Sufficient conditions for destabilizing effects of certain unilateral boundary conditions and for the existence of bifurcation points for spatial patterns to reaction-diffusion systems of the activator-inhibitor type are proved. The conditions are related with the mollification method employed to overcome difficulties connected with empty interiors of appropriate convex cones.
This article summarises the underlying points of Whitehead´s first systematic critique of the "materialistic" theory, which dominate modern scientific reasoning, as well as the philosophical motivation of his criticism of modern epistemology that originated as a result of a specific link towards science. Together with an outline of Whitehead´s critique, this study offers a number of illustrative quotes from the works of thinkers against whom Whitehead delineated his own philosophy sicne his own texts do not systematically come to terms with primary literature. In conclusion, this study sketches out the key traits of Whitehead´s own positon representantive of the particular phase of his thinking under scrutiny., Michal Andrle., and Obsahuje seznam literatury