Given an algebraic differential equation of order greater than one, it is shown that if there any nontrivial relation amongst number distinct nonalgebraic solutions, along with their derivatives, then already such a between three solutions. In the autonomous situation when over constant parameters assumption be one can dropped, and exists two These theorems are deduced as application following ...

In this paper, applying two theorems of Ricceri and Bonanno, we will establish the existence of three weak solutions for a quasilinear elliptic system. Indeed, we will assign a differentiable nonlinear operator to a differential equation system such that the critical points of this operator are weak solutions of the system. In this paper, applying two theorems of R...