2018
Том 70
№ 5

Strengthening of the Kneser theorem on zeros of solutions of the equation $u″ + q(t)u = 0$ using one functional equation

Slyusarchuk V. Yu.

Abstract

We present conditions under which a linear homogeneous second-order equation is nonoscillatory on a semiaxis and conditions under which its solutions have infinitely many zeros.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 12, pp 1978-1988.

Citation Example: Slyusarchuk V. Yu. Strengthening of the Kneser theorem on zeros of solutions of the equation $u″ + q(t)u = 0$ using one functional equation // Ukr. Mat. Zh. - 2010. - 62, № 12. - pp. 1705–1714.

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