Dependence of eigenvalues on the problem

Mathematische Nachrichten

Volumn 188, Issue , 1997, Pages 173-201

  Kong, Q ^a   Wu, H ^a   Zettl, A ^a  

^a NORTHERN ILLINOIS UNIVERSITY   (United States)

Author keywords

Continuous dependence on parameters; Eigenvalues; Linear boundary value problems

Indexed keywords

EID: 0000597401     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/mana.19971880111     Document Type: Article

References (19)

1. BAILEY, P. B., EVERITT, W. N., and ZETTL. A.: An Eigenfunction-Eigenvalue Code for Singular Sturm-Liouville Problems, pre-print
2. BAILEY, P. B., GORDON, M. K., and SHAMPINE, L. F.: Automatic Solution of the Sturm-Liouville Problem, ACM TOMS 4 (1978), 193-208
3. DIEUDONNÉ, J.: Foundations of Modern Analysis, Academic Press, New York/London, 1969
4. DUNFORD, N., and SCHWARTZ, J. T.: Linear Operators, Vol. II, Interscience, New York, 1963
5. EVERITT, W. N., and RACE, D.: Some Remarks on Linear Ordinary Quasi-Differential Expressions, Proc. London Math. Soc. Vol. 3, no. 54, (1987), 300-320
6. EVERITT, W. N., and ZETTL, A.: Generalized Symmetric Ordinary Differential Expressions, I. The Basic Theory, Nieuw Archief. voor Wiskunde, (3), XXVII (1979), 363-397
7. FRENTZEN, H.: Equivalents, Adjoints and Symmetry of Quasi-Differential Expressions with Matrix Valued Coefficients and Polynomials in Them, Proc. Roy. Soc. Edinburgh A 92 (1982), 123-146
8. FULTON, C. T., and PRUESS, S.: Mathematical Software for Sturm-Liouville Problems, ACM. Trans. Math. Software 19 (1993), 360-376
9. GREENBERG, L., and MARLETTA, M.: The Code SLEUTH for Solving Fourth Order Sturm-Liouville Problems, pre-print
10. KONG, Q., and ZETTL, A.: Dependence of Eigenvalues of Sturm-Liouville Problems on the Boundary, J. Differential Equations, 126 (1996), 389-407
11. KONG, Q., and ZETTL, A.: Eigenvalues of Regular Sturm-Liouville Problems, J. Differential Equations, 131 (1996), 1-19
12. KONG, Q., and ZETTL, A.: Linear Ordinary Differential Equations, WSSIAA V. 3 (1994), (Special volume dedicated to W.WALTER), Inequalities and Applications, edited by R. P. Agarwal, 381-397
13. MOELLER, M., and ZETTL, A.: Semi-Boundedness of Ordinary Differential Operators, J. Differential Equations, V. 115, no. 1, (1995), 24-49
14. MOELLER, M., and ZETTL, A.: Weighted Norm Inequalities for Quasi-Derivatives, Results in Mathematics, 24 (1993), 153-160
15. NAIMARK, M. A.: Linear Differential Operators, Ungar, New York, 1968
16. ROYDEN, H. L.: Real Analysis, New York, Macmillan, London, 3rd edition, 1988.
17. WEIDMANN, J.: Spectral Theory of Ordinary Differential Operators, Lecture Notes in Mathematics V. 1258 Springer Verlag, Berlin, 1987
18. ZETTL, A.: Adjoint and Self-Adjoint Problems with Interface Conditions, SIAM J. Applied Math. 16 (1968), 851-859
19. ZETTL, A.: Formally Self-Adjoint Quasi-Differential Operators, Rocky Mountain J. Math. 5 (1975), 453-474