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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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 |
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doaj-328db51313004416acf7952c6690ed232020-11-25T03:48:45ZengSpringerOpenBoundary Value Problems1687-27702020-06-012020111110.1186/s13661-020-01412-6Boundary value conditions for linear differential equations with power degenerationsAigerim Kalybay0KIMEP UniversityAbstract 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 $\mu >0$ .http://link.springer.com/article/10.1186/s13661-020-01412-6Linear differential equationBoundary value problemWeight functionMultiweighted derivativePoint of singularity |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Aigerim Kalybay |
| spellingShingle |
Aigerim Kalybay Boundary value conditions for linear differential equations with power degenerations Boundary Value Problems Linear differential equation Boundary value problem Weight function Multiweighted derivative Point of singularity |
| author_facet |
Aigerim Kalybay |
| author_sort |
Aigerim Kalybay |
| title |
Boundary value conditions for linear differential equations with power degenerations |
| title_short |
Boundary value conditions for linear differential equations with power degenerations |
| title_full |
Boundary value conditions for linear differential equations with power degenerations |
| title_fullStr |
Boundary value conditions for linear differential equations with power degenerations |
| title_full_unstemmed |
Boundary value conditions for linear differential equations with power degenerations |
| title_sort |
boundary value conditions for linear differential equations with power degenerations |
| publisher |
SpringerOpen |
| series |
Boundary Value Problems |
| issn |
1687-2770 |
| publishDate |
2020-06-01 |
| description |
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 $\mu >0$ . |
| topic |
Linear differential equation Boundary value problem Weight function Multiweighted derivative Point of singularity |
| url |
http://link.springer.com/article/10.1186/s13661-020-01412-6 |
| work_keys_str_mv |
AT aigerimkalybay boundaryvalueconditionsforlineardifferentialequationswithpowerdegenerations |
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