, V58, P69, DOI 10.1016/j.na.2004.11.012
[4] [Anonymous], COLLECTION MATH APPL
[5] [Anonymous], 1996, VARIATIONAL METHODS, DOI DOI 10.1007/978-3-662-03212-1
[6] [Anonymous], 2001, INTRO APPL
[7] Bereanu C., 2006, THESIS U CATHOLIQUE
[8] Multiple solutions for discrete boundary value problems
Cabada, Alberto
Iannizzotto, Antonio
Tersian, Stepan
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 356 (02) : 418 - 428
[9] Existence theorems for second-order discrete boundary value problems
Cai, Xiaochun
Yu, Jianshe
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 320 (02) : 649 - 661
[10] Faber G., 1923, MUNCH BER, V1923, P169

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