Boundary value conditions for linear differential equations with power degenerations
Abstract On the interval [ 0 , 1 ] $[0,1]$ we consider the nth order linear differential equation, the coefficient of the highest derivative of which is equivalent to the power function t μ $t^{\mu }$ when t → 0 $t\rightarrow 0$ . The main aim of the paper is to pose “generalized” Cauchy conditions...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-06-01
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| Series: | Boundary Value Problems |
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| Online Access: | http://link.springer.com/article/10.1186/s13661-020-01412-6 |
| Summary: | Abstract On the interval [ 0 , 1 ] $[0,1]$ we consider the nth order linear differential equation, the coefficient of the highest derivative of which is equivalent to the power function t μ $t^{\mu }$ when t → 0 $t\rightarrow 0$ . The main aim of the paper is to pose “generalized” Cauchy conditions for the given equation at the point of singularity t = 0 $t=0$ , which would be correct for any μ > 0 $\mu >0$ . |
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| ISSN: | 1687-2770 |