Functional Differential Inequalities with Unbounded Delay
نویسندگان
چکیده
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 Perrontype 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. 2000 Mathematics Subject Classification: 35R10, 34K12.
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