A NOTE ON THE OSCILLATION CRITERIA OF SOLUTIONS TO SECOND ORDER NONLINEAR DIFFERENTIAL EQUATION

Kim, Yong-Ki; Kim, Yong-Ki

P-ISSN1226-0657
E-ISSN2287-6081
KCI

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Vol.2 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

1995, v.2 no.1, pp.53-59

Kim, Yong-Ki

Kim,, Y. (1995). . Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 2(1), 53-59.

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Abstract

Consider a solution y(t) of the nonlinear equation (E) y" ＋ f(t, y) = 0. A solution y(t) is said to be oscillatory if for every T ＞ 0 there exists <TEX>$t_{0}$</TEX> ＞ T such that y(<TEX>$t_{0}$</TEX>) = 0. Let F be the class of solutions of (E) which are indefinitely continuable to the right, i.e. y <TEX>$\in$</TEX> F implies y(t) exists as a solution to (E) on some interval of the form [t<TEX>$\sub$</TEX>y/, <TEX>$\infty$</TEX>). Equation (E) is said to be oscillatory if each solution from F is oscillatory.(omitted)

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Article Contents

Vol.2 No.1

Abstract

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