Parametrix and localized solutions for linearized equations of gas dynamics -- Laplacians on generalized smooth distributions as C*-algebra multipliers -- C*-algebras generated by dynamical systems, and applications to nonlocal PDO -- The equivariant Atiyah-Patodi-Singer theorem -- Representations of Maslov's canonical operator in a neighborhood of caustics -- Resurgent analysis of singularly perturbed differential systems -- Dual linear programming problem and one-dimensional Gromov minimal fillings -- Complete semiclassical spectral asymptotics for periodic and almost periodic perturbations of constant operators -- Analytic properties of the Hörmander solution of the wave equation -- Derivations of group algebras and Hohschild cohomology -- Mellin operators in weighted corner Sobolev spaces -- Quantum Hall effect and noncommutative geometry -- Flat vector bundles and open coverings -- A class of Fredholm boundary value problems for the wave equation with conditions on the entire boundary -- Motion of mechanical systems across the singular points -- Large-time decay of solutions to the Kawahara equation -- Applications of the Maslov index to phase reconstruction problems -- The complex homotopy principle of Grauert and Gromov for algebras of pseudo differential operators -- On the Fredholm solvability of operators associated with Morse-Smale diffeomorphisms -- Geometrical model of the one-dimensional double pendulum phase space -- Solutions for a nonlinear elliptic problem involving a variable exponent and measure data in unbounded domains -- Periodic internal layers in reaction-diffusion-advection equations with modular type advection -- Model of protosphera -- Pseudo-differential operators, equations, and elliptic boundary value problems.