Academy of Sciences of the Czech Republic Mathematical Institute Nonnegative Solutions of the Characteristic Initial Value Problem for Linear Partial Functional-differential Equations of Hyperbolic Type
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چکیده
On the rectangle D = [a, b]× [c, d], the problem on the existence and uniqueness of a nonnegative solution of the characteristic initial value problem for the equation ∂u(t, x) ∂t ∂x = `(u)(t, x) + q(t, x) is considered, where ` : C(D;R) → L(D;R) is a linear bounded operator and q ∈ L(D;R+).
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تاریخ انتشار 2005