ecuatia y''=yf(x) nu are solutii in intervalul [0,1]

Post Reply
User avatar
Cezar Lupu
Site Admin
Posts: 612
Joined: Wed Sep 26, 2007 2:04 pm
Location: Bucuresti sau Constanta
Contact:

ecuatia y''=yf(x) nu are solutii in intervalul [0,1]

Post by Cezar Lupu »

Fie \( f:[0,1]\to\mathbb{R} \) o functie continua si strict pozitiva. Sa se arate ca ecuatia \( y\prime\prime = y f(x) \)
nu are solutii nenule pe \( [0,1] \) astfel incat \( y(0)=0 \) si \( y(1)=0 \).
An infinite number of mathematicians walk into a bar. The first one orders a beer. The second orders half a beer. The third, a quarter of a beer. The bartender says “You’re all idiots”, and pours two beers.
Post Reply

Return to “Ecuatii diferentiale ordinare”