Tagged Questions
0
votes
3answers
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Nonnegative function satisfying integral constraints
Find a real function $w(t)\in L_2[0,1]$ such that:
$w(t)\geq 0 \quad \forall t\in [0,1];$
$\displaystyle\int_0^{s}w(t)dt\leq s \quad \forall s\in [0,1];$
$\displaystyle \int_0^1 w(t)dt\leq 2;$
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1
vote
4answers
94 views
Finding a differentiable function satisfying some given conditions
Finding a differentiable function $g:\mathbb{R}\rightarrow \mathbb{R}$ satisfying the following condiotions:
$\displaystyle g(0)=0, g(1)=1, g(-1)=-1;$
$\displaystyle ...
