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 (uj(0))j = 1, where uj(x) solves -uj(x) + q(x) uj(x) = j(x) 0 < x < 1uj(0) = 0uj(1) = 0 and (j(x))j = 1 is a basis of L2(0, 1). Numerical approximations of q(x) using finite data are constructed. 1994 Academic Press, Inc.

published proceedings

  • JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

author list (cited authors)

  • LOWE, B. D., & RUNDELL, W.

citation count

  • 16

complete list of authors

  • LOWE, BD||RUNDELL, W

publication date

  • January 1994