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In this paper, we consider the growth of entire solutions of differential–difference equations of certain types. We also consider the growth of meromorphic solutions of complex linear difference equations of certain types and derive a result, which is a supplement of previous theorems given by Chen (J Math Anal Appl 373:235–241, 2011). Our additional purpose is to give a difference analogues of Brück...
We study the non-existence of finite order meromorphic solutions to the Fermat-type difference equation $${f^3(z)+f^3(z+c)=1}$$ f 3 ( z ) + f 3 ( z + c ) = 1 over the complex plane C. An application to the unique range set problem is discussed.
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