Article ID Journal Published Year Pages File Type
4621004 Journal of Mathematical Analysis and Applications 2008 7 Pages PDF
Abstract
By utilizing Nevanlinna's value distribution theory of meromorphic functions, we solve the transcendental entire solutions of the following type of nonlinear differential equations in the complex plane:fn(z)+P(f)=p1eα1z+p2eα2z, where p1 and p2 are two small functions of ez, and α1, α2 are two nonzero constants with some additional conditions, and P(f) denotes a differential polynomial in f and its derivatives (with small functions of f as the coefficients) of degree no greater than n−1.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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