We obtain sufficient conditions for the oscillation of all solutions of the linear partial difference equations with positive and negative coefficients of the form ...

The study of Kirchhoff type equations, a nonlocal extension of classical partial differential equations, has gained considerable momentum in recent years. These equations incorporate integral ...

A cornerstone of modern physics is mathematics. Like it or not, without the tools provided to physicists by mathematics, physics would be dead in the water. But (and this is something that all of us ...

Liouville theorems have long been a cornerstone in the study of partial differential equations, offering fundamental insights into the nonexistence of non-trivial solutions under specific growth or ...

The Tricomi equation can be expressed in symmetric positive form. Admissible boundary conditions assure existence and uniqueness of solutions. In this paper it is shown what boundary conditions are ...

Coordinates are used to describe the position of points on a grid. The main horizontal line on the grid is known as the x-axis and the main vertical line is the y-axis. Both axes are number lines with ...