SPECTRAL ESTIMATES FOR A NONHOMOGENEOUS DIFFERENCE PROBLEM-Reference-Cited by-同舟云学术

SPECTRAL ESTIMATES FOR A NONHOMOGENEOUS DIFFERENCE PROBLEM

Published:2010-12 Issue:06 Volume:12 Page:1015-1029
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

KRISTÁLY ALEXANDRU¹²,MIHĂILESCU MIHAI²³,RĂDULESCU VICENŢIU³⁴,TERSIAN STEPAN⁵

Affiliation:

1. Department of Economics, University of Babeş-Bolyai, 400591 Cluj-Napoca, Romania

2. Department of Mathematics, Central European University, 1051 Budapest, Hungary

3. Department of Mathematics, University of Craiova, 200585 Craiova, Romania

4. Institute of Mathematics "Simion Stoilow" of the Romanian Academy, P.O. Box 1-764, 014700 Bucharest, Romania

5. Department of Mathematical Analysis, University of Rousse, 7017 Rousse, Bulgaria

Abstract

We study an eigenvalue problem in the framework of difference equations. We show that there exist two positive constants λ0and λ1verifying λ0≤ λ1such that any λ ∈ (0, λ0) is not an eigenvalue of the problem, while any λ ∈ [λ1, ∞) is an eigenvalue of the problem. Some estimates for λ0and λ1are also given.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199710004093

Reference14 articles.

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