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
Department of Mathematics, University of Wisconsin Center, Manitowoc 54220, Wisconsin, USA
Received 16 October 1979
Copyright © 1981 Bhagat Singh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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).