Input-to-State Stability of Linear Stochastic Functional Differential Equations
The purpose of the paper is to show how asymptotic properties, first of all stochastic Lyapunov stability, of linear stochastic functional differential equations can be studied via the property of solvability of the equation in certain pairs of spaces of
Ramazan Kadiev, Arcady Ponosov
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Cauchy type problems of linear Riemann-Liouville fractional differential equations with variable coefficients [PDF]
Myong-Ha Kim +3 more
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Regularization of non-linear measure differential equations
The Cauchy problem for a non-linear system of regularized measure differential equations is studied. It is proved that the solutions of the regularized problems converges to a solution of an integral equation involving measures.
Jan Persson
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Optimal Hyers-Ulam’s constant for the linear differential equations
In this paper, we will obtain the optimal Hyers-Ulam’s constant for the first-order linear differential equations p ( t ) y ′ ( t ) − q ( t ) y ( t ) − r ( t ) = 0 $p(t)y'(t) - q(t)y(t) - r(t) = 0$ .
Soon-Mo Jung, Jaiok Roh, Juri Lee
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Asymptotic Limits of the Solutions of Linear Systems of Functional-Differential Equations with Linear and Constant Delays [PDF]
H. P. Pelyukh, D. V. Bel’skyi
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Boundary-Value Problem for a System of Linear Inhomogeneous First-Order Differential Equations with Rectangular Matrices on the Entire Axis [PDF]
M. A. Elishevich
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Approximation of Linear Differential Equations with variable delay on an\n Infinite Interval [PDF]
Daniel Sepúlveda
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Uniform exponential stability of linear periodic systems in a Banach space
This article is devoted to the study of linear periodic dynamical systems, possessing the property of uniform exponential stability. It is proved that if the Cauchy operator of these systems possesses a certain compactness property, then the asymptotic ...
David N. Cheban
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On Perturbation of Unstable Second Order Linear Differential Equations [PDF]
L. Hatvani, L. Pinter
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Deformations of Fuchsian Systems of Linear Differential Equations and the Schlesinger System [PDF]
Victor Katsnelson, Dan Volok
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