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Meromorphic Solutions of Nonlinear Systems of Fermat Type
We give the alternative proofs to consider Fermat systems of complex differential or difference or delay-differential equations. In addition, we also...
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Meromorphic Solutions for the Fermat-Type Differential-Difference Equations
AbstractIn this paper, we study the existence of meromorphic solutions of hyperorder strictly less than 1 to the Fermat-type differential-difference...
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On Meromorphic Solutions of the Fermat Type Difference Equations
In this paper, we discuss the form and related properties of meromorphic solutions of hyper-order strictly less than 1 to Fermat type difference...
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On Meromorphic Solutions of Nonlinear Complex Differential Equations
By utilizing Nevanlinna theory of meromorphic functions, we characterize meromorphic solutions of the following nonlinear differential equation of...
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Explicit Meromorphic Solutions of a Second Order Briot–Bouquet Differential Equation
In this paper, a special second-order Briot–Bouquet differential equation is studied. We construct explicit meromorphic solutions by the...
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On Meromorphic Solutions of the Systems of Linear Differential Equations with Meromorphic Coefficients
For systems of linear differential equations whose dimensionality can be reduced, we obtain estimates for the growth rate of meromorphic vector...
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Existence of meromorphic solutions of systems of partial differential–difference equations
In this paper, we show a sufficient condition on the existence of admissible meromorphic solutions of system of complex partial delay differential...
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Remarks on Meromorphic Solutions of Some Delay-Differential Equations
In this paper, we consider meromorphic solutions of delay-differential equations. For equations of some particular form, our focus is to looking at...
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On Uniqueness of Meromorphic Solutions to Delay Differential Equation
AbstractIn this paper, we investigate uniqueness of finite-order transcendental meromorphic solutions of the following two equations:
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On the Properties of Meromorphic Solutions to Difference Equations and Gamma-Type Solutions
We pose the problem of finding meromorphic solutions to a difference equation, reveal the geometric properties of their polar sets, and describe...
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Meromorphic Solutions of a Certain Type of Nonlinear Differential Equations
In this paper, using Nevanlinna theory and linear algebra, we characterize transcendental meromorphic solutions of nonlinear differential equation of...
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The Growth of Meromorphic Solutions of a Class of Delay-Differential Equations
We obtain necessary conditions for certain type of rational delay-differential equations to allow the existence of a non-rational meromorphic...
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Closed Meromorphic 1-Forms
We review properties of closed meromorphic 1-forms and of the foliations defined by them. We present and explain classical results from foliation...