About zeros of solutions of functional equations

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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 languageEnglish
Pages (from-to)e2583-e2590
JournalNonlinear Analysis, Theory, Methods and Applications
Issue number5-7
StatePublished - 30 Nov 2005


  • Functional equations
  • Nonoscillation
  • Oscillation
  • Positivity
  • Zeros


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