Linear approximations in a class of non-linear vector differential equations
Author:
J. J. Gilvarry
Journal:
Quart. Appl. Math. 11 (1953), 145-156
MSC:
Primary 71.0X
DOI:
https://doi.org/10.1090/qam/54403
MathSciNet review:
54403
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Additional Information
- J. J. Gilvarry, S. H. Browne, and I. K. Williams, Theory of blind navigation by dynamical measurements, J. Appl. Phys. 21 (1950), 753–761. MR 37107
S. A. Schelkunoff, Solution of linear and slightly non-linear differential equations, Q. App. Math. 3, 348–355 (1945).
J. J. Gilvarry and S. H. Browne, Application of Liouville’s approximation to the blind navigation problem, J. App. Phys. 21, 1195–1196 (1950).
L. I. Schiff, Quantum mechanics, McGraw-Hill Book Co., New York, 1949, p. 178.
- L. Brillouin, A practical method for solving Hill’s equation, Quart. Appl. Math. 6 (1948), 167–178. MR 27111, DOI https://doi.org/10.1090/S0033-569X-1948-27111-X
- L. Brillouin, The B. W. K. approximation and Hill’s equation. II, Quart. Appl. Math. 7 (1950), 363–380. MR 35352, DOI https://doi.org/10.1090/S0033-569X-1950-35352-8
- James Jeans, The mathematical theory of electricity and magnetism, Cambridge University Press, New York, 1960. 5th ed. MR 0115577
W. C. Graustein, Differential geometry, Macmillan Co., New York, 1947, pp. 36, 39, 115, 204.
T. M. MacRobert, Spherical harmonics, Dover Publications, New York, 1947, p. 133.
- E. T. Whittaker, A Treatise on the Analytical Dynamics of Particles and Rigid Bodies, Dover Publications, New York, 1944. Fourth Ed. MR 0010813
W. D. Lambert, The shape and size of the earth, Bulletin of the National Research Council, No. 78, 1931, 134–143.
J. J. Gilvarry, S. H. Browne, and I. K. Williams, Theory of blind navigation by dynamical measurements J. App Phys. 21, 753–761 (1950).
S. A. Schelkunoff, Solution of linear and slightly non-linear differential equations, Q. App. Math. 3, 348–355 (1945).
J. J. Gilvarry and S. H. Browne, Application of Liouville’s approximation to the blind navigation problem, J. App. Phys. 21, 1195–1196 (1950).
L. I. Schiff, Quantum mechanics, McGraw-Hill Book Co., New York, 1949, p. 178.
L. Brillouin, A practical method for solving Hill’s equation, Q. App. Math. 6, 167–178 (1948).
L. Brillouin, The B.W.K. approximation and Hill’s equation, II, Q. App. Math., 7, 363–380 (1950).
J. Jeans, The mathematical theory of electricity and magnetism, fifth ed., Cambridge University Press, Cambridge, 1925, p. 167.
W. C. Graustein, Differential geometry, Macmillan Co., New York, 1947, pp. 36, 39, 115, 204.
T. M. MacRobert, Spherical harmonics, Dover Publications, New York, 1947, p. 133.
E. T. Whittaker, A treatise on the analytical dynamics of particles and rigid bodies, fourth ed., Dover Publications, New York, 1937, p. 99.
W. D. Lambert, The shape and size of the earth, Bulletin of the National Research Council, No. 78, 1931, 134–143.
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Article copyright:
© Copyright 1953
American Mathematical Society
