Adam Mickiewicz University, Faculty of Mathematics and Computer
Science, Matejki 48/49, 60-769, Poznan, Poland
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.