Title of article :
SEPARABILITY PROPERTIES OF CONVOLUTION-DIFFERENTIAL OPERATOR EQUATIONS IN WEIGHTED Lp SPACES
Author/Authors :
SHAKHMUROV, V. Okan University - Department of Mechanical Engineering, Turkey , SHAKHMUROV, V. Azerbaijan National Academy of Sciences - Institute of Mathematics and Mechanics, Azerbaijan , MUSAEV, H. Baku State University - Institute of Applied Mathematics, Azerbaijan
Abstract :
In the present paper, separability properties of convolution - differential operator equations with unbounded operator coefficients in Banach space-valued weighted Lp-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 wellposedeness of the Cauchy problem for the abstract parabolic convolution equations and system of finite and infinite order integro-differential equations.
Keywords :
Separability Properties , Cauchy Problem , Banach Space , Fourier Transform.
Journal title :
Applied and Computational Mathematics
Journal title :
Applied and Computational Mathematics
