An Inverse Problem for a Sturm-Liouville Operator Academic Article uri icon

abstract

  • If 0 is not a Dirichlet eigenvalue of the Sturm-Liouville operator - d2/dx2 + q(x) on (0, 1), then q(x) ∈ L2(0, 1) is uniquely determined by the data (u′j(0))∞j = 1, where uj(x) solves -u″j(x) + q(x) uj(x) = ψj(x) 0 < x < 1uj(0) = 0uj(1) = 0 and (ψj(x))∞j = 1 is a basis of L2(0, 1). Numerical approximations of q(x) using finite data are constructed. © 1994 Academic Press, Inc.

author list (cited authors)

  • Lowe, B. D., & Rundell, W.

citation count

  • 14

publication date

  • January 1994