New oscillation conditions for first-order linear retarded difference equations with non-monotone arguments
Copyright policy )New oscillation conditions for first-order linear retarded difference equations with non-monotone arguments
In this paper, we study the oscillatory behavior of the solutions of a first-order difference equation with non-monotone retarded argument and nonnegative coefficients, based on an iterative procedure. We establish some oscillation criteria, involving \(\lim \sup\), which achieve a marked improvement on several known conditions in the literature. Two examples, numerically solved in MAPLE software, are also given to illustrate the applicability and strength of the obtained conditions.
Oscillation theory for difference equations, T57-57.97, Applied mathematics. Quantitative methods, non-monotone argument, difference equations, oscillation
Oscillation theory for difference equations, T57-57.97, Applied mathematics. Quantitative methods, non-monotone argument, difference equations, oscillation
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