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ACOMS+ 및 학술지 리포지터리 설명회

  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
  • 2024년 07월 03일(수) 13:30
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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.2 No.1

Citation Share

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

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics Education Dong Guk University)
Kim, Yong-Ki. (1995). A NOTE ON THE OSCILLATION CRITERIA OF SOLUTIONS TO SECOND ORDER NONLINEAR DIFFERENTIAL EQUATION. 한국수학교육학회지시리즈B:순수및응용수학, 2(1), 53-59.

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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한국수학교육학회지시리즈B:순수및응용수학

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