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On the Stability of the Solutions of Inverse Problems for Elliptic Equations
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-05)The inverse problems on finding the unknown lower coefficient in linear and nonlinear second- order elliptic equations with integral overdetermination conditions are considered. The conditions of overdetermination are ... -
Simulation of the Process of Frost Formation on the Surface of the Heat Exchanger Fin
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-05)The paper considers the process of heat and mass transfer during the flow of moist air and formation of frost in the inter-fin space of an air heat exchanger at temperature below 0oC. The mathematical model is based on ... -
On the p-fold Well-posedness of Higher Order Abstract Cauchy Problem
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-05)In this paper, we establish sufficient conditions for the p-fold well-posedness of higher-order abstract Cauchy problem. These conditions are expressed in terms of decay of some auxiliary pencils derived from the ... -
On Periodic Bilinear Threshold GARCH models
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-05)Periodic Generalized Autoregressive Conditionally Heteroscedastic (P GARCH) models were introduced by Bollerslev et Ghysels. These models have gained considerable interest and continued to attract the attention of ... -
The Weighted Hardy Operators and Quasi-monotone Functions
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-05)Some Hardy-type inequalities are established by W. T. Sulaiman. The aim of this work is to extend these inequalities for weighted Hardy operators with quasi-monotone functions. Moreover some new integral weighted ...