guido giuliani

304 reputation

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visits	member for	1 year, 2 months
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	304 reputation	bio	website		visits	member for	1 year, 2 months
16 badges		location			seen	Feb 4 at 18:44

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Mar 2	awarded	Yearling
Feb 4	accepted	Find all the functions which satisfy a given functional equation
Feb 2	revised	Find all the functions which satisfy a given functional equation edited body
Feb 2	comment	Find all the functions which satisfy a given functional equation @DejanGovc I was editing while I received your post. Please check it again
Feb 2	revised	Find all the functions which satisfy a given functional equation added 123 characters in body
Feb 2	comment	Find all the functions which satisfy a given functional equation @Alex did you assume $f(0)=0$ in your solution? Because then I'm pretty sure that $f(0)=-1$ is also possible. My apologies since I inverted $x,y$ in the first term of the equation. Please check the edited version. Still my apologies. BTW in this case setting $x=y=0$ gives $f(f(0))=f(0)^2+f(f(0))+f(0)$ from which $f(0)\in \{-1,0\}$.
Feb 2	asked	Find all the functions which satisfy a given functional equation
Dec 5	asked	Unusual Compact Embeddings
Nov 13	asked	solution of Lagrange differential equation are square integrable
Nov 5	revised	Ordering of two weak star limits added 492 characters in body
Nov 5	comment	Ordering of two weak star limits lol you are right...
Nov 5	asked	Ordering of two weak star limits
Oct 29	accepted	At most three different eigenvalues
Oct 29	comment	At most three different eigenvalues @GerryMyerson I'm following the language introduced in the Birkhoff Rota Ordinary differential equation book and you can define the operator $L[u]=u'+q(x)u$ so for $\lambda$ to be an eigenvalue it means that $L[u]=\lambda u$ has a non trivial solution $u$.
Oct 29	comment	At most three different eigenvalues @JuliánAguirre it is $u'$, it is a first order DE
Oct 29	asked	At most three different eigenvalues
Oct 29	comment	airy equation vanish infinitely many times nice. Didn't know about this one. Can we solve the exercise without using that theorem?
Oct 29	accepted	airy equation vanish infinitely many times
Oct 28	asked	airy equation vanish infinitely many times
Oct 17	accepted	Quick criterion to decide whether a limit of functions in $W^{1,p}(\Omega)$ is in that space