Infinite Systems of Hyperbolic Differential - Functional Inequalities
نویسنده
چکیده
The paper deals with systems of hyperbolic differential-functional inequalities related to initial problem on the generalized Haar pyramid for equations ∂tzλ(t, x) = fλ(t, x, z, ∂xzλ(t, x)), λ ∈ Λ, where (t, x) = (t, x1, . . . , xn), z = {zλ}λ∈Λ and Λ is a compact set of indices. A theorem on strong differential-functional inequalities is the main result of the paper. Extremal solutions of initial problems for infinite systems of ordinary differential-functional equations are used in the proof of a theorem on weak partial differential-functional inequalities.
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تاریخ انتشار 2006