Geodesic

Sommaire du Fascicule no. 1

Bending of surfaces.~III
p. 3-56
Canonical decompositions of piecewise affine mappings, polyhedra-traces, and geometrical variational problems
p. 57-94
Phase topology of Appelrot class~I of Kowalewski top in a~magnetic field
p. 95-128
Some properties of rigidity mapping
p. 129-142
Nonflexible polyhedra with small number of verticies
p. 143-165
A~method for solving the problem of isometric realization of developments
p. 167-203
Approximation of solutions of the Monge--Amp\`ere equations by surfaces reduced to developable surfaces
p. 205-236
On domains of regularity of the solutions of some special classes of Monge--Amp\`ere type equations
p. 237-246
A~generalization of the Pogorelov--Stocker theorem on complete developable surfaces
p. 247-252
Discretization of multidimensional submanifolds associated with Spin-valued spectral problems
p. 253-262

Sommaire du Fascicule no. 2

Konstantin Igorevich Beidar (1951--2004)
p. 3-15
Almost completely decomposable groups with primary regulator quotients and their endomorphism rings
p. 17-38
Elementary equivalence of the semigroup of invertible matrices with nonnegative elements
p. 39-53
Isomorphisms of the unitary group over a~ring
p. 55-70
Trisecant lemma for nonequidimensional varieties
p. 71-87
On Spechtian varieties of right alternative algebras
p. 89-100
Combinatorial generators of the multilinear polynomial identities
p. 101-110
On $\Sigma$-nilpotent ideals of topological PI-rings
p. 111-118
On multiple transitivity for products of sets of permutations
p. 119-141
On the dimensions of commutative subalgebras and subgroups
p. 143-157
Prime radicals of graded $\Omega$-groups
p. 159-174
Semirings of cyclic types
p. 175-192
The prime radical of $pl$-groups
p. 193-199
The atomic theory of division of semiring ideals
p. 201-208
The Jacobson radical of the Laurent series ring
p. 209-215

Sommaire du Fascicule no. 3

On Belyi pairs over arbitrary fields
p. 3-8
Rational operators of the space of formal series
p. 9-53
Pseudocharacters on anomalous products of locally indicable groups
p. 55-64
Latin squares over Abelian groups
p. 65-71
Asymmetric approach to computation of Gr\"obner bases
p. 73-88
Triple products of Coleman's families
p. 89-100
A~characterization of the lattice group of Riemann integrable functions
p. 101-140
Distributive extensions of modules
p. 141-150
Laurent rings
p. 151-224
Twenty five (unary version)
p. 225-238

Sommaire du Fascicule no. 4

Existence and uniqueness of solutions of degenerate parabolic equations with variable exponents of nonlinearity
p. 3-19
On the unique solvability of a~family of two-point boundary-value problems for systems of ordinary differential equations
p. 21-39
On oscillation of eigenfunctions of a~fourth-order problem with spectral parameter in boundary condition
p. 41-52
Theorem on the density of separatrix connections for polynomial foliations in $\mathbb CP^2$
p. 53-64
Helmholtz--Kirchhoff method and boundary control of a~plane flow
p. 65-77
On stabilization of solutions of the Cauchy problem for a~parabolic equation with lower-order coefficients
p. 79-97
On the sets of boundedness of solutions for a~class of degenerate nonlinear elliptic fourth-order equations with $L^1$-data
p. 99-112
Decay of the solution of the first mixed problem for a~high-order parabolic equation with minor terms
p. 113-132
Existence of solutions of certain quasilinear elliptic equations in~$\mathbb R^N$ without conditions at infinity
p. 133-147
Counting solutions in bifurcation problems
p. 149-167
On stabilization of solutions of singular elliptic equations
p. 169-186
Certain inverse problems for parabolic equations
p. 187-202
Rational-fractional methods for solving stiff systems of differential equations
p. 203-208
A~Richardson-type iterative approach for identification of delamination boundaries
p. 209-230

Sommaire du Fascicule no. 5

On uniform estimates for solutions to quasi-linear differential equations
p. 3-9
On localization of the spectrum of non-self-adjoint differential operators
p. 11-19
On systems of two singularly perturbed quasilinear second-order equations
p. 21-28
Bounded solutions of families of systems of differential equations and their approximation
p. 29-47
On localization of the spectrum of the problem with complex weight
p. 49-64
On the notion of quantum Lyapunov exponent
p. 65-74
Dirichlet and Neumann problems for Laplace and heat equations in domains with right angles
p. 75-82
Estimates for solutions of retarded equations with variable coefficients
p. 83-93
On approximate properties of solutions of a~nonlinear mixed-type equation
p. 95-107
Equivalence of Navier--Stokes equation and infinite-dimensional Burgers equation
p. 109-120
Spike-type contrast structures in reaction-diffusion systems
p. 121-134
Representation of solution of a~stochastic Schr\"odinger equation in the form of Feynman integral
p. 135-152
Principles of functional analysis in scales of spaces: Hahn--Banach theorem, Banach theorem on homomorphism, and theorems on open mapping and closed graph
p. 153-173
On well-posedness classes of locally bounded generalized entropy solutions of the Cauchy problem for quasilinear first-order equations
p. 175-188
Periodic solutions of a~quasilinear wave equation with homogeneous boundary conditions
p. 189-201
Exact master equations describing reduced dynamics of the Wigner function
p. 203-219
Weighted Schur class functions and functional model
p. 221-236
The inverse problem for pencils of differential operators on the half-line with turning points
p. 237-246

