Published in Lobachevskii Journal of Mathematics
AbstractThe article investigates the two point boundary-value problem for a singularly perturbed linear in homogeneous ordinary differential equation of the second order on a segment with a turning point and interior layer. The aim of the study is to construct a uniform asymptotic expansion of the solution of the two point problem with an arbitrary...
Published in Moscow University Computational Mathematics and Cybernetics
The Dirichlet problem for a singulary perturbed convection–diffusion equation in a rectangle when a discontinuity at the flow exit the first derivative of the boundary condition gives rise to an inner layer for the solution. On piecewise-uniform Shishkin grids that condense near regular and characteristic layers, the solution obtained using the cla...
Published in Gene
The Piwi genes have an important role in stem cell development, gametogenesis and RNA interference in diverse organisms. So far, most of the studies have focused on the function of Piwis in vertebrates, but their function during spermiogenesis in invertebrates still remains largely unclear. In order to investigate the function of Piwis during sperm...
