On a boundary value problem for nonlinear functional differential equations
We consider the problem u′(t)=H(u)(t)+Q(u)(t), u(a)=h(u), where H,Q:C([a,b];R)→L([a,b];R) are, in general, nonlinear continuous operators, H∈ℋabαβ(g0,g1,p0,p1), and h:C([a,b];R)→R is a continuous functional. Efficient conditions sufficient for the solvability and uniqu...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2005-11-01
|
| Series: | Boundary Value Problems |
| Online Access: | http://dx.doi.org/10.1155/BVP.2005.263 |
| id |
doaj-6edbe299656e4077851d8309829675cb |
|---|---|
| record_format |
Article |
| spelling |
doaj-6edbe299656e4077851d8309829675cb2020-11-24T22:22:23ZengSpringerOpenBoundary Value Problems1687-27621687-27702005-11-012005326328810.1155/BVP.2005.263On a boundary value problem for nonlinear functional differential equationsRobert HaklWe consider the problem u′(t)=H(u)(t)+Q(u)(t), u(a)=h(u), where H,Q:C([a,b];R)→L([a,b];R) are, in general, nonlinear continuous operators, H∈ℋabαβ(g0,g1,p0,p1), and h:C([a,b];R)→R is a continuous functional. Efficient conditions sufficient for the solvability and unique solvability of the problem considered are established.http://dx.doi.org/10.1155/BVP.2005.263 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Robert Hakl |
| spellingShingle |
Robert Hakl On a boundary value problem for nonlinear functional differential equations Boundary Value Problems |
| author_facet |
Robert Hakl |
| author_sort |
Robert Hakl |
| title |
On a boundary value problem for nonlinear functional differential equations |
| title_short |
On a boundary value problem for nonlinear functional differential equations |
| title_full |
On a boundary value problem for nonlinear functional differential equations |
| title_fullStr |
On a boundary value problem for nonlinear functional differential equations |
| title_full_unstemmed |
On a boundary value problem for nonlinear functional differential equations |
| title_sort |
on a boundary value problem for nonlinear functional differential equations |
| publisher |
SpringerOpen |
| series |
Boundary Value Problems |
| issn |
1687-2762 1687-2770 |
| publishDate |
2005-11-01 |
| description |
We consider the problem u′(t)=H(u)(t)+Q(u)(t), u(a)=h(u), where H,Q:C([a,b];R)→L([a,b];R) are, in general, nonlinear continuous operators, H∈ℋabαβ(g0,g1,p0,p1), and h:C([a,b];R)→R is a continuous functional. Efficient conditions sufficient for the solvability and unique solvability of the problem considered are established. |
| url |
http://dx.doi.org/10.1155/BVP.2005.263 |
| work_keys_str_mv |
AT roberthakl onaboundaryvalueproblemfornonlinearfunctionaldifferentialequations |
| _version_ |
1725768594088787968 |