Toronto Math Forum
Welcome,
Guest
. Please
login
or
register
.
1 Hour
1 Day
1 Week
1 Month
Forever
Login with username, password and session length
News:
Home
Help
Search
Calendar
Login
Register
Toronto Math Forum
»
APM346-2016F
»
APM346--Lectures
»
Chapter 4
»
HA 6, problem 1c of sections 4.1 and 4.2
« previous
next »
Print
Pages: [
1
]
Author
Topic: HA 6, problem 1c of sections 4.1 and 4.2 (Read 137 times)
Shaghayegh A
Full Member
Posts: 21
Karma: 0
HA 6, problem 1c of sections 4.1 and 4.2
«
on:
November 14, 2016, 02:03:24 PM »
Problem 1c asks to investigate how many negative eigenvalues there are:
http://www.math.toronto.edu/courses/apm346h1/20169/PDE-textbook/Chapter4/S4.2.P.html#mjx-eqn-a
I understand that we have the hyperbola $$\alpha + \beta+ \alpha \beta l=0$$ which divides the $(\alpha,\beta)$ plane into three zones, as he problem states. But how does that actually help us find the number of negative eigenvalues?
Logged
Victor Ivrii
Administrator
Elder Member
Posts: 1332
Karma: 0
Re: HA 6, problem 1c of sections 4.1 and 4.2
«
Reply #1 on:
November 15, 2016, 06:59:42 AM »
Look in the textbook:we just need to calculate the number of eigenvalues at the point of our choice in each region
Logged
Print
Pages: [
1
]
« previous
next »
Toronto Math Forum
»
APM346-2016F
»
APM346--Lectures
»
Chapter 4
»
HA 6, problem 1c of sections 4.1 and 4.2