Vol. 8, No. 4, 2015

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Differentiation with respect to parameters of solutions of nonlocal boundary value problems for difference equations

Johnny Henderson and Xuewei Jiang

Vol. 8 (2015), No. 4, 629–636
Abstract

For the n-th order difference equation, Δnu = f(t,u,Δu,,Δn1u,λ), the solution of the boundary value problem satisfying Δi1u(t0) = Ai,1 i n 1, and u(t1) j=1maju(τj) = An, where t0,τ1,,τm,t1 , t0 < < t0 + n 1 < τ1 < < τm < t1, and a1,,am,A1,,An , is differentiated with respect to the parameter λ.

Keywords
difference equation, boundary value problem, nonlocal, differentiation with respect to parameters
Mathematical Subject Classification 2010
Primary: 39A10, 34B08
Secondary: 34B10
Milestones
Received: 12 May 2014
Revised: 21 May 2014
Accepted: 31 May 2014
Published: 23 June 2015

Communicated by Kenneth S. Berenhaut
Authors
Johnny Henderson
Department of Mathematics
Baylor University
One Bear Place #97328
Waco, TX 76798
United States
Xuewei Jiang
Department of Mathematics
Baylor University
One Bear Place #97328
Waco, TX 76798
United States