MULTIPOINT BOUNDARY VALUE PROBLEMS WITH PARAMETER FOR A SYSTEM OF DIFFERENCE EQUATIONS

Johnny Henderson, Department of Mathematics, Baylor University, Waco, Texas 76798-7328, Johnny_Henderson@baylor.edu.

Eric R. Kaufmann, Department of Mathematics and Statistics, University of Arkansas at Little Rock, Little Rock, Arkansas 72204-1099, erkaufmann@ualr.edu.

Journal of Difference Equations and Applications, 1 (1995), 163-172.

ABSTRACT: Solutions, u(t), of the first order system of difference equations u(t+1) = f(t, u(t), l ) satisfying the multipoint boundary conditions

k
å
j = 1 		Mj u(tj) = r,
are differentiated with respect to the components of r and with respect to the components of the parameter l , where M1, …, Mk are constant real n x n matrices, r is a real n vector, l is a real m vector, and t1 < t2 < · · · < tk are integers.

AMS (MOS) Subject Classification: 39A10.

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