International Journal of Mathematics and Mathematical Sciences 
Volume 6 (1983), Issue 1, Pages 101-109
doi:10.1155/S0161171283000083

Nonlinear oscillations in disconjugate forced functional equations with deviating arguments

Bhagat Singh

 Department of Mathematics, University of Wisconsin Center, Manitowoc 54220, Wisconsin, USA
Received 28 July 1982

Abstract

For the equation Lnv(t)+a(t)h(y(g(t)))=f(t) where Lny(t)=pn(t)(pn−1(t)(…(p1(t)(po(t)y(t))′)′…)′)′ sufficient conditions have been found for all of its solutions to be oscillatory. The conditions found also lead to growth estimates for tle nonoscillatory solutions.