Nonlocal boundary-value problems for n-th order ordinary differential equations by matching solutions
We are concerned with the existence and uniqueness of solutions to nonlocal boundary-value problems on an interval $[a,c]$ for the differential equation $y^{(n)}=f(x,y,y',dots,y^{(n-1)})$, where $ngeq 3$. We use the method of matching solutions, with some monotonicity conditions on $f$.
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| Format: | Article |
| Language: | English |
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Texas State University
2011-02-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2011/17/abstr.html |
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doaj-f20594d57327450c8d5d175c39c2f6432020-11-25T01:41:16ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912011-02-01201117,19Nonlocal boundary-value problems for n-th order ordinary differential equations by matching solutionsXueyan LiuWe are concerned with the existence and uniqueness of solutions to nonlocal boundary-value problems on an interval $[a,c]$ for the differential equation $y^{(n)}=f(x,y,y',dots,y^{(n-1)})$, where $ngeq 3$. We use the method of matching solutions, with some monotonicity conditions on $f$. http://ejde.math.txstate.edu/Volumes/2011/17/abstr.htmlBoundary value problemnonlocalmatching solutions |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Xueyan Liu |
| spellingShingle |
Xueyan Liu Nonlocal boundary-value problems for n-th order ordinary differential equations by matching solutions Electronic Journal of Differential Equations Boundary value problem nonlocal matching solutions |
| author_facet |
Xueyan Liu |
| author_sort |
Xueyan Liu |
| title |
Nonlocal boundary-value problems for n-th order ordinary differential equations by matching solutions |
| title_short |
Nonlocal boundary-value problems for n-th order ordinary differential equations by matching solutions |
| title_full |
Nonlocal boundary-value problems for n-th order ordinary differential equations by matching solutions |
| title_fullStr |
Nonlocal boundary-value problems for n-th order ordinary differential equations by matching solutions |
| title_full_unstemmed |
Nonlocal boundary-value problems for n-th order ordinary differential equations by matching solutions |
| title_sort |
nonlocal boundary-value problems for n-th order ordinary differential equations by matching solutions |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2011-02-01 |
| description |
We are concerned with the existence and uniqueness of solutions to nonlocal boundary-value problems on an interval $[a,c]$ for the differential equation $y^{(n)}=f(x,y,y',dots,y^{(n-1)})$, where $ngeq 3$. We use the method of matching solutions, with some monotonicity conditions on $f$. |
| topic |
Boundary value problem nonlocal matching solutions |
| url |
http://ejde.math.txstate.edu/Volumes/2011/17/abstr.html |
| work_keys_str_mv |
AT xueyanliu nonlocalboundaryvalueproblemsfornthorderordinarydifferentialequationsbymatchingsolutions |
| _version_ |
1725041811727056896 |