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Entire solutions of nonlinear differential-difference equations. [PDF]
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Meromorphic Solutions for the Fermat-Type Differential-Difference Equations
Journal of Contemporary Mathematical AnalysisBy using Nevanlinna theory and its difference analogues, the authors study the entire solutions with hyper-order less than one to the following differential-difference equation \[ f(z)^{n}+(f'(z+c))^{m}=p(z)e^{r(z)}+q(z)e^{s(z)}. \] They classify the above equation into three cases: \begin{align*} f(z)^{n}+(f'(z+c))^{m}&=P_{1}(z)e^{A_{1}z^{k}}+Q_{1}(z ...
Zhu, X., Qi, X.
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Solutions of Complex Fermat-Type Partial Difference and Differential-Difference Equations
Mediterranean Journal of Mathematics, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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