Results 11 to 20 of about 288 (167)
Meromorphic solutions of a first order differential equations with delays
Comptes Rendus. Mathématique, 2022 The main purpose of this paper is to study meromorphic solutions of the first order differential equations with delays \begin{equation*} w(z+1)-w(z-1)+a(z)\left(\frac{w^{\prime }(z)}{w(z)}\right)^k=R(z,w(z)) \end{equation*} and \begin{equation*} w(z+1)
Chen, Yu, Cao, Tingbin
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On the meromorphic solutions of an equation of Hayman
Journal of Mathematical Analysis and Applications, 2003 A classical result of \textit{A. A. Gol'dberg} [Ukrain. Math. Zh. 8, 254--261 (1956; Zbl 0072.09202)] says that meromorphic solutions to first-order algebraic differential equations have finite order of growth. This result has been extended to certain higher-order differential equations by various authors. \textit{W. K. Hayman} [Atti Accad. Naz. Lincei,
Chiang, Yik Man MATH, Halburd, RG
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On the Complex Oscillation of Meromorphic Solutions of Nonhomogeneous Linear Differential Equations with Meromorphic Coefficients [PDF]
Discrete Dynamics in Nature and Society, 2020 In this paper, we study the higher order differential equation f k
Chuang-Xin Chen +2 more
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On zeros and growth of solutions of complex difference equations
Advances in Difference Equations, 2021 Let f be an entire function of finite order, let n ≥ 1 $n\geq 1$ , m ≥ 1 $m\geq 1$ , L ( z , f ) ≢ 0 $L(z,f)\not \equiv 0$ be a linear difference polynomial of f with small meromorphic coefficients, and P d ( z , f ) ≢ 0 $P_{d}(z,f)\not \equiv 0$ be a ...
Min-Feng Chen, Ning Cui
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Meromorphic Solutions of Algebraic Difference Equations [PDF]
Constructive Approximation, 2017 It is shown that the difference equation \begin{equation}\label{abseq} (Δf(z))^2=A(z)(f(z)f(z+1)-B(z)), \qquad\qquad (1) \end{equation} where $A(z)$ and $B(z)$ are meromorphic functions, possesses a continuous limit to the differential equation \begin{equation}\label{abseq2} (w')^2=A(z)(w^2-1),\qquad\qquad (2) \end{equation} which extends to solutions ...
Ishizaki, Katsuya, Korhonen, Risto
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Meromorphic solutions of P_4,34 and their value distribution
Annales Academiae Scientiarum Fennicae Mathematica, 2016 The authors are concerned with the value distribution of meromorphic solutions of Painlevé equations, in particular, \(P_2\), \(P_4\) and the unified equation \(P_{4,34}\) (or \(P_{4,34}(\alpha,\beta,\gamma)\)) \[ f''=\frac{(f')^2}{2f}-\frac{\alpha}{2f}+\beta f(2f+z)+\gamma f(f+z)(3f+z).
Ciechanowicz, Ewa, Filipuk, Galina
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Further Results about a Special Fermat-Type Difference Equation
Journal of Function Spaces, 2020 In this paper, we prove the difference equation Fz3+ΔcFz+c3=1 does not have meromorphic solution of finite order over the complex plane C. We also discuss an application to the unique range set problem.
Hongwei Ma, Jianming Qi, Zhenjie Zhang
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Subclasses of Multivalent Meromorphic Functions with a Pole of Order p at the Origin
Mathematics, 2022 In this paper, we carry out a systematic study to discover the properties of a subclass of meromorphic starlike functions defined using the Mittag–Leffler three-parameter function.
Daniel Breaz +2 more
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On meromorphic solutions of algebraic differential equations [PDF]
Transactions of the American Mathematical Society, 1980 The Malmquist Theorem is generalized for equations of the type R ( z ,
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Mathematics, 2022 The Dbar-dressing method is extended to investigate the derivative non-linear Schrödinger equation with non-zero boundary conditions (DNLSENBC). Based on a meromorphic complex function outside an annulus with center 0, a local Dbar-problem inside the ...
Hui Zhou, Yehui Huang, Yuqin Yao
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