II.—The Stability of Solutions of Non-linear Difference-differential Equations
1950 ◽
Vol 63
(1)
◽
pp. 18-26
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Keyword(s):
SynopsisPoincaré, Liapounoff, Perron and others have proved theorems about the order of smallness, as the independent variable tends to + ∞, of solutions of differential equations with non-linear perturbation terms. A similar theory exists for difference equations. By a simple use of transforms, we here extend the theorems, with suitable modifications, to difference-differential equations. The results are an essential step in the development of a general theory of non-linear equations of this type.
1994 ◽
Vol 57
(2)
◽
pp. 138-148
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1933 ◽
Vol 231
(694-706)
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pp. 263-288
Keyword(s):
2014 ◽
Vol 7
(2)
◽
pp. 1829-1864
2002 ◽
Vol 216
(2)
◽
pp. 109-116
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2017 ◽
Vol 24
(2)
◽
pp. 277-285
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2016 ◽
Vol 3
(3)
◽
pp. 35-40
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