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Oscillations in deviating difference equations using an iterative technique

The paper deals with the oscillation of the first-order linear difference equation with deviating argument and nonnegative coefficients. New sufficient oscillation conditions, involving limsup, are given, which essentially improve all known results, based on an iterative technique. We illustrate the...

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Detalles Bibliográficos
Autores principales: Chatzarakis, George E, Jadlovská, Irena
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5529606/
https://www.ncbi.nlm.nih.gov/pubmed/28804227
http://dx.doi.org/10.1186/s13660-017-1450-8
Descripción
Sumario:The paper deals with the oscillation of the first-order linear difference equation with deviating argument and nonnegative coefficients. New sufficient oscillation conditions, involving limsup, are given, which essentially improve all known results, based on an iterative technique. We illustrate the results and the improvement over other known oscillation criteria by examples, numerically solved in Matlab.