Positive blow-up solutions of nonlinear models from real world dynamics

Abstract

In this paper, we investigate the structure and properties of the set of positive blow-up solutions of the differential equationThe differential equation is studied together with the boundary conditions lim t→0+ v(t) = ∞, v(T) = 0. We specify conditions for the data function h which guarantee that the set of all positive solutions to the above boundary value problem is nonempty. Further properties of the solutions are discussed and results of numerical simulations are presented.