Sigma models in geometry
Simple categories of topological spaces
Singleton representations of
Singular lines in liquid crystals
Singular perturbations and linear feedback control
Singular perturbations with several parameters
Singularities in the geometry of an obstacle
Small Scale Retrodigitization
The digitization of papers born in the print-only era is vital for the health of the mathematical record. Many large scale retrodigitization projects are underway and, at this point, probably more that half of the mathematical history has been finished. Many smaller journals and books remain to be done. This paper gives a framework within which these may also be completed. It uses the digitization of the Canadian Journal of Mathematics (53,000 pages), completed as a one-man project over a few months,...
Smooth approximation and its application to some 1D problems
In the contribution, we are concerned with the exact interpolation of the data at nodes given and also with the smoothness of the interpolating curve and its derivatives. This task is called the problem of smooth approximation of data. The interpolating curve or surface is defined as the solution of a variational problem with constraints. We discuss the proper choice of basis systems for this way of approximation and present the results of several 1D numerical examples that show the quality of smooth...
Solution of nonlinear degenerate elliptic-parabolic systems in Orlicz-Sobolev spaces
Solution of nonlinear parabolic equations by finite difference method for an arbitrary time interval
Solution of symmetric positive systems of differentional equations
Solution set properties for some nonlinear parabolic differential equations
Solutions of a linear second order equation of parabolic type defined in an unbounded domain
Solutions of hypersingular integral equations over circular domains by a spectral method
The problem of a solving a class of hypersingular integral equations over the boundary of a nonplanar disc is considered. The solution is obtained by an expansion in basis functions that are orthogonal over the unit disc. A Fourier series in the azimuthal angle, with the Fourier coefficients expanded in terms of Gegenbauer polynomials is employed. These integral equations appear in the study of the interaction of water waves with submerged thin plates.
Solutions to a differential inclusion of order
Solvability and bifurcations of some strongly nonlinear equations
Solvability properties of semilinear operator equations
Some applications of compactness in harmonic analysis
Some applications of generalized Orlicz spaces in approximation theory and Fourier series