Glasnik Matematicki, Vol. 36, No.2 (2001), 233-239.

A DISCRETE BOUNDARY VALUE PROBLEM IN BANACH SPACES

M. Dawidowski, I. Kubiaczyk and J. Morchalo

University of Technology, Unstitute of Mathematics, 5 Maria Sklodowska-Curie Sq., 60-965 Poznan, Poland

Adam Mickiewicz University, Faculty of Mathematics and Computer Science, Matejki 48/49, 60-769, Poznan, Poland
e-mail: kuba@amu.edu.pl

University of Technology, Unstitute of Mathematics, 5 Maria Sklodowska-Curie Sq., 60-965 Poznan, Poland


Abstract.   In this paper we present existence theorems for the second order discrete boundary problem in Banach spaces under weaker conditions we have known. We suppose the weak sequential continuity and some conditions expressed in terms of the measure of the weak noncompactness.

1991 Mathematics Subject Classification.   39A10.

Key words and phrases.   Difference equations, boundary value problem, Banach space, measure of noncompactness, existence theorems.


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