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Results tagged with ca.classical-analysis-and-odes
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user 25005
Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.
1
vote
0
answers
168
views
differential inequality
Hi everyone, could someone help me give a characterization of $\Psi(z)$ such that
$$8\Psi''-4\frac{(\Psi')^2}{\Psi}-\theta(\Psi')^2\geq 0,\ \ \forall z\in\mathbb{R}$$
where
$$\Psi=\Psi(z),\ \ \Psi' …
- 69
1
vote
0
answers
99
views
characterization of a differential inequality
Hi everyone, does someone have an idea to describe the class of functions $\Psi(z)$ satisfying
$$\Psi\in\mathcal{C}^2: z\in\mathbb{R}\rightarrow\Psi(z)\in\mathbb{R}_+$$
$$1-\frac{z\Psi'(z)}{\Psi(z)} …
- 69