논문KCI 등재
Non-homogeneous Linear Differential Equations with Solutions of Finite Order
2
조회
0
다운로드
0
인용
0
참고문헌
주제분류수학
초록
Abstract
In this paper we investigate the growth of finite order solutions of the differential equation f(k) + Ak 1(z)f(k 1) + + A1(z)f0+ A0(z)f = F(z), where A0(z); ;Ak 1(z) and F(z) 6 0 are entire functions. We find conditions on the coefficients which will guarantees the existence of an asymptotic value for a transcendental entire solution of finite order and its derivatives. We also estimate the lower bounds of order of solutions if one of the coefficient is dominant in the sense that has larger order than any other coefficients.
참고문헌 (6)
- "Order and hyper-order of entire solutions of linear differentialequations with entire coe±cients", 17, pp.1~12 (2003)
- "The growth of solutions of f00 + e¡zf0 + Q Science in China Ser. A", 45(3), pp.290~300 (2002)
- "Estimates for the logarithmic derivative of a meromorphic function", pp.88~104 (1988)
- "On the growth of solutions of certain lineardi？？erential equations", pp.343~365 (1992)
- "Finite order solutions of complex linear di？？erential equations", 65, pp.1~8 (2004)
- "Theory of functions of a complex variable", ii (1965), Prentice-Hall
관련 논문AI추천
On factorization of solutions to secondorder linear differential equationsWang Sheng대한수학회 · 대한수학회보2005 · 제42권 제1호Oscillation theorems of solutions for some differential equationsRakJoong Kim대한수학회 · 대한수학회논문집2004 · 제19권 제3호Zeros of solutions of second order linear differential equations with coefficients of small lower growthWang Sheng대한수학회 · 대한수학회보2003 · 제40권 제2호Angular distribution of solutions of higher order linear differential equationsDaochun Sun, Zhaojun Wu대한수학회 · 대한수학회지2007 · 제44권 제6호On the stability and instability of a class of nonlinear nonautonomous ordinary differential equationsM. De la Sen대한수학회 · 대한수학회보2003 · 제40권 제2호Asymptotic equivalence between linear differential systems구남집, 임동만, 최성규대한수학회 · 대한수학회보2005 · 제42권 제4호
이 간행물의 다른 논문 (14건)
A Note on Multidimensional Fractional Calculus Operators Involving Gauss Hypergeometric FunctionsR. K. Raina, Pramod Kr. Chhajedpp. 1-11Some Applications of Generalized Closed Sets in Fuzzy Topological SpacesM. E. El-Shafeipp. 13-19On Semirings which are Distributive Lattices of RingsS. K. Maitypp. 21-31Strongly Solid Varieties and Free Generalized ClonesKlaus Deneckepp. 33-43On the Basis Number of the Semi-Strong Product of Bipartite Graphs with CyclesM. M. M. Jaradat, Maref Y. Alzoubipp. 45-53