Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics

Volume 1, # 3, 1985

This collection contains the reports which were delivered on April 23-27, 1985 at the section of Ordinary Differential Equations of enlarged session of the seminar of I. Vekua Institute of Applied Mathematics.

Chairman of seminar

- L. Magnaradze

Edited by

- I. Kiguradze

**C O N T E N T S**

**Astashova I.V.** On the asimptotic behavior of the solutions of some nonlinear differential equations.

**Bogatirev S.V., Strigin V.V.** On a movement of the conduct solid body near mass center in the magnetic field.

**Bogdanova M.I.** The kriterion of the stability of partial differential systems.

**Bulgakov A.I.** On the oscillation of solutions of second order differential systems.

**Vasiliev N.I.** One boundary value problem with the quadric non-linearity.

**Gegelia G.T.** On one class of the nonlinear two-point boundary value problem.

**Golokvoschus P.B.** Asymptotics of norms of fundamental matrix of the diturbed confluent system of differential equations.

**Domoshnitzki A.I.** On the lative behavior of the first order equation with the dalaied argument.

**Drakhlin M.E.** On Kochi's matrix of the functional-differential equation.

**Egorov I.V., Kondratiev V.A.** On the exect estimation of the first eigen-value of Shturm-Liuville problem.

**Izobov N.A.** On continues and non-continues solutions of Emden-Fauler’s equation.

**Kvinikadze G.G.** On Knezer's solutions of nonlinear ordinary differential equations.

**Kiguradze I.T.** On multi-point boundary value problems for a systems of ordinary differential equations.

**Kozlov R.I.** On the theory of differential equations with Vagevski condition.

**Koplatadze R.G.** On the oscillation of solutions of high order differential equation.

**Kostin A.V., Shchegolev S.A.** On differential systems conteins slowly change parametrs.

**Labovski S.M.** On positive solutions of the linear singular two-point boundary value problem.

**Lepin A.I.** The generalized solvability of the two-point boundary value problem’s for the second order equation.

**Lepin L.A.** The method of upper and lower functions for differential equations.

**Lomtatidze A.G.** On the solvability of boundary value problems for non-linear second ordes differential equations with a singularity.

**Maksimov V.P.** A priori inequalities in the theory of functional-differential equations.

**Millionshchikov V.M.** A typical property of Liapunov's stability.

**Mirzov D.D.** An asymptotic property of the solution of Emden-Fauler’s nonlinear system.

**Mitropolski I.A., Samoilenko I.M., Perestuk N.A.** The canonical form of one class of differential equations with the impulse influense.

**Nadareishvili V.A.** On oscillated and monotone solutions of second-order differential equations with delayed argument.

**Nozadze G.T**. On the bifurcation of stationary solutions of the solid body movement equations.

**Ordinskaia Z.P.** On the behavior of solutions of differential equations sysdtem with a delay.

**Paatashvili D.V.** On unlimited solutions of a linear second-order differential equation with the delayed argument.

**Reizin L.E.** An exeptial directions and exeptial conics.

**Rozov N.Kh., Sushko V.G.** On some singular disturbed boundary value problems.

**Rumiantsev A.N.** On one method of construction the estimation of solutions of a linear differential equations system.

**Skhaliako Ch.A. **On nulls of solutions of one system of two differential equations with alternatic coefficients.

**Tadumadze T.A., Tavadze A.V.** On a continuity of the minimum of a functional in optimal problems of neitral type.

**Khvedelidze N.N.** On Knezer's problem for third order linear differential equations.

**Chanturia T.A.** On specific sighs an oscillation of solutions of Emden-Fauler’s differential equations with delayed argument.

**Cheban D.N.** Dissipative dynamic systems.

**Shekhter B.L**. On one boundary value problem for the semi-axis.