AN ASYMPTOTIC MAJORANT FOR SOLUTIONS OF STURM–LIOUVILLE EQUATIONS IN $L_P(\mathbb{R})$

Abstract

Under certain assumptions on g(x), we obtain an asymptotic formula for computing integrals of the formas |x| → ∞. We use this formula to study the properties (as |x| → ∞) of the solutions of the correctly solvable equations in Lp(R), p ∈ [1, ∞],