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Abstract: A new method for the solution of initial-boundary value problems for \textit{linear} and \textit{integrable nonlinear} evolution PDEs in one spatial dimension was introduced by one of the au...
Abstract: A random motion on the Poincar\'e half-plane is studied. A particle runs on the geodesic lines changing direction at Poisson-paced times. The hyperbolic distance is analyzed, also in the cas...
We investigate a version of the Laplacian growth problem with zero surface tension in the half plane and find families of self-similar exact solutions.
In this paper, the nonlocal continuum theory is applied to the problem of elastic half plane loaded at the origin by a force P directed along x axis. The solution of this problem in the frame of class...
The solution is given for the problem of a frictionless rigid parabolic stamp in nonlocal elasticity. Interestingly enough, none of the classical singularities exist in the nonlocal solutions. Classic...
The class of convex hydrodynamically normalized functions in a half-plane was introduced by J. Stankiewicz. In this paper we introduce the general class of convex functions in the upper half-plane D (...
In the present paper we obtain new sufficient conditions for the univalence and convexity of an analytic function defined in the upper half-plane. In particular, in the case of hydrodynamically normal...

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