In this paper the authors classified all solutions of the following equation Δ( aₙ( Δ(xₙ+cₙxₙ₋ₖ)) α)+pₙf(xₙ₋ₗ)-qₙg(xₙ₋ₘ) = 0 into four classes and obtain conditions for the existence/nonexistence of solutions in these classes. Examples are provided to illustrate the results. 2000 Mathematics Subject Classification. 39A11
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Thandapani et al. (2024) studied this question.
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