INTEGRAL CHARACTERIZATION OF THE PRINCIPAL SOLUTION O HALF-LINEAR SECOND ORDER DIF ERENTIAL EQUATIONS

Abstract

Under some restrictions on the functions r (t)and c (t),a nontrivial solution x (t)of the nonoscillatory half-linear second order diferential equation: is principal if and only if… In case p =2 the criterion (*)reduces to a Hartman result on the principal solutions of the Sturm –Liouville di .erential equations.