Browsing by Author "Musaev, Hummet K."

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    NONLOCAL PROBLEMS FOR BOUSSINESQ EQUATIONS
    (Baku State Univ, inst Applied Mathematics, 2020) Shakhmurov, Veli B.; Musaev, Hummet K.
    In this paper, the existence and uniqueness of solution of the integral boundary value problem for abstract Boussinesq equations are obtained. The equation includes a linear operator A defined in a Banach space E, in which by choosing E and A we can obtain numerous classes of nonlocal initial value problems for Boussinesq equations which occur in a wide variety of physical systems.
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    Article
    Citation Count: 7
    Regularity properties of degenerate convolution-elliptic equations
    (Springer, 2016) Musaev, Hummet K.; Shakhmurov, Veli B.
    The coercive properties of degenerate abstract convolution-elliptic equations are investigated. Here we find sufficient conditions that guarantee the separability of these problems in L-p spaces. It is established that the corresponding convolution-elliptic operator is positive and is also a generator of an analytic semigroup. Finally, these results are applied to obtain the maximal regularity properties of the Cauchy problem for a degenerate abstract parabolic equation in mixed L-p norms, boundary value problems for degenerate integro-differential equations, and infinite systems of degenerate elliptic integro-differential equations.