Title :
Notice of Retraction
On Subnormal Solutions of Higher Order Linear Periodic Differential Equations
Author :
Ji-jun Wu ; Jiao-yu Wu
Author_Institution :
Comput. Eng. Tech. Coll., Guangdong Inst. of Sci. & Technol., Zhuhai, China
Abstract :
Notice of Retraction
After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.
We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.
The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.
In this paper, we investigated the existence of subnormal solution and the growth properties of solutions for nth order periodic coefficient homogeneous linear differential equations f(k)+[Pk-1(ez)+Qk-1(e-z)]f(k-1)+??????+[p1(ez)+Q1(e-z)]f+[P0(ez)+Q0(e-z)]f=0 (where Pj(z), Qj(z) (j=0,??????, n-1)(n ?? 2) are polynomials and P0 +Q0 ??0 and its corresponding non-homogeneous equations, we proved the non- existence of subnormal solutions of homogeneous differential equations and the hype order of non-trivial solutions satisfied ??2 (f ) =1 if there exists a 0 ?? s<k satisfies max {deg Pj} <deg Ps, max{deg Qj} <deg Qs.
Keywords :
linear differential equations; polynomials; higher order linear periodic differential equations; nonhomogeneous equations; nth order periodic coefficient homogeneous linear differential equations; polynomials; subnormal solution; Computer science; Computer science education; Conferences; Differential equations; Educational technology; hyper order; periodic differential equation; subnormal solution;
Conference_Titel :
Education Technology and Computer Science (ETCS), 2010 Second International Workshop on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-6388-6
DOI :
10.1109/ETCS.2010.552