Integral Operators and Delay Differential Equations
نویسندگان
چکیده
منابع مشابه
Integral Operators and Delay Differential Equations
The monodromy operator of a linear delay differential equation with periodic coefficients is formulated as an integral operator. The kernel of this operator includes a factor formed from the fundamental solution of the linear delay differential equation. Although the properties of the fundamental solutions are known, in general there is no closed form for the fundamental solution. This paper de...
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be the operator of mean value over a radius r sphere centered at y ∈ R. The integral transform I is clearly injective. Let C be a compact hypersurface in R isotopic to a sphere. Theorem 1.1 Let f(x) be a smooth function vanishing near C. Then one can recover f from its mean values along the spheres tangent to C, and the inversion is given by an explicit formula. In fact we will show that this t...
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ژورنال
عنوان ژورنال: Journal of Integral Equations and Applications
سال: 2006
ISSN: 0897-3962
DOI: 10.1216/jiea/1181075393