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Relations between Limit-Point and Dirichlet Properties of Second-Order Difference Operators

Abstract

We consider second-order difference expressions, with complex coefficients, of the form acting on infinite sequences. The discrete analog of some known relationships in the theory of differential operators such as Dirichlet, conditional Dirichlet, weak Dirichlet, and strong limit-point is considered. Also, connections and some relationships between these properties have been established.

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Correspondence to A. Delil.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Delil, A. Relations between Limit-Point and Dirichlet Properties of Second-Order Difference Operators. Adv Differ Equ 2007, 094325 (2007). https://doi.org/10.1155/2007/94325

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  • DOI: https://doi.org/10.1155/2007/94325

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Analysis
  • Functional Equation