Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Liangwen Liao"'
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
The main purpose of this paper is to investigate the growth order of the meromorphic solutions of complex functional difference equation of the form (∑λ∈Iαλ(z)(∏ν=1nf(z+cν)lλ,ν))/(∑μ∈Jβμ(z)(∏ν=1nf(z+cν)mμ,ν))=Q(z
Externí odkaz:
https://doaj.org/article/ba7f4816bfd84013ac36ee153b2c2aea
Publikováno v:
Computational Methods and Function Theory. 23:87-100
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d829f0bb7b10ad66c1b9f36c911c9647
https://doi.org/10.1007/s40315-022-00450-8
https://doi.org/10.1007/s40315-022-00450-8
Autor:
Liangwen Liao, Jie Zhang
Publikováno v:
Complex Variables and Elliptic Equations. 67:2553-2568
In this paper, we are mainly concerned with one certain type of non-linear complex differential equation fn(z)+Pd(z,f)=p1eα1z+p2eα2z, where p1,p2,α1,α2 are non-zero constants and Pd(z,f) is a diffe...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::120bd67d804aa59570018cc349859b49
https://doi.org/10.1080/17476933.2021.1939319
https://doi.org/10.1080/17476933.2021.1939319
Autor:
Yongyi Gu, Liangwen Liao
Publikováno v:
International Journal of Modern Physics B. 36
In this paper, the closed form solutions of Gerdjikov–Ivanov equation with the beta derivatives are studied. This equation has quintic nonlinearity coefficients and group velocity dispersion, which shows the pulse behaviors in nonlinear fiber optic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::71a1576c7049ca076d12d43881c2276f
https://doi.org/10.1142/s0217979222501168
https://doi.org/10.1142/s0217979222501168
Publikováno v:
Chinese Annals of Mathematics, Series B. 41:383-396
This paper deals with the Briot-Bouquet differential equations with degree three. The previous result shows that all the meromorphic solutions belong to W. Here, by applying the Kowalevski-Gambier method, the authors give all the possible explicit me
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f6a0c1e62ac2b33dde88dbe7d1dac752
https://doi.org/10.1007/s11401-020-0205-x
https://doi.org/10.1007/s11401-020-0205-x
Publikováno v:
Qualitative Theory of Dynamical Systems. 21
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3f3ec2bf5ff1577db64ab3526a554680
https://doi.org/10.1007/s12346-021-00550-1
https://doi.org/10.1007/s12346-021-00550-1
Publikováno v:
Bulletin of the Malaysian Mathematical Sciences Society. 43:2045-2063
Let P(z) be a nonconstant polynomial, and let f(z) be an entire function, whose zeros have multiplicity at least 3. If $$\sin z$$ is a small function with respect to f(z), then $$f'(z)-P(z)\sin z$$ has infinitely many zeros on the complex plane.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4eabca5923e9b267f1f2bf946dbd89da
https://doi.org/10.1007/s40840-019-00789-7
https://doi.org/10.1007/s40840-019-00789-7
Autor:
Liangwen Liao, Xianjing Dong
Publikováno v:
Journal of Mathematical Analysis and Applications. 470:327-339
We consider meromorphic solutions to general differential-difference equation of type L ( z , f ) + ∑ j = 1 q c j ( z ) f n j ( z + ζ j ) = ∑ j = 1 r γ j e λ j z , where L ( z , f ) ≢ 0 is a linear differential-difference polynomial of f wit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::30257d86ad4bddb776ab3301ab1d0245
https://doi.org/10.1016/j.jmaa.2018.10.005
https://doi.org/10.1016/j.jmaa.2018.10.005
Autor:
Liangwen Liao, Chengfa Wu
This paper studies exact meromorphic solutions of the autonomous Schwarzian differential equations. All transcendental meromorphic solutions of five canonical types (among six) of the autonomous Schwarzian differential equations are constructed expli
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5280bd511d5f7cfbdb50c18a58da4ade
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 39:5185-5206
In this paper, we investigate the dynamics of the following family of rational maps \begin{document}$ \begin{equation*} f_{\lambda}(z) = \frac{z^{2n} - \lambda^{3n+1}}{z^n(z^{2n} - \lambda^{n - 1})} \end{equation*} $\end{document} with one parameter
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e98eb4cf9369cf424d7bab4d461ac891
https://doi.org/10.3934/dcds.2019211
https://doi.org/10.3934/dcds.2019211