entire solutions for nonlinear differential-difference equations
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ID: 204617
2015
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Abstract
In this article, we study entire solutions of the nonlinear
differential-difference equation
$$
q(z)f^{n}(z)+a(z)f^{(k)}(z+1)=p_1(z)e^{q_1(z)}+p_2(z)e^{q_2(z)}
$$
where $p_1(z)$, $p_2(z)$ are nonzero polynomials, $q_1(z)$, $q_2(z)$ are
nonconstant polynomials, $q(z)$, $a(z)$ are nonzero entire functions
of finite order, $n\geq2$ is an integer. We obtain additional results for
case: $n=3$, $q_1(z)=-q_2(z)$, and $p_1(z)$, $p_2(z)$ nonzero constants.
| Reference Key |
xu2015electronicentire
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|---|---|
| Authors | ;Na Xu;Ting-Bin Cao;Kai Liu |
| Journal | icsoft 2006 - 1st international conference on software and data technologies, proceedings |
| Year | 2015 |
| DOI |
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|
| URL | |
| Keywords | Keywords not found |
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