| Title:
|
Existence and non-existence of sign-changing solutions for a class of two-point boundary value problems involving one-dimensional $p$-Laplacian (English) |
| Author:
|
Naito, Yūki |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
136 |
| Issue:
|
2 |
| Year:
|
2011 |
| Pages:
|
175-184 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We consider the boundary value problem involving the one dimensional $p$-Laplacian, and establish the precise intervals of the parameter for the existence and non-existence of solutions with prescribed numbers of zeros. Our argument is based on the shooting method together with the qualitative theory for half-linear differential equations. (English) |
| Keyword:
|
boundary value problem |
| Keyword:
|
half-linear differential equation |
| Keyword:
|
Sturm comparison theorem |
| Keyword:
|
half-linear Prüfer transformation |
| MSC:
|
34B08 |
| MSC:
|
34B15 |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 1224.34046 |
| idMR:
|
MR2856134 |
| DOI:
|
10.21136/MB.2011.141580 |
| . |
| Date available:
|
2011-06-07T11:30:00Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141580 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| . |
