We describe meromorphic solutions to the equations $f^n(z)+\left(f'\right)^n(z)=e^{\alpha z+\beta}$ and $f^n(z)+f^n(z+c)=e^{\alpha z+\beta}$ ($c\neq0$) over the complex plane $\mathbf{C}$ for integers $n\geq1$.
On meromorphic solutions of functional equations of Fermat type
Meromorphic Solutions of Homogeneous and Non-homogeneous Higher Order Linear Difference Equations in Terms of (p,q)-Order
Lower Bound Estimates of the Order of Meromorphic Solutions to Non-Homogeneous Linear Differential-Difference Equations
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