scholarly journals Finite order solutions of nonhomogeneous linear differential equations

1992 ◽  
Vol 17 ◽  
pp. 327-341 ◽  
Author(s):  
Gary G. Gundersen ◽  
Enid M. Steinbart
Keyword(s):  
Differential Equations ◽  
Finite Order ◽  
Linear Differential Equations ◽  
Linear Differential

Growth and oscillation theory of non-homogeneous linear differential equations

2000 ◽  
Vol 43 (2) ◽  
pp. 343-359 ◽  
Author(s):  
Gary G. Gundersen ◽  
Enid M. Steinbart ◽  
Shupei Wang
Keyword(s):  
Differential Equation ◽  
Entire Function ◽  
Differential Equations ◽  
Finite Order ◽  
Oscillation Theory ◽  
Linear Differential Equations ◽  
Linear Differential ◽  
Homogeneous Linear

AbstractWe investigate the growth and the frequency of zeros of the solutions of the differential equation f(n) + Pn–1 (z) f(n–1) + … + P0 (z) f = H (z), where P0 (z), P1(z), …, Pn–1(z) are polynomials with P0 (z) ≢ 0, and H (z) ≢ 0 is an entire function of finite order.

scholarly journals Some Properties of Solutions of Second-Order Linear Differential Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-5
Author(s):  
Zinelaâbidine Latreuch ◽  
Benharrat Belaïdi
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Linear Differential Equation ◽  
Finite Order ◽  
Entire Functions ◽  
Second Order ◽  
Linear Differential Equations ◽  
Order Linear ◽  
Linearly Independent ◽  
Linear Differential

We study the growth and oscillation of gf=d1f1+d2f2, where d1 and d2 are entire functions of finite order not all vanishing identically and f1 and f2 are two linearly independent solutions of the linear differential equation f′′+A(z)f=0.

scholarly journals Growth of Solutions of Nonhomogeneous Linear Differential Equations

2009 ◽  
Vol 2009 ◽  
pp. 1-11 ◽  
Author(s):  
Jun Wang ◽  
Ilpo Laine
Keyword(s):  
Differential Equations ◽  
Finite Order ◽  
Entire Functions ◽  
Linear Differential Equations ◽  
Linear Differential ◽  
Growth Of Solutions

This paper is devoted to studying growth of solutions of linear differential equations of typef(k)+Ak−1(z)f(k−1)+⋯+A1(z)f′+A0(z)f=H(z)whereAj (j=0,…,k−1)andHare entire functions of finite order.

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