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rockysheedy

Member

Registered: 2006-06-11

Posts: 12

Differential equation: Show that non trivial sol of D. E. has K 0's.

Question: - Consider the differential equation y" + Q(x)y = 0 where Q(x) is continuous on [a,b]. If Qm is the minimum value of Q(x) on [a,b] and Qm is greater than [k square pie square/ square of (b-a)] show that non trivial solution of the differential equation has at least K zeros on [a,b].

Solution:- What is the solution for this problem.