Extremals of functional $J = \int_{a}^{b} F(x, y, y^{'})$
34888
An MCQ for finding the extremal of the functional $J = \int_{a}^{b} F(x, y, y^{'})$
33308
Unique local extremum is absolute extremum for continuous functions
102764
Let $f(x)=\int_0^1|t-x|t~dt$ for all real $x$. Sketch the graph of $f(x)$, what is the minimum value of $f(x)$
13270
Prove $\exists \xi \in (a,b):f'(\xi)<1+f^2(\xi)$
93806
$\|f\|_{L^{p}}=\sup\left\{\int_{{\bf R}^{n}}|f(x)g(x)|~dx:\|g\|_{L^{q}}\le1\right\}$
8851
if $(x_0,y_0)$ is local extrema in $ax^2 + by^2 + cxy + dx + ey + l$ then its global too.
25953
Solving a functional relation $f\left( x \cdot f(y)\right)=x^2 \cdot y^a$
114982
How do I get that $|\int_a^b f| \le \int_a^b |f|$?
84318
A problem with the functional $F(\chi) = \int_{\mathbb{R}}(\chi'^2+\chi^2(1-\chi)^2)dx$.
142232
Functional Analysis. Continuous extensions of linear functionals.
18880
Distribution of extremal values
122073
Computing $\lim_{n \rightarrow\infty} \int_{a}^{b}\left ( f(x)\left | \sin(nx) \right | \right )$ with $f$ continuous on $[a,b]$
141852
Prove that $2\int_a^b \int_a^x f(x)f(y) \, dy \, dx = \left[ \int_a^b f(x) \, dx \right]^2$
32599
Solution to the functional equation $f(x^y)=f(x)^{f(y)}$
104914
Abount linear functional: If $T(B)$ is bounded, is $T$ bounded?
149287
Prove that $A,B>0$ and $A_{ij}0$
11744
Maximum and minimum of $f(x)=\cos(\sin(x))-\sin(\cos(x))$