International Journal of Mathematics and Mathematical Sciences
Volume 4 (1981), Issue 1, Pages 137-146
doi:10.1155/S0161171281000094

Oscillation in second order functional equations with deviating arguments

Abstract

For the pair of functional equations (A)                              (r(t)y′(t))′+p(t)h(h(g(t)))=f(t) and (B)                                     (r(t)y′(t))′−p(t)h(y(g(t)))=0 sufficient conditions have been found to cause all solutions of equation (A) to be oscillatory. These conditions depend upon a positive solution of equation (B).