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

Volume 8, # 1, 1993

This collection contains the reports which were delivered on April 21-23, 1993 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

**Babilodze J.** Boundary Value Problem for One Loaded Hyperbolic Equation of the Second Order

**Bitsadze R.** On One Version of Initial-Characteristic Darboux Problem for One Equation of Nonlinear Oscillation

**Bochorishvili R.** A Quasikinetic Formulation of Systems of Conservation Laws

**Devdariani G.** On One Second-Order Ellirtic Equation with Singular Coefficients

**Gagnidze A.** Asymptotics of Solutions of Boundary Value Problems for Parabolic Equations with Coefficients Having "Weak" Concentrated Perturbation

**Gugulashvili Y.** About the Uniqueness of the Solutions of Cauchy Problem for Some Differential Equation of the Fourth Order with Increasing Coefficients

**Gugushvili E., Shulaia D.** Inverse Problem of Multigroup Theory of Neutron Transport

**Gugushvili E., Shulaia D.** Inverse Pronlem of Radiative Transfer

**Iremadse N., Jangveladse T.** On Riquier Boundary Value Problem for Charney Regularized Equation

**Jagmaidze Z.** On the Characteristic Problem for Linear Hyperbolic Systems of Higher Order in the Sobolev Spaces with the Weight

**Jaiani G.** An Examrly of Non-Unique Solvability Of Fichera in the Classical Sense

**Jangveladze T.** Apriori Estimations for one Nonlinear Integro-Differential Parabolic Problem

**Jokhadze O.** On the Cauchy and Goursat Problems on the Composite Curves for the Generalized Mangeron Equation\dotfill

**Kharibegashvili S.** On a Problem of the Darboux Type for Second Order Hyperbolic Equation

**Maisuradze M.** About Uniqueness of the Solution of Second Order Parabolic Equations with Growing Coefficients

**Makharadze T.** On the Solvability of a Problem of Darboux Type for the Second Order Hyperbolic Equation in the Case of Tangency of Data of the Problem

**Menteshashviti M.** Initial And Inverse Cauchy Problems for Dubreil-Jacotin Hyperbolik Equation with Data on the Closed Contour

**Usanetashvili M.** Boundary Value Problem for the Hyperbolic Equation Degenerating Inside the Domain