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

Volume
6, # 1, 1991

This collection contains
the reports which were delivered on April 23-26, 1990 at the section of Partial
Differential Equations of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics.

Chairman of seminar

*L. Magnaradze*

Edited by

*T. Jangveladze*

C O N T E N T S

**Avazashvili**** N.** On One Singular Integral
Equation.

**Bitsadze**** R.** On the Global Solvability of
Caoushi Problem’s for the One Class of Non-Linear
Oscillation Equations.

**Vasadze**** A.** On the Boundary Value Problem of Vekua Theory Of Covers With The Ereditarity.

**Devdariani**** G. **On a Spectral
Problem for One Degenerated Differential Equation of

**Jaiani**** G. **On the General Holmgren
Problem for the Equation y∆ u+bu_{y}=0
in the Half-Circle

**Jangveladze**** T. **On the Investigation and Numerical
Solution of Some Systems of Non-Linear Partial Differential Equations.

**Evlahov**** N., Chistiakov
V.** On One System of Non-Linear EquationsConnected
with Semiconductor Theory.

**Jura**** N.** Non-Local Boundary Value Problems for the
Elliptical Systems.of Bitsadze-Samarski
Type.

**Ilashvili**** T., Shulaia D.** On One Boundary Value For the Light Dispertion Equaton.

**Kalashnikov A.** On the Conditions of Inner
Limitation of the Components of the Solutions of the Semi-Parabolic Systems With the Growing Boundary Conditions.

**Kojanov**** A .** On the Boundary
Value Problems for Some Third-Order Equations of a "Variable" Tape.

**Magnaradze**** L.** On One Elliptic System of
Partial Differential Equations.

**Odisharia**** V. **On a Local Solution of One Equation and it’s application .

**Rutcauscas**** S. **On a Correctness of Problems of Dirichlet’s Type for the Elliptic Equation System With Strong Singularity.

**Soldatov**** A.** On Diriclet
Problem for an Elliptic System in the Piecewise Domain.

**Sohadze**** R.** On Dirichlet Problem
for the Mixed Type Equation With the Weight Condition
Across the Hyperbolic Degeneration.

**Tavkhelidze**** I.**

**Terentiev**** A. **On the Fundamental Solution of
Boundary Riyman-Hylbert’s Boundary Value Problem in
the Strip.

**Kharibegashvili**** S.** On the Solvability of One Characteristic
Problem for the Second Order Normally Hyperbolic Systems With
a Order’s Degeneration.

**Chelkak**** S.** On the Weak Singularity of
Solution of Kvasilinear Elliptic Systems.

**Ebanoidze**** T.** On a General Class of Non-Linear Integral
Equations With the Ficsed
Singularity.

**Ianushauscas**** A .** On the Generalisation
of the Multi-Dimentional Analogous of A.Bitsadze’s System.