SEPARABILITY PROPERTIES OF CONVOLUTION-DIFFERENTIAL OPERATOR EQUATIONS IN WEIGHTED <i>L<sub>p</sub></i> SPACES
No Thumbnail Available
Date
2015
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Ministry Communications & High Technologies Republic Azerbaijan
Abstract
In the present paper, separability properties of convolution - differential operator equations with unbounded operator coefficients in Banach space-valued weighted L-p-class are investigated. The coercive estimate for resolvent of the corresponding realization operator, especially its R - positivity is obtained. Finally, these results an applied to establish well-posedeness of the Cauchy problem for the abstract parabolic convolution equations and system of finite and infinite order integro-differential equations.
Description
Keywords
Separability Properties, Cauchy Problem, Banach Space, Fourier Transform
Turkish CoHE Thesis Center URL
WoS Q
Q1
Scopus Q
Q1
Source
Volume
14
Issue
2
Start Page
221
End Page
233