Entire solutions of Fermat type differential-difference equations

Li, Kai; Cao, Tingbin; Cao, Hongzhe

doi:10.1007/s00013-012-0408-9

Cited by 96 publications

(84 citation statements)

References 12 publications

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“…Case 2 and Case 3, similarly to the proof of the Case 1 and Case 2 of [10], Theorem 1.2, we can also obtain (1.9) has no transcendental entire solutions of finite order.…”

Section: Proof Of Theorem 13supporting

confidence: 69%

“…In [10], Liu et al considered Fermat type differential-difference equation and obtained the following results.…”

Section: Introduction and Main Resultsmentioning

confidence: 99%

“…When has a specific relationship with in (1.7), Liu et al [10] studied the differential-difference equation and obtained the following result.…”

Section: Introduction and Main Resultsmentioning

confidence: 99%

See 2 more Smart Citations

Existence of entire solutions of some non-linear differential-difference equations

Chen¹,

Гао²,

Du³

2017

J Inequal Appl

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In this paper, we investigate the admissible entire solutions of finite order of the differential-difference equations and , where , are two non-zero polynomials, is a polynomial and . In addition, we investigate the non-existence of entire solutions of finite order of the differential-difference equation , where , are two non-constant polynomials, , m, n are positive integers and satisfy except for , .

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“…Case 2 and Case 3, similarly to the proof of the Case 1 and Case 2 of [10], Theorem 1.2, we can also obtain (1.9) has no transcendental entire solutions of finite order.…”

Section: Proof Of Theorem 13supporting

confidence: 69%

“…In [10], Liu et al considered Fermat type differential-difference equation and obtained the following results.…”

Section: Introduction and Main Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Existence of entire solutions of some non-linear differential-difference equations

Chen¹,

Гао²,

Du³

2017

J Inequal Appl

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show abstract

“…[14]) or complex differential-difference equations (cf. [10], [12] and [15]) were rapidly obtained, respectively.…”

Section: Introduction and Main Resultsmentioning

confidence: 99%

On Solutions to Some Nonlinear Difference and Differential Equations

Chen¹,

Hu²,

Zhang³

2016

Journal of the Korean Mathematical Society

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“…Many scholars have investigated this and related problems, for details please see [3,4,12,14,15,18,20,23,25] etc. Gundersen-Hayman [6] collected the best lower 908 Nan Li estimates that are known for every n as follows:…”

Section: Introductionmentioning

confidence: 99%