Zeros of solutions of certain higher order linear differential equations

• Autorzy: Hong-Yan Xu , Cai-Feng Yi
• Języki publikacji: EN

Abstrakty

EN

We investigate the exponent of convergence of the zero-sequence of solutions of the differential equation
$f^{(k)} + a_{k-1}(z)f^{(k-1)} + ⋯ + a₁(z)f' +D(z)f=0$, (1)
where $D(z) = Q₁(z)e^{P₁(z)} + Q₂(z)e^{P₂(z)} + Q₃(z)e^{P₃(z)}$, P₁(z),P₂(z),P₃(z) are polynomials of degree n ≥ 1, Q₁(z),Q₂(z),Q₃(z),$a_j(z)$ (j=1,..., k-1) are entire functions of order less than n, and k ≥ 2.

Kategorie tematyczne

• 34M10: Oscillation, growth of solutions
• 30D35: Distribution of values, Nevanlinna theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2010
• Tom: 97
• Numer: 2
• Strony: 123-136

Daty

wydano

2010

Twórcy

autor

Hong-Yan Xu

• Department of Informatics and Engineering, Jingdezhen Ceramic Institute (XiangHu XiaoQu), Jingdezhen, Jiangxi 333403, China

autor

Cai-Feng Yi

• Institute of Mathematics, and Informatics, Jiangxi Normal University, Nanchang, Jiangxi 330027, China

Identyfikatory

DOI

10.4064/ap97-2-2