Invariant sets for nonlinear evolution equations, Cauchy problems and periodic problems
In the case of K≠D(A)¯, we study Cauchy problems and periodic problems for nonlinear evolution equation u(t)∈K, u′(t)+Au(t)∋f(t,u(t)), 0≤t≤T, where A isa maximal monotone operator on a Hilbert space H, K is a closed, convex subset of H, V is a subspace of H, and f:[0,T]×(K∩V)→H is of Carathéodory ty...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337504311073 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832558154216374272 |
|---|---|
| author | Norimichi Hirano Naoki Shioji |
| author_facet | Norimichi Hirano Naoki Shioji |
| author_sort | Norimichi Hirano |
| collection | DOAJ |
| description | In the case of K≠D(A)¯, we study Cauchy problems
and periodic problems for nonlinear evolution equation u(t)∈K, u′(t)+Au(t)∋f(t,u(t)), 0≤t≤T, where A isa
maximal monotone operator on a Hilbert space H, K is a
closed, convex subset of H, V is a subspace of H, and f:[0,T]×(K∩V)→H is of Carathéodory
type. |
| format | Article |
| id | doaj-art-1942208f6d2d4c529460cfa947028cf4 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-1942208f6d2d4c529460cfa947028cf42025-02-03T01:33:05ZengWileyAbstract and Applied Analysis1085-33751687-04092004-01-012004318320310.1155/S1085337504311073Invariant sets for nonlinear evolution equations, Cauchy problems and periodic problemsNorimichi Hirano0Naoki Shioji1Department of Mathematics, Graduate School of Environment and Information Sciences, Yokohama National University, Tokiwadai, Hodogaya-ku, Yokohama 240-8501, JapanDepartment of Mathematics, Graduate School of Environment and Information Sciences, Yokohama National University, Tokiwadai, Hodogaya-ku, Yokohama 240-8501, JapanIn the case of K≠D(A)¯, we study Cauchy problems and periodic problems for nonlinear evolution equation u(t)∈K, u′(t)+Au(t)∋f(t,u(t)), 0≤t≤T, where A isa maximal monotone operator on a Hilbert space H, K is a closed, convex subset of H, V is a subspace of H, and f:[0,T]×(K∩V)→H is of Carathéodory type.http://dx.doi.org/10.1155/S1085337504311073 |
| spellingShingle | Norimichi Hirano Naoki Shioji Invariant sets for nonlinear evolution equations, Cauchy problems and periodic problems Abstract and Applied Analysis |
| title | Invariant sets for nonlinear evolution equations, Cauchy problems
and periodic problems |
| title_full | Invariant sets for nonlinear evolution equations, Cauchy problems
and periodic problems |
| title_fullStr | Invariant sets for nonlinear evolution equations, Cauchy problems
and periodic problems |
| title_full_unstemmed | Invariant sets for nonlinear evolution equations, Cauchy problems
and periodic problems |
| title_short | Invariant sets for nonlinear evolution equations, Cauchy problems
and periodic problems |
| title_sort | invariant sets for nonlinear evolution equations cauchy problems and periodic problems |
| url | http://dx.doi.org/10.1155/S1085337504311073 |
| work_keys_str_mv | AT norimichihirano invariantsetsfornonlinearevolutionequationscauchyproblemsandperiodicproblems AT naokishioji invariantsetsfornonlinearevolutionequationscauchyproblemsandperiodicproblems |