Oscillation of solutions and their arbitrary order derivatives of higher order non-homogeneous LDE

Belaïdi, B; Saidani, M

dc.contributor.author	Belaïdi, B
dc.contributor.author	Saidani, M
dc.date.accessioned	2019-06-09T08:52:36Z
dc.date.available	2019-06-09T08:52:36Z
dc.date.issued	2017
dc.identifier.uri	http://e-biblio.univ-mosta.dz/handle/123456789/10678
dc.description.abstract	In this paper, we investigate the iterated order of solutions of higher order nonhomogeneous linear differential equations Ak (z) f (k)+Ak􀀀1 (z) f (k􀀀1)+ +A1 (z) f ′ +A0 (z) f = F (z) ; where A0 (z) ;A1 (z) ; ;Ak (z) ̸ 0 are entire functions of finite iterated p􀀀order and F (z) is entire function of infinite iterated p􀀀order. We improve and extend some recent results of Chen and we obtain general estimates of the iterated convergence exponent, the iterated p-order and the iterated convergence exponent of arbitrary order derivatives of the solutions of the above equation.	en_US
dc.publisher	Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics	en_US
dc.subject	Linear differential equations	en_US
dc.subject	Entire function	en_US
dc.subject	Iterated order	en_US
dc.title	Oscillation of solutions and their arbitrary order derivatives of higher order non-homogeneous LDE	en_US
dc.type	Article	en_US