On the spectrum of second-order differential operators with complex coefficients

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 455, Issue 1984, 1999, Pages 1235-1257

  Brown, B M ^a   Mccormack, D K R ^a   Evans, W D ^a   Plum, M ^a  

^a CARDIFF UNIVERSITY   (United Kingdom)

Author keywords

Complex theory; Spectral theory; Sturm Liouville problems; Titchmarsh weyl sims theory

Indexed keywords

EID: 0001624223     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1999.0357     Document Type: Article

References (12)

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2. Chaudhuri, J. & Everitt, W. N. 1968 On the spectrum of ordinary second-order differential operators. Proc. R. Soc. Edinb. A 68, 95-119.
3. Eastham, M. S. P. 1989 The asymptotic solution of linear differential systems. London Mathematical Society Monograph 4.
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6. Kamimura, Y. 1979 On the spectrum of an ordinary differential operator with an r-integrable complex-valued potential. J. Lond. Math. Soc. 20, 86-100.
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8. McLeod, J. B. 1961 Eigenfunction expansions associated with a complex differential operator of the second order. Q. J. Math. Oxford 12, 291-303.
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10. Titchmarsh, E. C. 1958 Eigenfunction expansions. Part II. Oxford: Clarendon.
11. Titchmarsh, E. C. 1962 Eigenfunction expansions. Part I, 2nd edn. Oxford: Clarendon.
12. Whittaker, E. T. & Watson, G. N. 1915 A course of modern analysis, 2nd edn. Cambridge University Press.