SEPARABILITY PROPERTIES OF CONVOLUTION-DIFFERENTIAL OPERATOR EQUATIONS IN WEIGHTED <i>L<sub>p</sub></i> SPACES

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Date

2015

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