APPLIED MATHEMATICS AND COMPUTATION, vol.218, pp.2113-2121, 2011 (Journal Indexed in SCI)
Let L0 and L be operators which are formed by the differential expressions in the space H1 = L2(0,p; >H), with same boundary conditions, where H is an infinite dimensional separable Hilbert space. Here, A is an unbounded self adjoint operator in H and, for every x 2 [0,p], Q(x) is a selfadjoint trace class operator in H. Assuming the operator A and the operator function Q(x) satisfy some additional conditions, we found trace formula for the operator of higher order with unbounded operator coefficient.