a1 Department of Mathematics, University of Ioannina, Greece
This paper deals with the oscillatory and asymptotic behaviour of all solutions of a class of nth order (n > 1) non-linear differential equations with deviating arguments involving the so called nth order r-derivative of the unknown function x defined by
where r1, (i = 0,1,…, n – 1) are positive continuous functions on [t0, ∞). The results obtained extend and improve previous ones in [7 and 15] even in the usual case where r0 = r1 = … = rn–1 = 1.
(Received May 18 1977)
† This paper formed a part of the author's Doctoral Thesis submitted to the School of Physics and Mathematics, University of Ioannina.