Sommaire du Fascicule no. 6

Function integrals corresponding to a~solution of the Cauchy--Dirichlet problem for the heat equation in a~domain of a~Riemannian manifold
p. 3-15
Eigenfunctions of structures described by the ``shallow water'' model in a~plane
p. 17-32
Construction of asymptotic solutions of the autoresonance problem. Inner decomposition
p. 33-48
A~weak asymptotic solution of the phase-field system in the case of confluence of free boundaries in the Stefan--Gibbs--Thomson problem
p. 49-66
Ergodic dynamics of the coupled quasigeostrophic flow-energy balance system
p. 67-84
On the well-posedness of the mixed problem for hyperbolic operators with characteristics of variable multiplicity
p. 85-98
Asymptotics for the solution of averaged equations for the system of coupled oscillators
p. 99-113
The method of integral equations for the mixed problem with the skew derivative for harmonic functions outside cuts in a~plane
p. 115-135
On the number of real eigenvalues of a~certain boundary-value problem for a~second-order equation with fractional derivative
p. 137-155
On the dynamics of quantum states generated by the Cauchy problem for the Schr\"odinger equation with degeneration on the half-line
p. 157-174
Elementary rotations of operators in regular Banach spaces
p. 175-192
The Maslov--Poisson measure and Feynman formulas for the solution of the Dirac equation
p. 193-211
The Rankine--Hugoniot conditions and balance laws for $\delta$-shocks
p. 213-229
Birkhoff regularity in terms of the growth of the norm for the Green function
p. 231-239

Sommaire du Fascicule no. 7

Preface
p. 3-4
Integrable systems of chiral type
p. 5-21
A~conjecture concerning nonlocal terms of recursion operators
p. 23-33
Multi-component vortex solutions in symmetric coupled nonlinear Schr\"{o}dinger equations
p. 35-63
On the characteristic Lie algebras for equations $u_{xy}=f(u,u_x)$
p. 65-78
Some classes of electromagnetic waves that admit parabolic helices
p. 79-92
Minimal surfaces associated with nonpolynomial contact symmetries
p. 93-100
On skew-symmetric and general deformations of Lax pseudodifferential operators
p. 101-116
Recursion operator for the intrinsic generalized sine-Gordon equation
p. 117-128
Hamiltonian theory of anyons in crystals
p. 129-139
On symmetry classification of third order evolutionary systems of divergent type
p. 141-161
The Konno--Asai--Kakuhata system revisited: Reciprocal transformation and connection to the Kaup--Newell system
p. 163-166
Transformations of integrable hydrodynamic chains and their hydrodynamic reductions
p. 167-175
Classification of potential structures on the Minkowski space with respect to subgroups of the Poincar\'e group
p. 177-225
Zero-curvature representation for a~new fifth-order integrable system
p. 227-229
The classical Bertrand--Darboux problem
p. 231-250
On the variational integrating matrix for hyperbolic systems
p. 251-262

Sommaire du Fascicule no. 8

Almost completely decomposable groups and rings
p. 3-27
Elementary equivalence of Chevalley groups over fields
p. 29-77
Finite Gr\"obner basis algebra with unsolvable problem of zero divisors
p. 79-96
Regularity conditions for semigroups of isotone transformations of countable chains
p. 97-104
On rigid quivers
p. 105-120
Automorphisms of Sylow $p$-subgroups of Chevalley groups over $p$-primary residue rings of integers
p. 121-158
Designing digital signal processing extension for multipurpose microprocessor
p. 159-180
Pseudo-involutions
p. 181-187
Steinberg conformal superalgebras
p. 189-196
Prime radicals of $AO$-groups
p. 197-206
Necessary and sufficient conditions for a~variety of Leibniz algebras to have polynomial growth
p. 207-215
A~class of groups in which all unconditionally closed sets are algebraic
p. 217-222
The description of zero divisors in monoid of semigroup varieties under wreath product
p. 223-231
Modules with many direct summands
p. 233-241
The Jacobson radical and Laurent series rings
p. 243-246