Weakly coupled first-order partial functional-differential systems are considered. A mixed problem under Carathe'odory and Volterra assumptions is investigated. A comparison theorem in a generalized Haar pyramid is presented. Extremal solutions of some ordinary functional-differential systems play the role of comparison function. As an application, uniqueness and continuous dependence criteria for generalized solutions are derived.
On mixed problem for first order partial differential functional equations
BRANDI, Primo;
1998
Abstract
Weakly coupled first-order partial functional-differential systems are considered. A mixed problem under Carathe'odory and Volterra assumptions is investigated. A comparison theorem in a generalized Haar pyramid is presented. Extremal solutions of some ordinary functional-differential systems play the role of comparison function. As an application, uniqueness and continuous dependence criteria for generalized solutions are derived.File in questo prodotto:
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