Distribution of zeros of solutions to functional equations

A. Domoshnitsky; M. Drakhlin; I. P. Stavroulakis

doi:10.1016/j.mcm.2004.02.043

Distribution of zeros of solutions to functional equations

A. Domoshnitsky, M. Drakhlin, I. P. Stavroulakis

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

In this paper, distribution of zeros of solutions to functional equations is studied. It will be demonstrated that oscillation properties of functional equations are determined by the spectral radius of a corresponding operator acting in the space of essentially bounded functions. Distances between zeros of solutions are estimated. On this basis, zones of solutions positivity to the Dirichlet boundary value problem for delay PDEs are estimated.

Original language	English
Pages (from-to)	193-205
Number of pages	13
Journal	Mathematical and Computer Modelling
Volume	42
Issue number	1-2
DOIs	https://doi.org/10.1016/j.mcm.2004.02.043
State	Published - Jul 2005

Keywords

Functional equations
Nonoscillation
Oscillation
Spectral radius

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10.1016/j.mcm.2004.02.043

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abstract = "In this paper, distribution of zeros of solutions to functional equations is studied. It will be demonstrated that oscillation properties of functional equations are determined by the spectral radius of a corresponding operator acting in the space of essentially bounded functions. Distances between zeros of solutions are estimated. On this basis, zones of solutions positivity to the Dirichlet boundary value problem for delay PDEs are estimated.",

keywords = "Functional equations, Nonoscillation, Oscillation, Spectral radius",

author = "A. Domoshnitsky and M. Drakhlin and Stavroulakis, {I. P.}",

note = "Funding Information: The research of the first two authors was supported by the KAMEA and Giladi Programs of the Ministry of Absorption of the State of Israel.",

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AU - Drakhlin, M.

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N2 - In this paper, distribution of zeros of solutions to functional equations is studied. It will be demonstrated that oscillation properties of functional equations are determined by the spectral radius of a corresponding operator acting in the space of essentially bounded functions. Distances between zeros of solutions are estimated. On this basis, zones of solutions positivity to the Dirichlet boundary value problem for delay PDEs are estimated.

AB - In this paper, distribution of zeros of solutions to functional equations is studied. It will be demonstrated that oscillation properties of functional equations are determined by the spectral radius of a corresponding operator acting in the space of essentially bounded functions. Distances between zeros of solutions are estimated. On this basis, zones of solutions positivity to the Dirichlet boundary value problem for delay PDEs are estimated.

KW - Functional equations

KW - Nonoscillation

KW - Oscillation

KW - Spectral radius

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ER -

Distribution of zeros of solutions to functional equations

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Keywords

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