@LeakyNun It is like this. Consider the initial value problem
$$y'' + p(t)y'+ q(t)y = g(t), y(t_0) = y_0, y'(t_0)=y_0'$$
where $p, q$, and $g$ are continuous on an open interval $I$ that contains the point $t0$.
Then there is exactly one solution $y = \phi(t)$ of this problem, and the solution exists throughout the interval $I$
I need to solve the quadratic programming problem $$ \text{minimize}\,\, \sum_{j=1}^{n}(x_{j})^{2} \\ \text{subject to}\,\,\, \sum_{j=1}^{n}x_{j}=1,\\ 0 \leq x_{j}\leq u_{j}, \, \, j=1,\cdots , n $$
I know that the first thing I need to do is form the Lagrangian.
Now, for a problem in standar...
Suppose I have the following function $H$:
$$H=\frac{f(a)}{1+f(a)+f(b)}-g(x),$$
where $f, g:\mathbb{R_+}\rightarrow \mathbb{R_+}$ are strictly increasing, continuous functions. For some arbitrary set of $f$, $H$ is concave over $a$ (including $f=id$, where $id$ is the identity function). Denoti...
