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

Volume 2, # 1, 1986

This collection contains the reports which were delivered on April 21-23, 1995 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

- G. Jaiani

C O N T E N T S

**Magnaradze L.G.** On a complex analysis methods, used for solving mathematical problems for a non-homogeneous deformable body in the space.

**Abesadze T.P.** Ectimates of the remander term of the expaonsion for the solutions of the fundamental boundary value problems of the statistic termoelasticity in the non-homogeneous circle .

**Avazashvili N.D.** About the index of the singular integral equation.

**Banzuri R.D., Izakhanov R.C.** On one mixed boundary value problem of the analytical function theory.

**Gvazava D.K.** On the solutions of the non degenerate elliptical Dubreil-Jaioten equation.

**Gugushvili E.E., Lolashvili C.R., Nikolaishvili Sh.C.** On Vike problem of the transfer theory.

**Jaiani G.V**. On the influens of the first termson the boundary value problem for the elliptic equation with the degenerate degree.

**Kaldani N.V.** On one property of the solution of Karleman-Vekua equation with the parameter.

**Kapanadze D.G.** On the unique solution of the inverse problem of the potential theory.

**Lomtatidze T.G**. On the effective solutions of some boundary value problems for the semi-harmonic functions.

**Makatsaria.G.T.** On the influence of the geometry of area on the solution of the boundary valur problem.

**Ngo Van Liok.** On one differential boundary value problem of the linear conjugative for Q-holomorphic vectors.

**Obolashvili L.I.** Some systems of the differential equations of the wave type.

**Tavkhelidze I.N.** On the behaviour of the solutions of the elliptic equations in the unbounded domains.

**Usanetashvili M.A**. On the problem of the inclined derivative for the Lavrentiev-Bitzadze equation.

**Tsuladze R.M.** On a solvability of one characteristic problem for the linear hyperbolic equations of the high degree.

**Chalidze A.K., Japaridze D.A.** The estimate of the remander terms of the expansion of the fundamental boundary value problem of the plane static elasticity for the exponential uniform semi-plane.

**Chakhavadze A.Sh.** On the characteristic problem of the equation with the non-linear main part.

**Shulaia D.A. **On the convergece of the Fourier series respect the eigen functions of the characteristic equation of the linear multivelocity transfer theory.