On transcendental meromorphic solutions of certain type of nonlinear algebraic differential equations

被引:0
作者
Zhang, Jianjun [1 ]
机构
[1] Jiangsu Second Normal Univ, Math & Informat Technol Sch, Nanjing 210013, Jiangsu, Peoples R China
关键词
algebraic differential equations; meromorphic solutions; growth order; poles;
D O I
10.1186/s13662-016-1030-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The main purpose of this paper is to give the forms of transcendental meromorphic solutions of nonlinear differential equation of the form f(n)f' + R(z) = p(1)(z)e(alpha 1(z)) + p(2)(z)e(alpha 2(z)), where R(z) is a rational function, p(1), p(2) are nonzero rational functions and alpha(1), alpha(2) are nonconstant polynomials. More precisely, we have shown the conditions concerning alpha(1)'/alpha(2)' that will ensure the existence of the possible meromorphic solutions of the above equation.
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页数:13
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