ON THE EXISTENCE OF SOLUTIONS WITH PRESCRIBED NUMBER OF ZEROS TO REGULAR NONLINEAR EMDEN - FOWLER TYPE THIRD-ORDER EQUATION WITH VARIABLE COEFFICIENT

Abstract

A third order Emden - Fowler type equation is considered. Existence of solution with given number of zeros on given interval is proved. This theorem extends previous results, related to Emden - Fowler type equation with constant coefficient, in case of variable coefficient.