Eigenvalue and nodal properties on quantum graph trees

Waves in Random and Complex Media

Volumn 16, Issue 3, 2006, Pages 167-178

  Schapotschnikow, Philipp ^a,b  

^a CARDIFF UNIVERSITY   (United Kingdom)

^b TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; THEOREM PROVING;

OSCILLATION THEORY; QUANTUM GRAPH TREES; STURM'S THEOREM;

TREES (MATHEMATICS);

EID: 33747066900     PISSN: 17455030     EISSN: 17455049     Source Type: Journal    
DOI: 10.1080/17455030600702535     Document Type: Article

References (9)

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2. Kuchment, P. (2005) Quantum graphs II. Some spectral properties of quantum graphs and combinatorial graphs Journal of Physics A, 38, pp. 4887-4900.
3. Birkhoff, G. and Rota, G.-C.(1962) Ordinary Differential Equations. Boston: Ginn and Company.
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5. Gnutzmann, S. and Smilansky, U. and Weber, J. (2004) Nodal counting on quantum graphs Waves in Random Media, 14, pp. 61-73. in Special Section on quantum graphs
6. Berkolaiko, J. and Keating, J. and Winn, B. (2003) Physical Review Letters, 91, pp. 134103.
7. Pivovarchik, V. (2000) Inverse problem for the Sturm-Liouville equation on a simple graph SIAM Journal on Mathematical Analysis, 32, pp. 801-819.
8. Schapotschnikow, P.(2004) Inverse Sturm-Liouville problems on trees. Cardiff University. A variational approach
9. Kottos, T. and Smilansky, U. (1999) Annals of Physics, 274, pp. 76-124.