About zeros of solutions of functional equations

A. Domoshnitsky

doi:10.1016/j.na.2005.01.010

About zeros of solutions of functional equations

A. Domoshnitsky

Department of Mathematics

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

Abstract

In this paper, distribution of zeros of solutions to functional equations in a space of functions of two variables 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. An exact nonoscillation test will be obtained.

Original language	English
Pages (from-to)	e2583-e2590
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	63
Issue number	5-7
DOIs	https://doi.org/10.1016/j.na.2005.01.010
State	Published - 30 Nov 2005

Keywords

Functional equations
Nonoscillation
Oscillation
Positivity
Zeros

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10.1016/j.na.2005.01.010

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abstract = "In this paper, distribution of zeros of solutions to functional equations in a space of functions of two variables 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. An exact nonoscillation test will be obtained.",

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AB - In this paper, distribution of zeros of solutions to functional equations in a space of functions of two variables 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. An exact nonoscillation test will be obtained.

KW - Functional equations

KW - Nonoscillation

KW - Oscillation

KW - Positivity

KW - Zeros

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SN - 0362-546X

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JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 5-7

ER -

About zeros of solutions of functional equations

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Keywords

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