Study of functional-differential equations with unbounded operator coefficients
- 作者: Vlasov V.1, Rautian N.1
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隶属关系:
- Faculty of Mechanics and Mathematics
- 期: 卷 96, 编号 3 (2017)
- 页面: 620-624
- 栏目: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225433
- DOI: https://doi.org/10.1134/S1064562417060291
- ID: 225433
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详细
Functional-differential and integro-differential equations with the principal part being an abstract hyperbolic equation perturbed by terms with unbounded variable operator coefficients multiplying variable delays are studied. Additionally, Volterra integral operators are considered. For the equations under study, the well-posedness of initial value problems in Sobolev spaces of vector functions is proved. In the autonomous case, spectral analysis of the operator functions that are the symbols of the indicated equations is performed.
作者简介
V. Vlasov
Faculty of Mechanics and Mathematics
编辑信件的主要联系方式.
Email: vikmont@yandex.ru
俄罗斯联邦, Moscow, 119992
N. Rautian
Faculty of Mechanics and Mathematics
Email: vikmont@yandex.ru
俄罗斯联邦, Moscow, 119992