Abstract This paper studies the boundary value problem for a fourth-order difference equation with three quasidifferences. The new existence criterion of at least one solution to issues considered is obtained using theory variational methods. main result illustrated in some examples.

the aim of the present paper is to study the cu-water nanofluid flow and heat transfer characteristics of a stretching permeable cylinder. thermal radiation effect is considered in energy equation. the governing partial differential equations with the corresponding boundary conditions are reduced to a set of ordinary differential equations with the appropriate boundary conditions using similari...