The oscillation of half-linear differential equations with an oscillatory coefficient

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/28019

Title:	The oscillation of half-linear differential equations with an oscillatory coefficient
Authors:	Hong,HL;Lian,WC;Yeh,CC
Contributors:	數學研究所
Date:	1996
Issue Date:	2010-06-29 19:40:18 (UTC+8)
Publisher:	中央大學
Abstract:	We derive lower bounds for the distance between consecutive zeros of a solution of the second order half-linear differential equation (\y'(t)\(alpha-1) y'(t))' + q (t) \y (t)\(alpha-1) y(t) = 0, when q(t) : [t(0), infinity) --> R is locally integrable far some t(0) greater than or equal to 0. Then we apply these results to the following equations: (p(t) \y'(t)\(alpha-1) y'(t))' + q(t) \y(t)\(alpha-1)y(t) = 0, and [GRAPHICS] where p is an element of C([t(0), infinity), (0, infinity)) and integral(t0)(infinity) p(t)(-1/alpha) dt = infinity; D-i = partial derivative/partial derivative x(i), D = (D-1,..., D-N), Omega t(0) = {x is an element of R(N) : \x\ greater than or equal to t(0)} is an exterior domain, and h is an element of C([t(0), infinity), R); and alpha > 0 is a constant; n > 1 and N greater than or equal to 2 are integers.
Relation:	MATHEMATICAL AND COMPUTER MODELLING
Appears in Collections:	[Graduate Institute of Mathematics] journal & Dissertation

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