Bulletin of the American Mathematical Society

MathSciNet review: 1568068
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Book Information:

Author: Frantisek Neuman
Title: Global properties of linear ordinary differential equations
Additional book information: Mathematics and its Applications, vol.\ 52, Kluwer Academic Publishers, Dordrecht, 1991, xv+320 pp., US$129.00. ISBN 0-7923-1269-4.

[1]

M. Abramowitz and I. Stegun, Handbook of mathematical functions, Dover Publications, New York, 1970.

W. N. Everitt, On the transformation theory of ordinary second-order linear symmetric differential expressions, Czechoslovak Math. J. 32(107) (1982), no. 2, 275–306. With a loose Russian summary. MR 654062

W. N. Everitt and David Race, On necessary and sufficient conditions for the existence of Carathéodory solutions of ordinary differential equations, Quaestiones Math. 2 (1977/78), no. 4, 507–512. MR 477222

W. N. Everitt and D. Race, Some remarks on linear ordinary quasidifferential expressions, Proc. London Math. Soc. (3) 54 (1987), no. 2, 300–320. MR 872809, DOI 10.1112/plms/s3-54.2.300

C. T. Fulton and S. Pruess, The computation of spectral density functions for singular Sturm-Liouville problems involving simple continuous spectra, ACM Trans. Math. Software 24 (1998), no. 1, 107–129. MR 1670118, DOI 10.1145/285861.285867

Man Kam Kwong and A. Zettl, Integral inequalities and second order linear oscillation, J. Differential Equations 45 (1982), no. 1, 16–33. MR 662484, DOI 10.1016/0022-0396(82)90052-3

Man Kam Kwong and A. Zettl, Asymptotically constant functions and second order linear oscillation, J. Math. Anal. Appl. 93 (1983), no. 2, 475–494. MR 700159, DOI 10.1016/0022-247X(83)90188-9

Robert M. Kauffman, Thomas T. Read, and Anton Zettl, The deficiency index problem for powers of ordinary differential expressions, Lecture Notes in Mathematics, Vol. 621, Springer-Verlag, Berlin-New York, 1977. MR 0481243

C. A. Swanson, Comparison and oscillation theory of linear differential equations, Mathematics in Science and Engineering, Vol. 48, Academic Press, New York-London, 1968. MR 0463570

Joachim Weidmann, Spectral theory of ordinary differential operators, Lecture Notes in Mathematics, vol. 1258, Springer-Verlag, Berlin, 1987. MR 923320, DOI 10.1007/BFb0077960

[1]

M. Abramowitz and I. Stegun, Handbook of mathematical functions, Dover Publications, New York, 1970.

[2]

W. N. Everitt, On the transformation theory of ordinary second-order linear symmetric differential equations, Czechoslovak Math. J. 32 (1982), 275-306. MR 654062 (83h:34010)

[3]

W. N. Everitt and D. Race, On necessary and sufficient conditions for the existence of Caratheodory solutions of ordinary equations, Quaestiones Math. 2 (1978), 507-512. MR 0477222 (57:16763)

[4]

-, Some remarks on linear ordinary quasi-differential expressions, Proc. London Math. Soc. (3) 54 (1987), 300-320. MR 872809 (88b:34014)

[5]

C. Fulton and S. Pruess, Mathematical software for Sturm-Liouville problems, ACM Trans. Math. Software (to appear). MR 1670118 (99j:65127)

[6]

M. K. Kwong and A. Zettl, Integral inequalities, and second order linear oscillation, J. Differential Equations 45 (1982), 16-33. MR 662484 (83i:34034)

[7]

-, Asymptotically constant functions and second order linear oscillation, J. Math. Anal. Appl. 93 (1983), 475-494. MR 700159 (84k:34044)

[8]

R. M. Kauffman, T. T. Read, and A. Zettl, The deficiency index problem for ordinary differential expressions, Lecture Notes in Math., vol. 621, Springer-Verlag, New York, 1977, pp. 1-127. MR 0481243 (58:1370)

[9]

C. A. Swanson, Comparison and oscillation theory of linear differential equations, Academic Press, New York and London, 1968. MR 0463570 (57:3515)

[10]

J. Weidmann, Spectral theory of ordinary differential operators, Lecture Notes in Math., vol. 1258, Springer-Verlag, Heidelberg, 1987. MR 923320 (89b:47070)