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Numerical Functional Analysis and Optimization Volume 24, 2003 - Issue 1-2
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Original Articles

Eigenparameter Dependent Inverse Sturm-Liouville Problems

C. Maeve McCarthy Department of Mathematics and Statistics, Murray State University, Murray, USA
&
William Rundell Department of Mathematics, Texas A & M University, Texas, USA
Pages 85-105 | Published online: 31 Aug 2006

References

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  • Binding , P. A. , Browne , P. J. and Watson , B. A. 2002 . “ Spectral isomorphisms between generalized Sturm-Liouville problems ” . In Linear Operators and Matrices 135 – 152 . Birkhäuser . Oper. Theory Adv. Appl. 130
  • Browne , P. J. and Sleeman , B. D. 1996 . Inverse nodal problems for Sturm-Liouville equations with eigenparameter dependent boundary conditions . Inverse Problems , 12 : 377 – 381 .
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  • Pöschel , J. and Trubowitz , E. 1987 . “ Inverse spectral theory ” . In Pure and Applied Mathematics Vol. 130 , Academic Press .
  • Pruess , S. and Fulton , C. T. 1993 . Mathematical software for Sturm-Liouville problems . ACM Trans. on Math. Software , 19 : 360 – 376 .
  • Pruess , S. , Fulton , C.T. and Xie , Y. 1995 . An asymptotic numerical method for a class of singular Sturm-Liouville problems . SIAM J. Numer. Anal. , 32 : 1658 – 1676 .
  • Rundell , W. and Sacks , P. E. 1992 . Reconstruction techniques for classical inverse Sturm-Liouville Problems . Mathematics of Computation , 58 ( 197 ) : 161 – 183 .
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