On the Meromorphic Solutions of Certain Types of Non-Linear Differential-Difference Equations
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We investigate the existence of meromorphic solutions with finitely many poles to two types of non-linear differential-difference equations, which have two dominant terms f^3 and f^2f ′ , one dominant term f^2f ′ respectively. By using Nevanlinna theory and Limit operation, we extract out the form and the analytic properties of the solutions. The results imply that there exist different properties between the solutions of two types equations, and examples are constructed to show that our results are accurate. Our method is new.
Abstract
We investigate the existence of meromorphic solutions with finitely many poles to two types of non-linear differential-difference equations, which have two dominant terms f^3 and f^2f ′ , one dominant term f^2f ′ respectively. By using Nevanlinna theory and Limit operation, we extract out the form and the analytic properties of the solutions. The results imply that there exist different properties between the solutions of two types equations, and examples are constructed to show that our results are accurate. Our method is new.
참고문헌 (16)
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