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Well-Posedness of Nonlocal Parabolic Differential Problems with Dependent Operators

The nonlocal boundary value problem for the parabolic differential equation v'(t) + A(t)v(t) = f(t)  (0 ≤ t ≤ T), v(0) = v(λ) + φ, 0 < λ ≤ T in an arbitrary Banach space E with the dependent linear positive operator A(t) is investigated. The well-posedness of this problem is established in B...

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Detalles Bibliográficos
Autores principales: Ashyralyev, Allaberen, Hanalyev, Asker
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3913520/
https://www.ncbi.nlm.nih.gov/pubmed/24526903
http://dx.doi.org/10.1155/2014/519814