Email this article Well-posedness of a class of operator-differential equations
- Authors: Abdulkerimli L.S.1, Eminova S.L.1
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Affiliations:
- Azerbaijan State Pedagogical University
- Issue: Vol 53, No 10 (2017)
- Pages: 1288-1293
- Section: Partial Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/154586
- DOI: https://doi.org/10.1134/S0012266117100056
- ID: 154586
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Abstract
We consider a linear first-order ordinary operator-differential equation A(t)u′(t) + B(t)u(t) = f(t) in a Banach space, where the operator A(t) is not invertible in general. Sufficient conditions for the existence, uniqueness, and well-posedness of the Cauchy problem for this equation are obtained.
About the authors
L. Sh. Abdulkerimli
Azerbaijan State Pedagogical University
Author for correspondence.
Email: abdulkerimovas@mail.ru
Azerbaijan, Baku, 370000
Sh. L. Eminova
Azerbaijan State Pedagogical University
Email: abdulkerimovas@mail.ru
Azerbaijan, Baku, 370000
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