Geodesic

Sommaire du Fascicule no. 1

Estimates for the Gaussian curvature of a strictly convex surface and its integral parameters
p. 3-15
The existence of heteroclinic travelling waves in the discrete sine-Gordon equation with nonlinear interaction on a $\mathrm{2D}$-lattice
p. 16-26
Renormalized solutions for nonlinear parabolic systems in the Lebesgue–Sobolev spaces with variable exponents
p. 27-53
The interaction of the Maxwell flows of general form for the Bryan–Pidduck model
p. 54-66
Hypersurfaces with $L_r$-pointwise $1$-type Gauss map
p. 67-77
Spectral analysis of discontinuous boundary-value problems with retarded argument
p. 78-99
On the class of Einstein exponential-type Finsler metrics
p. 100-114
The 80$^{\mathrm{th}}$ birthday of Valentyn Yakovych Golodets

Sommaire du Fascicule no. 2

Foliations of codimension one and the Milnor conjecture
p. 119-131
Ricci solitons on Lorentzian four-dimensional generalized symmetric spaces
p. 132-140
Surfaces of revolution with vanishing curvature in Galilean 3-space
p. 141-152
Nonlinear dynamics of solitons for the vector modified Korteweg–de Vries equation
p. 153-168
Lagrange stability of semilinear differential-algebraic equations and application to nonlinear electrical circuits
p. 169-196
Non-differentiable functions defined in terms of classical representations of real numbers
p. 197-213
The solvability of the initial-boundary value problems for a nonlinear Schrödinger equation with a special gradient term
p. 214-232

Sommaire du Fascicule no. 3

Inverse scattering on the half line for the matrix Schrödinger equation
p. 237-269
Gap control by singular Schrödinger operators in a periodically structured metamaterial
p. 270-285
The KPZ equation and moments of random matrices
p. 286-296
Construction of KdV flow I. $\tau$-Function via Weyl function
p. 297-335
The extended Leibniz rule and related equations in the space of rapidly decreasing functions
p. 336-361
Szegö-type theorems for one-dimensional Schrödinger operator with random potential (smooth case)
p. 362-388

Sommaire du Fascicule no. 4

Asymptotic solutions of the wave equation with degenerate velocity and with right-hand side localized in space and time
p. 393-405
Long-time asymptotics for the Toda shock problem: non-overlapping spectra
p. 406-451
On spectral properties of the $L$ operator in the Lax pair of the sine-Gordon equation
p. 452-509
Asymptotic properties of integrals of quotients when the numerator oscillates and the denominator degenerates
The maximal “kinematical” invariance group for an arbitrary potential revised
p. 519-531
The discrete self-adjoint Dirac systems of general type: explicit solutions of direct and inverse problems, asymptotics of Verblunsky-type coefficients and the stability of solving of the inverse problem
p. 532-548
Author index to volume 14 for year 2018
p. 549-552