Browsing by Author "Musaev,H."
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Article Citation Count: 13MAXIMAL REGULAR CONVOLUTION-DIFFERENTIAL EQUATIONS IN WEIGHTED BESOV SPACES(Institute of Applied Mathematics of Baku State University, 2017) Shakhmurov,V.; Musaev,H.By using Fourier multiplier theorems, the maximal regularity properties of abstract convolution differential equations in weighted Besov spaces are investigated. It is shown that the corresponding convolution differential operators are positive and generate analytic semi-groups in abstract Besov spaces. Then, the well-posedness of the Cauchy problem for parabolic convolution–operator equation is established. Moreover, these results are used to establish maximal regularity properties for system of integro-differential equations of finite and infinite orders. © 2017, Institute of Applied Mathematics of Baku State University. All rights reserved.Article Citation Count: 8Separability properties of convolution-differential operator equations in weighted Lp spaces(Azerbaijan National Academy of Sciences, 2015) Shakhmurov,V.; Musaev,H.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. © 2015, Azerbaijan National Academy of Sciences. All rights reserved.
