Existence of solutions of functional-differential equations
نویسندگان
چکیده
منابع مشابه
The Existence of Carathéodory Solutions of Hyperbolic Functional Differential Equations
We consider the following Darboux problem for the functional differential equation ∂u ∂x∂y (x, y) = f ( x, y, u(x,y), ∂u ∂x (x, y), ∂u ∂y (x, y) ) a.e. in [0, a]× [0, b], u(x, y) = ψ(x, y) on [−a0, a]× [−b0, b]\(0, a]× (0, b], where the function u(x,y) : [−a0, 0] × [−b0, 0] → R k is defined by u(x,y)(s, t) = u(s + x, t + y) for (s, t) ∈ [−a0, 0] × [−b0, 0]. We prove a theorem on existence of th...
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ژورنال
عنوان ژورنال: Časopis pro pěstování matematiky
سال: 1975
ISSN: 0528-2195
DOI: 10.21136/cpm.1975.117875