Entire solutions of two certain types of quadratic trinomial q-difference differential equations

Zhenguang Gao; Lingyun Gao; Manli Liu; Zhenguang Gao; Lingyun Gao; Manli Liu

doi:10.3934/math.20231415

AIMS Mathematics

2023, Volume 8, Issue 11: 27659-27669. doi: 10.3934/math.20231415

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Research article

Entire solutions of two certain types of quadratic trinomial q-difference differential equations

1.
Department of Mathematics, Jinan University, Guangzhou 510632, China
2.
College of General Education, Guangzhou Institute of Science and Technology, Guangzhou 510540, China
3.
Department of Mathematics, South China Agricultural University, Guangzhou 510642, China

Received: 28 July 2023 Revised: 13 September 2023 Accepted: 13 September 2023 Published: 07 October 2023
MSC : 30D35, 39B32

The main purpose of this paper is to find the explicit forms for entire solutions of two certain types of Fermat-type q-difference differential equations. Some previous results are generalized and examples are constructed to show that the results are accurate.
- entire solutions,
- q-difference differential equations,
- Nevanlinna theory
Citation: Zhenguang Gao, Lingyun Gao, Manli Liu. Entire solutions of two certain types of quadratic trinomial q-difference differential equations[J]. AIMS Mathematics, 2023, 8(11): 27659-27669. doi: 10.3934/math.20231415

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Abstract

The main purpose of this paper is to find the explicit forms for entire solutions of two certain types of Fermat-type q-difference differential equations. Some previous results are generalized and examples are constructed to show that the results are accurate.

References

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