meromorphic solutions to non-linear differential-difference equations
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ID: 159824
2018
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Abstract
We consider the non-linear differential-difference equation
$$
c(z)w(z+1)+a(z)\frac{w'(z)}{w(z)}=R(z,w(z)),
$$
where R(z,w(z)) is rational in w(z) with rational coefficients,
a(z) and c(z) are non-zero rational functions. We give necessary
conditions on the degree of $R(z,w)$ for the above equation
to admit a transcendental meromorphic solution of hyper-order
$\rho_2(w)< 1$. We also consider the admissible rational solutions
of the above equation.
| Reference Key |
song2018electronicmeromorphic
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|---|---|
| Authors | ;Changjiang Song;Kai Liu;Lei Ma |
| Journal | icsoft 2006 - 1st international conference on software and data technologies, proceedings |
| Year | 2018 |
| DOI |
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| URL | |
| Keywords | Keywords not found |
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