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摘要
The purpose of this paper is to study a class of ill-posed differential equations. In some settings, these differential equations exhibit uniqueness but not existence, while in others they exhibit existence but not uniqueness. An example of such a differential equation is, for a polynomial P and continuous functions f (t; x) x [0; 1] x [ 0; 1] -> R,
partial derivative/partial derivative t f(t; x) = P (f (t; x)) P (f (t; 0))/x, x > 0 .
These differential equations are related to inverse problems.
- 出版日期2017-9-21
