Oscillations in deviating difference equations using an iterative technique

Journal of inequalities and applications

George E Chatzarakis¹ 

关键词: difference equations;    non-monotone argument;    retarded argument;    advanced argument;    oscillation;    Grönwall inequality;    39A10;    39A21;   

DOI  :  10.1186/s13660-017-1450-8

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY