Geodesic

Volume 30 (1994) no. 1

Sommaire

The structure of the set of Lyapunov characteristic exponents of exponentially stable quasi-linear systems
p. 3-19
Basis properties of the eigenfunctions of some nonselfadjoint differential operators
p. 20-25
On the regularization of singular functional-differential equations
p. 26-34
Asymptotics of the eigenvalues of a singular differential operator
p. 35-40
On the Green function for a boundary value problem on a graph
p. 41-47
Necessary conditions for the satisfaction of a Hilbert-type inequality in a system of root functions of a second-order ordinary differential operator
p. 48-59
A component-wise estimate for the difference of partial sums of root vector function expansions, which correspond to two Schr\"odinger operators with non-Hermitian matrix potentials, for vector functions with monotone components
p. 60-69
Expansions in eigenfunctions of the differentiation operator with spread boundary condition
p. 70-76
Special boundary value problems for differential equations in a Hilbert space
p. 77-83
$L_2$-estimates for solutions of model boundary value problems for a system of equations with mixed parabolic-elliptic structure
p. 84-94
Operator-differential equations with nonregular boundary conditions and their application
p. 95-103
Estimates for the solutions of the Dirichlet problem for second-order elliptic equations in nondivergence form in a neighborhood of a conic point of the boundary
p. 104-108
On the H\"older property of derivatives of solutions of second-order parabolic equations in noncylindrical domains
p. 109-118
On systems of root vector functions of the Laplace operator with matrix eigenvalues
p. 119-127
On the absence of the basis property of a system of root functions of a problem with an oblique derivative
p. 128-143
On the existence of a well-posed two-point boundary value problem in a layer for systems of pseudo-differential equations
p. 144-150
Solvability of boundary value problems for parabolic and polyparabolic equations in a noncylindrical domain with nonsmooth lateral boundaries
p. 151-161
Construction of a semibounded functional for a boundary value problem for nonlinear nonstationary Navier--Stokes equations
p. 162-168
On the eigenvalues of a class of nonselfadjoint operators
p. 169-171
Regularization of the problem of the control of a dynamical system in a Hilbert space under conditions of uncertainty
p. 172-174
Finite difference approximations for the multidimensional equation of convective diffusion
p. 175-177
Distribution of the eigenvalues of finite multiplicity of Neumann extensions of an elliptic operator
p. 178-179