Entire and meromorphic solutions for systems of the differential difference equations

• Autorzy: Xu Hong Yan , Li Hong , Ding Xin

Identyfikatory

DOI

10.1515/dema-2022-0161

• Języki publikacji: EN

Abstrakty

EN

With the help of the Nevanlinna theory of meromorphic functions, the purpose of this article is to describe the existence and the forms of transcendental entire and meromorphic solutions for several systems of the quadratic trinomial functional equations: {f(z)2+2αf(z)g(z+c)+g(z+c)2=1,g(z)2+2αg(z)f(z+c)+f(z+c)2=1, {f(z+c)2+2αf(z+c)g'(z)+g'(z)2=1,g(z+c)2+2αg(z+c)f'(z)+f'(z)2=1, and {f(z+c)2+2αf(z+c)g′′(z)+g′′(z)2=1,g(z+c)2+2αg(z+c)f′′(z)+f′′(z)2=1. We obtain a series of results on the forms of the entire solutions with finite order for such systems, which are some improvements and generalizations of the previous theorems given by Gao et al. Moreover, we provide some examples to explain the existence and forms of solutions for such systems in each case.

Słowa kluczowe

EN

Nevanlinna theory; meromorphic function; differential-difference equations

PL

teoria Nevanlinny; funkcja meromorficzna; równanie różniczkowe

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2022
• Tom: Vol. 55, nr 1
• Strony: 676--694
• Opis fizyczny: Bibliogr. 28 poz.

Twórcy

autor

Xu Hong Yan

• College of Arts and Sciences, Suqian University, Suqian, Jiangsu 223800, P. R. China
• School of Mathematics and Computer Science, Shangrao Normal University, Shangrao Jiangxi, 334001, P. R. China
• School of Mathematics and Computer Science, Gannan Normal University, Ganzhou, Jiangxi 341000, P. R. China

autor

Li Hong

• School of Mathematics and Computer Science, Gannan Normal University, Ganzhou, Jiangxi 341000, P. R. China

autor

Ding Xin

• School of Mathematics and Computer Science, Shangrao Normal University, Shangrao Jiangxi, 334001, P. R. China

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).