Results 1 to 10 of about 178,070,624 (286)
Infinite System of Differential Equations in Some Spaces [PDF]
Abstract and Applied Analysis, 2012 The first measure of noncompactness was defined by Kuratowski in 1930 and later the Hausdorff measure of noncompactness was introduced in 1957 by Goldenštein et al.
M. Mursaleen, Abdullah Alotaibi
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Differential Game for an Infinite System of Two-Block Differential Equations
Mathematics, 2022 We present a pursuit differential game for an infinite system of two-block differential equations in Hilbert space l2. The pursuer and evader control functions are subject to integral constraints.
Gafurjan Ibragimov +3 more
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Mathematics, 2022 In this article, a scalar nonlinear integro-differential equation of second order and a non-linear system of integro-differential equations with infinite delays are considered.
Cemil Tunç, Osman Tunç
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Mathematics, 2022 We study a differential evasion game of multiple pursuers and an evader governed by several infinite systems of two-block differential equations in the Hilbert space l2. Geometric constraints are imposed on the players’ control functions. If the state of
Gafurjan Ibragimov +2 more
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Boundary value problem for an infinite system of second order differential equations in $\ell_p$ spaces [PDF]
Mathematica Bohemica, 2020 The concept of measures of noncompactness is applied to prove the existence of a solution for a boundary value problem for an infinite system of second order differential equations in $\ell_p$ space.
Ishfaq Ahmad Malik, Tanweer Jalal
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Asymptotics for Infinite Systems of Differential Equations [PDF]
SIAM Journal on Control and Optimization, 2017 This paper investigates the asymptotic behavior of solutions to certain infinite systems of ordinary differential equations. In particular, we use results from ergodic theory and the asymptotic theory of $C_0$-semigroups to obtain a characterization, in terms of convergence of certain Cesàro averages, of those initial values which lead to convergent ...
Lassi Paunonen, David Seifert
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Differential Games for an Infinite 2-Systems of Differential Equations [PDF]
Mathematics, 2021 A pursuit differential game described by an infinite system of 2-systems is studied in Hilbert space l2. Geometric constraints are imposed on control parameters of pursuer and evader. The purpose of pursuer is to bring the state of the system to the origin of the Hilbert space l2 and the evader tries to prevent this.
Muminjon Tukhtasinov +3 more
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On the Stability and Null-Controllability of an Infinite System of Linear Differential Equations [PDF]
Journal of Dynamical and Control Systems, 2021 AbstractIn this work, the null controllability problem for a linear system in ℓ2 is considered, where the matrix of a linear operator describing the system is an infinite matrix with $\lambda \in \mathbb {R}$ λ ∈ ℝ on the main diagonal and 1s above it.
Azamov, Abdulla +3 more
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Evasion Differential Game of Multiple Pursuers and a Single Evader with Geometric Constraints in ℓ2
Games, 2023 We investigate a differential evasion game with multiple pursuers and an evader for the infinite systems of differential equations in ℓ2. The control functions of the players are subject to geometric constraints.
Gafurjan Ibragimov +3 more
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Adapting the range of validity for the Carleman linearization [PDF]
Advances in Radio Science, 2016 In this contribution, the limitations of the Carleman linearization approach are presented and discussed. The Carleman linearization transforms an ordinary nonlinear differential equation into an infinite system of linear differential equations. In order
H. Weber, W. Mathis
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