| Title:
|
Generalized boundary value problems with linear growth (English) |
| Author:
|
Šeda, Valter |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
123 |
| Issue:
|
4 |
| Year:
|
1998 |
| Pages:
|
385-404 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
It is shown that for a given system of linearly independent linear continuous functionals $l_i C^{n-1} \to\bb R$, $i=1,\dots,n$, the set of all $n$-th order linear differential equations such that the Green function for the corresponding generalized boundary value problem (BVP for short) exists is open and dense in the space of all $n$-th order linear differential equations. Then the generic properties of the set of all solutions to nonlinear BVP-s are investigated in the case when the nonlinearity in the differential equation has a linear majorant. A periodic BVP is also studied. (English) |
| Keyword:
|
generic properties |
| Keyword:
|
periodic boundary value problem |
| MSC:
|
34B15 |
| MSC:
|
34B27 |
| MSC:
|
34C11 |
| MSC:
|
34C25 |
| idZBL:
|
Zbl 0937.34019 |
| idMR:
|
MR1667111 |
| DOI:
|
10.21136/MB.1998.125969 |
| . |
| Date available:
|
2009-09-24T21:33:27Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125969 |
| . |
| Reference:
|
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| Reference:
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| . |
