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Continuity of $L_p$ Balls and an Application to Input-Output Systems
(Pleiades Publishing, 24.02.2022)
In this paper, the continuity of the set-valued map $p\rightarrow B_{\Omega, \mathcal{X},p}$, $p\in (1,+\infty)$, is proved where $B_{\Omega, \mathcal{X},p}$ is the closed ball of radius $r$ in the space $L_p(\Omega, ...
Approximations of the images and integral funnels of the $L_p$ balls under a Urysohn-type integral operator.
(Springer New York, 25.12.2022)
Approximations of the image and integral funnel of a closed ball of the
space $L_p$, $p>1$, under a Urysohn-type integral operator are considered. A closed ball of the space $L_p$, $p>1$, is replaced by a set consisting ...
On the robustness of the integrable trajectories of the control systems with limited control resources
(Polish Academy of Sciences, 14.09.2023)
The control system described by Urysohn type integral equation is considered where the system is nonlinear with respect to the phase vector and is affine with respect to the control vector. The control functions are chosen ...
Approximation of the image of the $L_p$ ball under Hilbert-Schmidt integral operator
(De Gruyter, 14.04.2023)
In this paper an approximation of the image of the closed ball of the space $L_p$ $(p>1)$ centered at the origin with radius $r$ under Hilbert-Schmidt integral operator $F( \cdot ):L_p\rightarrow L_q$, $\frac{1}{p}+\frac{1}{q}=1,$ ...
Urysohn Tür İntegral Denklem ile Verilen Kontrol Sistemin Yörüngeler Kümesinin Özellikleri Üzerine (On the Properties of the Set of Trajectories of the Control System Described by Urysohn Type Integral Equation)
(Düzce Üniversitesi, 30.10.2023)
Bu çalışmada Urysohn tür integral denklem ile verilen control systemin yörüngeler kümesinin özellikleri incelenmektedir. Kontrol fonksiyonların integral kısıtı sağladığı varsayılmaktadır. Yörüngeler kümesinin control ...
On the properties of the set of trajectories of the nonlinear control system with quadratic integral constraint on the control functions
(Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences, 30.06.2023)
In this paper the control system described by a nonlinear differential equation is studied. It is assumed that the control functions have a quadratic integral constraint, more precisely, the admissible control functions ...
On the robustness of continuous trajectories of the control system described by an integral equation
(KOREAN SOC MATHEMATICAL EDUCATION, 30.05.2023)
In this paper the control system described by Urysohn type integral equation is studied. It is assumed that control functions are integrally constrained. The trajectory of the system is defined as multivariable continuous ...
Approximation of the image of the $L_p$ ball under Hilbert-Schmidt integral operator
(De Gruyter, 14.04.2023)
In this paper an approximation of the image of the closed ball of the space $L_p$ $(p>1)$ centered at the origin with radius $r$ under Hilbert-Schmidt integral operator $F( \cdot ):L_p\rightarrow L_q$, $\frac{1}{p}+\frac{1}{q}=1,$ ...
Simultaneous effects of anisotropy and internuclear distance on the D+ 2 complex-related self-polarization in quantum dots
(2023)
In this study, we investigate the simultaneous effects of anisotropy and internuclear distance on the selfpolarization
of the D+2 complex in quantum dots for different confinement sizes. Numerical calculations were
carried ...
The impact of the laser field on the electronic properties of a hydrogen molecular ion in a Gaussian quantum dot
(2023)
In this study, the influence of a circularly polarized non-resonant high-frequency laser field radiation on the
electronic structure of a hydrogen molecular ion formed by two fixed hydrogen-like donor atoms bound to ...