4 papers
First order systems of odes with nonlinear nonlocal boundary conditions
Igor Kossowski, Bogdan Przeradzki
In this article, we prove an existence of solutions for a non-local boundary value problem with nonlinearity in a nonlocal condition. Our method is based upon the Mawhin's coincide…
Compactness result and its applications in integral equations
Mateusz Krukowski, Bogdan Przeradzki
A version of Arzelà-Ascoli theorem for being -locally compact Hausdorff space is proved. The result is used in proving compactness of Fredholm, Hammerstein and Urysohn opera…
A classical approach to dynamics of parabolic competitive systems
Bogdan Przeradzki
We study the reaction-diffusion system, its stationary solutions, the behavior of the system near them and discuss similarities and differences for different boundary conditions.
A note on Blasius type boundary value problems
Grzegorz Andrzejczak, Magdalena Nockowska-Rosiak, Bogdan Przeradzki
The existence and uniqueness of a solution to a generalized Blasius equation with asymptotic boundary conditions are proved. A new numerical approximation method is proposed.