Positive coefficients case and oscillation
Ján Ohriska
Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 18 (1998), p. 5-17 / Harvested from The Polish Digital Mathematics Library
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We consider the second order self-adjoint differential equation (1) (r(t)y’(t))’ + p(t)y(t) = 0 on an interval I, where r, p are continuous functions and r is positive on I. The aim of this paper is to show one possibility to write equation (1) in the same form but with positive coefficients, say r₁, p₁ and to derive a sufficient condition for equation (1) to be oscillatory in the case p is nonnegative and ∫∞[1/r(t)]dt converges.

Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:275896 
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     year = {1998},
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     zbl = {0931.34021},
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Ján Ohriska. Positive coefficients case and oscillation. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 18 (1998) pp. 5-17. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-div18i1-2n1bwm/

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