EuDML | Browse

In this paper we discuss the growth of solutions of the higher order nonhomogeneous linear differential equation $\begin{matrix} f^{(k)} + A_{k - 1} f^{(k - 1)} + \dots + A_{2} f^{''} + (D_{1} (z) + A_{1} (z) e^{a z}) f^{'} \\ + (D_{0} (z) + A_{0} (z) e^{b z}) f = F (k \geq 2), \end{matrix}$ where $a$ , $b$ are complex constants that satisfy $a b (a - b) \neq 0$ and $A_{j} (z)$ $(j = 0, 1 ...$

On the growth of solutions of some second-order linear differential equations.

Peng, Feng, Chen, Zong-Xuan (2011) Journal of Inequalities and Applications [electronic only]

On the hyper order of solutions of a class of higher order linear differential equations.

Belaïdi, Benharrat, Abbas, Saïd (2008) Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

On the hyper-order of analytic solutions of linear differential equations near a finite singular point

Meryem Chetti, Karima Hamani (2024) Mathematica Bohemica

We study the hyper-order of analytic solutions of linear differential equations with analytic coefficients having the same order near a finite singular point. We improve previous results given by S. Cherief and S. Hamouda (2021). We also consider the nonhomogeneous linear differential equations.

On the iterated order and the fixed points of entire solutions of some complex linear differential equations.

Belaidi, Benharrat (2006) Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Order and hyper-order of entire solutions of linear differential equations with entire coefficients.

Belaïdi, Benharrat, Hamani, Karima (2003) Electronic Journal of Differential Equations (EJDE) [electronic only]

Order of growth of solutions to algebraic differential equations in the unit disk.

Benbourenane, D., Sons, L.R. (2004) International Journal of Mathematics and Mathematical Sciences

Orders of solutions of an $n$ -th order linear differential equation with entire coefficients.

Belaïde, Benharrat, Hamouda, Saada (2001)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Oscillation of fast growing solutions of linear differential equations in the unit disc.

Belaïdi, Benharrat (2010)

Acta Universitatis Sapientiae. Mathematica

Oscillation of fixed points of solutions of some linear differential equations.

Belaïdi, B. (2008)

Acta Mathematica Universitatis Comenianae. New Series

Oscillation of higher-order linear differential equations with entire coefficients.

Huang, Zhi Gang, Sun, Gui Rong (2010)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Oscillation of solutions of some higher order linear differential equations.

Xu, Hong-Yan, Cao, Ting-Bin (2009)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Oscillation Results for Some Linear Differential Equations.

S. Wang, Y.-M. Chiang, I. Laine (1995)

Mathematica Scandinavica

Oscillation results on meromorphic solutions of second order differential equations in the complex plane.

Cao, Ting-Bin, Li, Lei-Min (2010)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Currently displaying 1 – 18 of 18

Page 1