2011•Tamkang Journal of MathematicsOpen access

Spectral analysis for the matrix Sturm-Liouville operator on a finite interval

Natalia Pavlovna Bondarenko

Abstract

The inverse spectral problem is investigated for the matrix Sturm-Liouville equation on a finite interval. Properties of spectral characteristics are provided, a constructive procedure for the solution of the inverse problem along with necessary and sufficient conditions for its solvability is obtained.

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Key concepts: Mathematics, Sturm–Liouville theory, Constructive, Interval (graph theory), Inverse, Matrix (chemical analysis), Operator (biology), Mathematical analysis