ON THE SOLUTIONS OF THREE ORDER DIFFERENTIAL EQUATION WITH NON-NEGATIVE COEFFICIENTS
한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
1996, v.3 no.1, pp.47-52
Cho, In-Goo
Cho, In-Goo.
(1996). ON THE SOLUTIONS OF THREE ORDER DIFFERENTIAL EQUATION WITH NON-NEGATIVE COEFFICIENTS, 3(1), 47-52.
Abstract
We consider the third order linear homogeneous differential equation L$_3$(y) = y(equation omitted) + P($\chi$)y' + Q($\chi$)y = 0 (E) P($\chi$) $\geq$ 0, Q($\chi$) > 0 and P($\chi$)/Q($\chi$) is nondecreasing on [${\alpha}$, $\infty$) for some real number ${\alpha}$. (1) In this paper we discuss the distribution of zeros of solutions and a condition of oscillatory for equation (E).(omitted)