ON THE SOLUTIONS OF THREE ORDER DIFFERENTIAL EQUATION WITH NON-NEGATIVE COEFFICIENTS

Cho, In-Goo; Cho, In-Goo

P-ISSN1226-0657
E-ISSN2287-6081
KCI

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Vol.3 No.1

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

1996, v.3 no.1, pp.47-52

Cho, In-Goo

Cho,, I. (1996). . Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 3(1), 47-52.

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Abstract

We consider the third order linear homogeneous differential equation L<TEX>$_3$</TEX>(y) = y(equation omitted) ＋ P(<TEX>$\chi$</TEX>)y' ＋ Q(<TEX>$\chi$</TEX>)y = 0 (E) P(<TEX>$\chi$</TEX>) <TEX>$\geq$</TEX> 0, Q(<TEX>$\chi$</TEX>) ＞ 0 and P(<TEX>$\chi$</TEX>)/Q(<TEX>$\chi$</TEX>) is nondecreasing on [<TEX>${\alpha}$</TEX>, <TEX>$\infty$</TEX>) for some real number <TEX>${\alpha}$</TEX>. (1) In this paper we discuss the distribution of zeros of solutions and a condition of oscillatory for equation (E).(omitted)

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Article Contents

Vol.3 No.1

Abstract

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics