This article is focused on exploring finite order transcendentalentire solutions of some non-linear homogeneous differential equations involving \(q\mbox{-}c\) -shift. Our findings are improvements and extensions of some existing resultsin this area, supported by examples. In the last section we are concerned withthe solutions of the \(q\mbox{-}c\) -shift difference equation. We have elucidated that ourgeneralized structured \(q\mbox{-}c\) -shift difference equations allow the existence of higherorder solutions which provides the practical implications of the structure and thussignificantly extend some earlier results in the literature.
