**George Kvinikadze**

## On Some Boundary Value Problems for High Order Ordinary Differential Equations

**abstract:**

Singular boundary value problems are considered for high order nonlinear
equations in the case where the right-hand side may have singularities
both in independent and phase variables. Existence, uniqueness theorems
are proved. A priori asymptotic estimates of solutions are obtained.
The obtained problems, in the case of the second order, involve those arising
while studying the flow of a viscuous fluid when written in the so-called
Crocco variables.

**Mathematics Subject Classification:**
34B15.

**Key words and phrases:**
Singular boundary value problem, existence,
uniqueness, asymptotic estimates.