Meromorphic solutions to non-linear differential-difference equations
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 abov...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2018-04-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2018/93/abstr.html |