Nicht-S-hermitesche Rand- und Eigenwertprobleme.
A general theorem on the GBDT version of the Bäcklund-Darboux transformation for systems depending rationally on the spectral parameter is treated and its applications to nonlinear equations are given. Explicit solutions of direct and inverse problems for Dirac-type systems, including systems with singularities, and for the system auxiliary to the N-wave equation are reviewed. New results on explicit construction of the wave functions for radial...
By using the coincidence degree theory, we study a type of -Laplacian neutral Rayleigh functional differential equation with deviating argument to establish new results on the existence of -periodic solutions.
The problem of existence and asymptotic behaviour of solutions of the quasilinear and quadratic singularly perturbed Neumann's problem as a small parameter at the highest derivative tends to zero is studied.