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    Ambarzumyan Type Theorem For a Matrix Valued Quadratic Sturm-Liouville Problem

    Emrah Yilmaz1, Hikmet Koyunbakan2

    CMES-Computer Modeling in Engineering & Sciences, Vol.99, No.6, pp. 463-471, 2014, DOI:10.3970/cmes.2014.099.463

    Abstract In this study, Ambarzumyan’s theorem for quadratic Sturm-Liouville problem is extended to second order differential systems of dimension d ≥ 2. It is shown that if the spectrum is the same as the spectrum belonging to the zero potential, then the matrix valued functions both P(x) and Q(x) are zero by imposing a condition on P(x). In scaler case, this problem was solved in [Koyunbakan, Lesnic and Panakhov (2013)]. More >

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