3 papers
math.AP2020
Nodal solutions of weighted indefinite problems
Martin Fencl, Julián López-Gómez
This paper analyzes the structure of the set of nodal solutions of a class of one-dimensional superlinear indefinite boundary values problems with an indefinite weight functions in…
math.AP2020
Global bifurcation diagrams of positive solutions for a class of 1-D superlinear indefinite problems
Martin Fencl, Julián López-Gómez
This paper analyzes the structure of the set of positive solutions of a class of one-dimensional superlinear indefinite bvp's. It is a paradigm of how mathematical analysis aids th…
math.AP2018
Unilateral sources and sinks of an activator in reaction-diffusion systems exhibiting diffusion-driven instability
Martin Fencl, Milan Kučera
A reaction-diffusion system exhibiting Turing's diffusion driven instability is considered. The equation for an activator is supplemented by unilateral terms of the type $s_{-}(x)u…