#### 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.

**Full text (PDF)** (free access)

*Glasnik Matematicki* Home Page