The functional formulation of second-order ordinary differential equations
نویسندگان
چکیده
منابع مشابه
The Functional Formulation of Second-order Ordinary Differential Equations
In this paper, the necessary and sufficient conditions in order that a smooth mapping F (τ, α, β, a, b) be a dependence of a complete solution x(τ ) of some second-order ordinary differential equation on Neumann conditions x(α) = a, x(β) = b, α 6= β are deduced. These necessary and sufficient conditions consist of functional equations for F and of a smooth extensibility condition. Illustrative ...
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ژورنال
عنوان ژورنال: Aequationes mathematicae
سال: 2005
ISSN: 0001-9054,1420-8903
DOI: 10.1007/s00010-004-2752-8