Oscillation of solutions of some higher order linear differential equations

Hong-Yan Xu, Jingdezhen Ceramic Institute, Jingdezhen, Jiangxi, P. R. China
Ting-Bin Cao, Nanchang University, Nanchang, Jiangxi, P. R. China

E. J. Qualitative Theory of Diff. Equ., No. 63. (2009), pp. 1-18.

Abstract: In this paper, we deal with the order of growth and the hyper order of solutions of higher order linear differential equations $$f^{(k)}+B_{k-1}f^{(k-1)}+\cdots+B_1f'+B_0f=F$$ where $B_j(z) (j=0,1,\ldots,k-1)$ and $F$ are entire functions or polynomials. Some results are obtained which improve and extend previous results given by Z.-X. Chen, J. Wang, T.-B. Cao and C.-H. Li.

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