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The linear difference-differential equation with linear coefficients
Author:
Barbara G. Yates
Journal:
Trans. Amer. Math. Soc. 80 (1955), 281-298
MSC:
Primary 39.0X
MathSciNet review:
0074689
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References |
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Additional Information
- [1]
K.
L. Cooke, The asymptotic behavior of the
solutions of linear and nonlinear differential-difference
equations, Trans. Amer. Math. Soc. 75 (1953), 80–105. MR 0060133
(15,629d), http://dx.doi.org/10.1090/S0002-9947-1953-0060133-4
- [2]
Gustav
Doetsch, Theorie und Anwendung der Laplace-Transformation,
Dover Publication, N. Y., 1943 (German). MR 0009225
(5,119f)
- [3]
Guido
Hoheisel, Lineare funktionale Differentialgleichungen, Math.
Z. 14 (1922), no. 1, 35–98 (German). MR
1544541, http://dx.doi.org/10.1007/BF01215892
- [4]
A.
A. Mirolyubov, Solution of differential-difference equations with
linear coefficients, Doklady Akad. Nauk SSSR (N.S.)
85 (1952), 1209–1210 (Russian). MR 0050153
(14,285e)
- [5]
E. C. Titchmarsh, Theory of functions, Oxford, 1932.
- [6]
D. V. Widder, The Laplace transform, Princeton, 1946.
- [7]
E.
M. Wright, Linear difference-differential equations, Proc.
Cambridge Philos. Soc. 44 (1948), 179–185. MR 0026230
(10,125c)
- [8]
E.
M. Wright, The linear difference-differential equation with
asymptotically constant coefficients, Amer. J. Math.
70 (1948), 221–238. MR 0025063
(9,592a)
- [9]
E.
M. Wright, The linear difference-differential equation with
constant coefficients, Proc. Roy. Soc. Edinburgh. Sect. A.
62 (1949), 387–393. MR 0031639
(11,182d)
- [10]
E.
M. Wright and Barbara
G. Yates, The asymptotic expansion of a certain integral,
Quart. J. Math., Oxford Ser. (2) 1 (1950), 41–53. MR 0034856
(11,653c)
- [1]
- K. L. Cooke, The asymptotic behavior of the solutions of linear and nonlinear differential-difference equations, Trans. Amer. Math. Soc. vol. 75 (1953) pp. 80-105. MR 0060133 (15:629d)
- [2]
- G. Doetsch, Theorie und Anwendung der Laplace-Transformation, New York, 1943. MR 0009225 (5:119f)
- [3]
- G. Hoheisel, Lineare funktionale Differentialgleichungen, I. Mitteilung, Math. Zeit. vol. 14 (1922) pp. 35-98. MR 1544541
- [4]
- A. A. Mirolyubov, Solution of differential-difference equations with linear coefficients, (Doklady) Akad. Nauk SSSR (N.S.) vol. 85 (1952) pp. 1209-1210 (Russian). MR 0050153 (14:285e)
- [5]
- E. C. Titchmarsh, Theory of functions, Oxford, 1932.
- [6]
- D. V. Widder, The Laplace transform, Princeton, 1946.
- [7]
- E. M. Wright, Linear difference-differential equations, Proc. Cambridge Philos. Soc. vol. 44 (1948) pp. 179-185. MR 0026230 (10:125c)
- [8]
- -, The linear difference-differential equation with asymptotically constant coefficients, Amer. J. Math. vol. 70 (1948) pp. 221-238. MR 0025063 (9:592a)
- [9]
- -, The linear difference-differential equation with constant coefficients, Proceedings of the Royal Society of Edinburgh, vol. 62 (1949) pp. 387-393. MR 0031639 (11:182d)
- [10]
- E. M. Wright and B. G. Yates, The asymptotic expansion of a certain integral, Quart. J. Math. Oxford (2) vol. 1 (1950) pp. 41-53. MR 0034856 (11:653c)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9947-1955-0074689-0
PII:
S 0002-9947(1955)0074689-0
Article copyright:
© Copyright 1955 American Mathematical Society
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