English

Oscillation and non-oscillation criteria for second order linear non homogeneous functional-differential equations

Classical Analysis and ODEs 2022-05-11 v1

Abstract

The Riccati equation method is used to establish oscillation and non-oscillation criteria for second order linear nonhomogeneous functional-differential equations.We show that the obtained oscillation criterion is a generalization of J. S. W. Wong's oscillation criterion for second order linear nonhomogeneous ordinary differential equations. Two examples, demonstrating the aptitude of the obtained criteria, are presented.

Keywords

Cite

@article{arxiv.2205.04699,
  title  = {Oscillation and non-oscillation criteria for second order linear non homogeneous functional-differential equations},
  author = {G. A. Grigorian},
  journal= {arXiv preprint arXiv:2205.04699},
  year   = {2022}
}