Malmquist-type theorems on some complex differential-difference equations

This article is devoted to study the existence conditions of solutions to several complex differential-difference equations. We obtain some Malmquist theorems related to complex differential-difference equations with a more general form than the previous equations given by Zhang, Huang, and others....

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Main Authors: Xu Hong Yan, Li Hong, Yu Meiying
Format: Article
Language:English
Published: De Gruyter 2022-08-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2022-0475
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author Xu Hong Yan
Li Hong
Yu Meiying
author_facet Xu Hong Yan
Li Hong
Yu Meiying
author_sort Xu Hong Yan
collection DOAJ
description This article is devoted to study the existence conditions of solutions to several complex differential-difference equations. We obtain some Malmquist theorems related to complex differential-difference equations with a more general form than the previous equations given by Zhang, Huang, and others. Moreover, some examples are provided to demonstrate why some restrictive conditions in some of our theorems cannot be removed.
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spelling doaj.art-2b6116c0efee428a880797fa11782b1d2022-12-22T03:51:08ZengDe GruyterOpen Mathematics2391-54552022-08-0120180981910.1515/math-2022-0475Malmquist-type theorems on some complex differential-difference equationsXu Hong Yan0Li Hong1Yu Meiying2College of Arts and Science, Suqian University, Suqian, Jiangsu 223800, P. R. ChinaSchool of Mathematics and Computer Science, Gannan Normal University, Ganzhou, Jiangxi 341000, P. R. ChinaSchool of Mathematics, Qilu Normal University, Shandong, Jinan 250200, P. R. ChinaThis article is devoted to study the existence conditions of solutions to several complex differential-difference equations. We obtain some Malmquist theorems related to complex differential-difference equations with a more general form than the previous equations given by Zhang, Huang, and others. Moreover, some examples are provided to demonstrate why some restrictive conditions in some of our theorems cannot be removed.https://doi.org/10.1515/math-2022-0475malmquist-typedifferential-difference equationexistence39a1339b7230d35
spellingShingle Xu Hong Yan
Li Hong
Yu Meiying
Malmquist-type theorems on some complex differential-difference equations
Open Mathematics
malmquist-type
differential-difference equation
existence
39a13
39b72
30d35
title Malmquist-type theorems on some complex differential-difference equations
title_full Malmquist-type theorems on some complex differential-difference equations
title_fullStr Malmquist-type theorems on some complex differential-difference equations
title_full_unstemmed Malmquist-type theorems on some complex differential-difference equations
title_short Malmquist-type theorems on some complex differential-difference equations
title_sort malmquist type theorems on some complex differential difference equations
topic malmquist-type
differential-difference equation
existence
39a13
39b72
30d35
url https://doi.org/10.1515/math-2022-0475
work_keys_str_mv AT xuhongyan malmquisttypetheoremsonsomecomplexdifferentialdifferenceequations
AT lihong malmquisttypetheoremsonsomecomplexdifferentialdifferenceequations
AT yumeiying malmquisttypetheoremsonsomecomplexdifferentialdifferenceequations