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Eigenvalue and eigenfunction computations for Sturm-Liouville problems
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Volume 17 ,  Issue 4  (December 1991) table of contents
Pages: 491 - 499  
Year of Publication: 1991
ISSN:0098-3500
Authors
Paul B. Bailey  Sandia National Laboratories, Albuquerque, NM
Anton Zettl  Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL
Publisher
ACM  New York, NY, USA
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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
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BAILEY, P. B. SLEIGN, an eigenvalue-eigenfunction code for Sturm-Liouville problems. Tech. Rep. SAND77-2044, Sandia Laboratories, Albuquerque, 1978
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D02KEF-NAG FORTRAN Library Routine Document.
 
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EVERITT, W. N., AND RACE, D. On necessary and sufficient conditions for the existence of Caratheodory type solutions of ordinary differential equations Quaest~ones Math. 2 (1978), 507 512.
 
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EVERIT% W. N., KWONG, M K, AND ZETTL, A. Oscillation of eigenfunctlons of weighted regular Sturm-Liouville problems. J. London Math. Soc. 27 (1983), 106-120.
 
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GOLDBERG, S. Unbounded Linear Operators. McGraw-Hill, New York, 1966
 
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HARPE~, E. Y., C~ANG, I-DEE, AND G~UBE, G.W. A second-order JWKB approximation with one turning point and two singular points: Stability of an accelerating liquid sphere. J. Math. Phys. 12, 9 (Sept 1971), 1955-1960.
 
11
KAPER, H. G., KWONG, M. K., LEKKERKERKER, G. K., A~D ZETTL, A. Full- and partial-range eigenfunction expansions for Sturm-Lmuville problems with indefinite weights. In Proceedings of the Royal Society, Edinburgh 98A (1984), 69-88.
 
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KAPER, H. G., KWONG, M. K., AND ZETTL, A. Singular Sturm-Liouville problems with nonnegative and indefinite weights. Monatshefte der Mathematik 97 (1984), 177-189.
 
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KRALL, A. M., AND Z~TTL, A. Singular self-adjoint Sturm-Liouville problems. J. Diff. Integ. Equ. 1, 4 (Oct. 1988), 423-432.
 
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LUDFORD, G. S. S., AND ROBERTSON, R.A. Fully diffused regions. SIAM J. Appl. Math. 25, 4 (Dec. 1973), 693-703.
 
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NAIMARK, M.A. Linear Differential Operators, Vol. II. Ungar, New York, 1968.
 
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NUNGE, R. J., AND GmL, W. N. Analysis of heat or mass transfer in some countercurrent flows. Int. d. Heat Mass Tran~,~fer 8 (1965), 873-886.
 
18
RICHARDSON, R. Contributions to the study of oscillation properties of the solutions of linear differential equations of the second order. Amer. J. Math. 40 (1918), 283-316.
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Anton Zettl: colleagues

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