Glasnik Matematicki, Vol. 38, No.2 (2003), 299-309.

A DISCRETE BOUNDARY VALUE PROBLEM WITH PARAMETERS IN BANACH SPACE

I. Kubiaczyk, J. Morchalo and A. Puk

Institute of Mathematics, A. Mickiewicz University, Matejki 48/49, 60-769 Poznan, Poland
e-mail: kuba@amu.edu.pl

Institute of Mathematics, Poznan University of Technology, Piotrowo 3a, 60-965 Poznan, Poland
e-mail: jmorchal@math.put.poznan.pl

State School of Higher Vocational Education in Leszno, A. Mickiewicza 5, 61-100 Leszno, Poland


Abstract.   In the present note we are concerned with the question of the existence and uniqueness of solutions of two-point boundary value problem for nonlinear difference equations with parameters in Banach space.The proof of the above problem is based on the method of successive approximation and fixed-point method.

2000 Mathematics Subject Classification.   39A10, 47H10.

Key words and phrases.   Difference equations, boundary value problems, Banach space.


Full text (PDF) (free access)
Glasnik Matematicki Home Page