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Improved iterative oscillation tests in difference equations with several arguments
Authors:George E. Chatzarakis  Mervan Pašić
Affiliation:1. Department of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE), 14121, N. Heraklio, Athens, Greece;2. Faculty of Electrical Engineering and Computing, Department of Applied Mathematics, University of Zagreb, 10000 Zagreb, Croatia
Abstract:An iterative procedure is used to establish the oscillatory sufficient conditions of first-order linear difference equations with several non-monotone deviating arguments and nonnegative coefficients. The conditions obtained by this method, achieve a marked improvement on all known conditions in the literature.
Keywords:Difference equation  non-monotone arguments  oscillatory solutions  nonoscillatory solutions
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