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- W2022776908 abstract "The classical Euler-Poisson-Darboux problem is called exceptional if For such a choice of k, the associated ordinary differential equation problem obtained by replacing Δ and O(×) by constants has a regular singular point at t = 0. One of the roots of the indicial equation is a positive integer while the other is zero and the construction of a solution of this associated problem corresponds to using this smaller zero root. Solution functions obtained can be used to connect a solution (non-unique) of the original exceptional Cauchy problem to a non-exceptional one. In this paper, this method will be applied to two examples of exceptional Cauchy problems. AMS(MOS) Subject classifications: Primary 47A50 Secondary 47E05, 47D10" @default.
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- W2022776908 date "1983-01-01" @default.
- W2022776908 modified "2023-09-26" @default.
- W2022776908 title "Exceptional cauchy problems and regular singular points" @default.
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- W2022776908 doi "https://doi.org/10.1080/00036818308839423" @default.
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