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Mathematics
Article . 2026 . Peer-reviewed
License: CC BY
Full-Text: https://www.mdpi.com/2227-7390/14/14/2618/pdf
Data sources: Multidisciplinary Digital Publishing Institute
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Mathematics
Article . 2026 . Peer-reviewed
License: CC BY
Data sources: Crossref
Claim

On the Entire Solutions of a Class of Differential Equations Related to Fermat-Type Equations

descriptionPublicationkeyboard_double_arrow_right Article 19 Jul 2026 English Publisher:MDPI AGJournal:Mathematics, volume 14, page 2,618 (eissn: 2227-7390, Copyright policy )
Authors: Wang, Gengchen; Liao, Liangwen;

doi: 10.3390/math14142618

On the Entire Solutions of a Class of Differential Equations Related to Fermat-Type Equations

Abstract

We study a substantially generalized version of the equation on nonlinear monomial differential equations, and obtain two-sided inequalities for the growth of entire solutions. We also study the Fermat-type differential equation with two exponential terms, and obtain almost all of the entire solutions.

Keywords

Nevanlinna theory, entire solution, nonlinear differential equation, Fermat-type equation

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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