An Improved Approach for Studying Oscillation of Second Order Nonlinear Mixed Functional Differential Equations with Sublinear Neutral Terms

Abstract

The aim of this paper is to find some new oscillation conditions for second order nonlinear mixed functional differential equations with sublinear neutral terms of the form such that

  () f  0,                        0,

where ()  ()    ,  is the ratio of odd positive integers with
0 <  1. Moreover, and () is a mixed type deviating argument. The presented results simplify, generalize, and improve existing results reported in the literature. Examples are given to illustrate the importance of the results.