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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