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Showing 2014Show all
3 papers · 1 filter
math.AP2014★ 5 cited
Modulated electromagnetic fields in inhomogeneous media, hyperbolic pseudoanalytic functions and transmutations
Kira V. Khmelnytskaya, Vladislav V. Kravchenko, Sergii M. Torba
The time-dependent Maxwell system describing electromagnetic wave propagation in inhomogeneous isotropic media in the one-dimensional case reduces to a Vekua-type equation for bico…
math.DG2014
Configuration spaces of plane polygons and a sub-Riemannian approach to the equitangent problem
J. Jeronimo-Castro, S. Tabachnikov
The equitangent locus of a convex plane curve consists of the points from which the two tangent segments to the curve have equal length. The equitangent problem concerns the relati…
math-ph2014★ 11 cited
Spectral parameter power series method for discontinuous coefficients
Herminio Blancarte, Hugo M. Campos, Kira V. Khmelnytskaya
Let (a,b) be a finite interval and 1/p, q, r be functions from L1(a,b). We show that a general solution (in the weak sense) of the equation (pu')'+qu = zru on (a,b) can be construc…