Functional Differential Inequalities with Unbounded Delay
Keyword(s):
Abstract We prove that a function of several variables satisfying a functional differential inequality with unbounded delay can be estimated by a solution of a suitable initial problem for an ordinary functional differential equation. As a consequence of the comparison theorem we obtain a Perron-type uniqueness result and a result on continuous dependence of solutions on given functions for partial functional differential equations with unbounded delay. We consider classical solutions on the Haar pyramid.
1978 ◽
Vol 67
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pp. 315-335
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1996 ◽
Vol 9
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pp. 459-468
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2003 ◽
Vol 40
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pp. 309-326
2019 ◽
Vol 27
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pp. 213-223
1999 ◽
Vol 18
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pp. 97-109
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