2 papers
math.CA2015
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…
math.FA2015
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…