© 2020, Allerton Press, Inc. We show that if a three-dimensional linear conjugation problem has two particular solutions with coinciding ratios of boundary values of two their components, then its general solution can be ...

© 2018, Pleiades Publishing, Ltd. Establishing an analogy between the theories of Riemann–Hilbert vector problem and linear ODEs, for the n-dimensional homogeneous linear conjugation problem on a simple smooth closed contour ...

© 2018, Allerton Press, Inc. In terms of coefficients of an equation under consideration, we derive 16 variants of collections of conditions of resolvability of this equation in quadratures. Every collection consists of ...

© 2019, Allerton Press, Inc. We consider the structure of the set of piecewise meromorphic solutions of a homogeneous linear conjugation problem for a four-dimensional vector. We show that in the presence of three piecewise ...

© 2020, Allerton Press, Inc. We apply new approach for the Goursat and Cauchy problems with additional recovering of coefficients of equation for selection of the cases of solvability of these problems in quadratures. ...