Periodic boundary-value problem for third-order linear functional differential equations
For the linear functional differential equation of the third order u''' (t) = l(u)(t) + q(t), theorems on the existence and uniqueness of a solution satisfying the conditions u( i)(0) = u( i), i=0,1,2, are established. Here, l is a linear continuous operator transforming...
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| Datum: | 2008 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2008
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/3164 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | For the linear functional differential equation of the third order
u''' (t) = l(u)(t) + q(t),
theorems on the existence and uniqueness of a solution satisfying the conditions
u( i)(0) = u( i), i=0,1,2,
are established. Here, l is a linear continuous operator transforming the space C([0, ω];R)
into the space L([0, ω];R), and q ∈ L([0, ω];R).
The question on the nonnegativity of a solution of the considered boundary-value problem is also studied. |
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