Existence of solutions to a second order partial differential equation with nonlocal conditions
Using the cosine function theory, we prove the existence of mild and classical solutions for an abstract second-order Cauchy problem with nonlocal conditions.
| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2003-04-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2003/51/abstr.html |
| _version_ | 1818262685230301184 |
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| author | Eduardo Hernandez M. |
| author_facet | Eduardo Hernandez M. |
| author_sort | Eduardo Hernandez M. |
| collection | DOAJ |
| description | Using the cosine function theory, we prove the existence of mild and classical solutions for an abstract second-order Cauchy problem with nonlocal conditions. |
| first_indexed | 2024-12-12T19:07:03Z |
| format | Article |
| id | doaj.art-d838235d78184037a2fdd948302be4cb |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-12T19:07:03Z |
| publishDate | 2003-04-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-d838235d78184037a2fdd948302be4cb2022-12-22T00:14:56ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912003-04-01200351110Existence of solutions to a second order partial differential equation with nonlocal conditionsEduardo Hernandez M.Using the cosine function theory, we prove the existence of mild and classical solutions for an abstract second-order Cauchy problem with nonlocal conditions.http://ejde.math.txstate.edu/Volumes/2003/51/abstr.htmlCosine functiondifferential equations in abstract spacesnonlocal condition. |
| spellingShingle | Eduardo Hernandez M. Existence of solutions to a second order partial differential equation with nonlocal conditions Electronic Journal of Differential Equations Cosine function differential equations in abstract spaces nonlocal condition. |
| title | Existence of solutions to a second order partial differential equation with nonlocal conditions |
| title_full | Existence of solutions to a second order partial differential equation with nonlocal conditions |
| title_fullStr | Existence of solutions to a second order partial differential equation with nonlocal conditions |
| title_full_unstemmed | Existence of solutions to a second order partial differential equation with nonlocal conditions |
| title_short | Existence of solutions to a second order partial differential equation with nonlocal conditions |
| title_sort | existence of solutions to a second order partial differential equation with nonlocal conditions |
| topic | Cosine function differential equations in abstract spaces nonlocal condition. |
| url | http://ejde.math.txstate.edu/Volumes/2003/51/abstr.html |
| work_keys_str_mv | AT eduardohernandezm existenceofsolutionstoasecondorderpartialdifferentialequationwithnonlocalconditions |