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Найденный: 3 Экземпляр 0.001 sn
Базы данных : Springer ✕Ученые : Samandar İSKANDAROV ✕
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Prof. Dr. Samandar İSKANDAROVFen Fakültesi
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On the Method of Lyapunov Functionals for a Linear First-Order Volterra Integrodifferential Equation with Delay on the Semiaxis

Samandar İSKANDAROV

Sufficient conditions are established to ensure the estimation, boundedness, power-law absolute integrability on the semiaxis, the tendency to zero under the tendency to infinity of the independent variable of all solutions of the linear Volterra integrodifferential equation of the first order with delay. For this purpose, a generalized Lyapunov functional is constructed. An illustrative example is presented. Keyword: absolute integrability; argument lag; boundedness; estimation; generalized method of Lyapunov functionals; tending to zero of solutions; Volterra integrodifferential equation of ...Более

Статья 2023 Fen Fakültesi Moscow University Mathematics Bulletin78 ( 3 ) 18 Просмотры
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About Power Absolute Integrated of the Solution of Volterra System of Linear Second Kind Integral Equations on Half-axis

Samandar İSKANDAROV

Sufficient conditions are established such as the sign of the functions of absolute and quadratic integrability on the half-axis of the components of the solution of a linear system of Volterra-type integral equations of the second kind in the new formulation, namely, without the assumption that the components of the free term possess the properties under study. To achieve the intended goals, the matrix method of weight functions, the matrix method of cutting functions, the matrix method of partial cutting of the author, and the method of integral inequalities of Ya. V. Bykov are developed. Th ...Более

Статья 2021 Fen Fakültesi Lobachevskii Journal of Mathematics42 ( 3 ) 98 Просмотры
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Specific Asymptotic Stability of Solutions to a Linear Homogeneous Volterra Integro-Differential Equation of the Fourth Order

Samandar İSKANDAROV

Sufficient conditions for the asymptotic stability of solutions to a fourth-order linear homogeneous Volterra integro-differential equation are established in the case where any nonzero solution to the corresponding linear homogeneous differential equation of the fourth order is not asymptotically stable. An illustrative example is given.

Статья 2021 Fen Fakültesi Moscow University Mathematics Bulletin76 ( 1 ) 96 Просмотры
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