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October 2021 The growth of solutions of non-homogeneous linear differential equations
Dinesh Kumar, Manisha Saini
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Kodai Math. J. 44(3): 556-574 (October 2021). DOI: 10.2996/kmj/kmj44306

Abstract

In this paper, we have considered second order non-homogeneous linear differential equations whose coefficients are entire functions. We have established conditions ensuring the non-existence of finite order solution of such type of differential equations. Moreover, we have also extended our results to higher order non-homogeneous differential equations.

Acknowledgment

We are grateful to the referee's diligence and helpful suggestions to enhance the quality of the paper.

Citation

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Dinesh Kumar. Manisha Saini. "The growth of solutions of non-homogeneous linear differential equations." Kodai Math. J. 44 (3) 556 - 574, October 2021. https://doi.org/10.2996/kmj/kmj44306

Information

Received: 17 April 2021; Revised: 11 June 2021; Published: October 2021
First available in Project Euclid: 27 October 2021

Digital Object Identifier: 10.2996/kmj/kmj44306

Subjects:
Primary: 34M10
Secondary: 30D35

Keywords: entire function , non-homogeneous differential equation , Order of growth

Rights: Copyright © 2021 Tokyo Institute of Technology, Department of Mathematics

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Vol.44 • No. 3 • October 2021
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