Oscillations in differential equations caused by non-monotone arguments

  • Irena Jadlovska Technical University of Kosice
  • George Chatzarakis

Abstract

This paper is concerned with the oscillatory behavior of first-order linear differential equations with variable non-monotone deviating arguments and nonnegative coefficients. Corresponding differential equations of both delay and advanced type are studied. Sufficient oscillation conditions involving $% \lim \sup $ and $\lim \inf $ are obtained by applying an iterated method. An example, numerically solved in MATLAB, is also given to illustrate the applicability and strength of the obtained conditions over known ones.

Published
2020-08-20