TY - JOUR A2 - Erdogan, Abdullah Said AU - Ashyralyev, Allaberen AU - Urun, Mesut PY - 2013 DA - 2013/11/11 TI - Determination of a Control Parameter for the Difference Schrödinger Equation SP - 548201 VL - 2013 AB - The first order of accuracy difference scheme for the numerical solution of the boundary value problem for the differential equation with parameter p, i(du(t)/dt)+Au(t)+iu(t)=f(t)+p, 0<t<T, u(0)=φ, u(T)=ψ, in a Hilbert space H with self-adjoint positive definite operator A is constructed. The well-posedness of this difference scheme is established. The stability inequalities for the solution of difference schemes for three different types of control parameter problems for the Schrödinger equation are obtained. SN - 1085-3375 UR - https://doi.org/10.1155/2013/548201 DO - 10.1155/2013/548201 JF - Abstract and Applied Analysis PB - Hindawi Publishing Corporation KW - ER -