Geodesic

Volume 18 (1982) no. 1

Sommaire

The local extremum principle for a hyperbolic equation and its application
p. 3-7
On the question of the necessary condition for the stabilization of the solution of the Cauchy problem for a heat equation that is uniform on any compactum
p. 7-16
The general solution of a system of partial differential equations
p. 17-29
Relations that are exact with respect to order between $L_2$-norms of eigen- and associated functions of a second-order elliptic operator
p. 30-37
Regular extensions of the semiminimal Lavrent'ev--Bitsadze operator
p. 37-58
On the uniqueness of the solution of some boundary value problems for equations of mixed type and for hyperbolic equations in $m$-dimensional space
p. 59-63
On the completeness of eigenelements of some nonlinear equations
p. 64-72
An approximate method for solving boundary value problems for differential equations and its application to the dynamics of ground moisture and ground water
p. 72-81
A problem of Tricomi type for the Lavrent'ev--Bitsadze equation in a domain with an infinite set of characteristic triangles
p. 81-92
A problem with displacement for a hyperbolic equation with noncharacteristic degeneration on part of the boundary
p. 92-100
On the solvability of some higher-order quasilinear elliptic equations
p. 100-109
Some new results of the theory of regularized traces of differential operators
p. 109-116
Two nonlocal boundary value problems for a degenerate hyperbolic equation
p. 116-127
On a class of singular integral operators on the line with one-sided shift
p. 127-131
The Cauchy problem for differential equations with constant coefficients in a half space in a class of generalized functions
p. 132-138
Some properties of Euler fields
p. 138-144
On a problem with an oblique fractional derivative for the Holmgren equation
p. 144-152
On a Goursat-type problem for a class of systems of second-order equations of hyperbolic type
p. 152-166
Integral representation of $p$-analytic functions with characteristic $p=e^{\lambda x}y^k$
p. 166-170
A solution in closed form of the Volterra equation with a hypergeometric function in the kernel
p. 171-173
Boundary value problems for a three-dimensional equation of mixed type of the second kind
p. 173-176
Estimates of Wiman--Valiron type for solutions of differential equations
p. 176-177