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

Author:

DoŠlÝ O.1,Elbert A.1

Affiliation:

1. 1 Please ask the editor of the journal.

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.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Reference13 articles.

1. Asymptotic behaviour of autonomous half-linear differential systems on the plane;Á. Elbert;Studia Sci. Math. Hungar.,1984

2. The Wronskian and the half-linear differential equations;Á. Elbert;Studia Sci. Math. Hungar.,1980

3. Principal solutions of nonoscillatory half-linear differential equations;Á. Elbert;Adv. Math. Sci. Appl.,1998

4. ELBERT, Á. and SCHNEIDER, A., Perturbation of the half-linear Euler differential equations, Resultate der Mathematik (to appear).

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