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Spectral estimates for a nonhomogeneous difference problemKristály, Alexandru ...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 ▫$\lambda_{0} \leq \lambda_{1}$▫ ... such that any ▫$\lambda \in (0, \lambda_{0})$▫ is not an eigenvalue of the problem, while any ▫$\lambda \in [\lambda_{1}, \infty )$▫ is an eigenvalue of the problem. Some estimates for ▫$\lambda_{0}$▫ and ▫$\lambda_{1}$▫ are also given.Source: Communications in contemporary mathematics. - ISSN 0219-1997 (Vol. 12, no. 6, 2010, str. 1015-1029)Type of material - article, component partPublish date - 2010Language - englishCOBISS.SI-ID - 15817049
Author
Kristály, Alexandru |
Mihǎilescu, Mihai |
Rǎdulescu, Vicenţiu, 1958- |
Tersian, Stepan
Topics
matematika |
parcialne diferencialne enačbe |
problem lastnih vrednosti |
diskretni robni problem |
kritična točka |
zvezni spekter |
mathematics |
partial differential equations |
eigenvalue problem |
discrete boundary value problem |
critical point |
continuous spectrum
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Kristály, Alexandru | |
Mihǎilescu, Mihai | |
Rǎdulescu, Vicenţiu, 1958- | 29964 |
Tersian, Stepan |
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