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Aggregation and Decomposition of Systems of Partial Differential Equations and Control Systems with Distributed Parameters
AbstractThe aggregation (consolidated, simplified representation) of systems of partial differential equations and control systems with distributed...
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Differential Systems with Positive Variables
The variables of biological, ecological, or chemical systems are often positive, because they measure concentrations, numbers, ...We study polynomial...
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Limit Cycles of Continuous Piecewise Smooth Differential Systems
From the beginning of this century many articles have been published on the continuous and discontinuous piecewise differential systems specially in...
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State observer of multibody systems formulated using differential algebraic equations
Multibody dynamics comprises methodologies for the design and analysis of mechanical systems, with Kalman filters being the principal state...
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Singularly Perturbed Integro-Differential Systems with Kernels Depending on Solutions of Differential Equations
AbstractWe consider integro-differential equations (IDEs) with a rapidly oscillating inhomogeneity and with a Volterra-type integral operator whose...
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The limit cycles of a class of piecewise differential systems
In this century many papers have been published on the piecewise differential systems in the plane. The increasing interest for this class of...
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Representations of solutions of systems of time-fractional pseudo-differential equations
Systems of fractional order differential and pseudo-differential equations are used in modeling of various dynamical processes. In the analysis of...
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Partial Stability of Systems of Itô Linear Delay Differential Equations
AbstractWe study the moment stability of solutions in part of the variables with respect to the initial data for systems of Itô linear delay...
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Markovian-Switching Systems: Backward and Forward-Backward Stochastic Differential Equations, Mean-Field Interactions, and Nonzero-Sum Differential Games
This work is devoted to Markovian-switching systems. In particular, backward stochastic differential equations (BSDEs), forward-backward stochastic...
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Linear Quadratic Optimal Control for Systems Governed by First-Order Hyperbolic Partial Differential Equations
This paper focuses on linear-quadratic (LQ) optimal control for a class of systems governed by first-order hyperbolic partial differential equations...
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Oriented Rotatability Exponents of Solutions to Homogeneous Autonomous Linear Differential Systems
We fully study the oriented rotatability exponents of solutions to homogeneous autonomous linear differential systems and establish that the strong...
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Dynamics of Systems with Unilateral Differential Constraints
AbstractA dynamical system with constraints in the form of linear differential inequalities is considered. It is proved that, in the general case,...
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Boundary-Value Problems for Differential Systems with Pulsed Action
We establish the coefficient necessary and sufficient conditions for the existence of solutions of weakly nonlinear boundary-value problems for...
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Equivalent Differential Equations in Problems of Control Theory and the Theory of Hamiltonian Systems
AbstractNew approaches are proposed in the problem of constructing equivalent scalar differential equations for multidimensional nonlinear systems...
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Phase Portraits of a Class of Continuous Piecewise Linear Differential Systems
The phase portraits of the planar linear differential systems are very well known. This is not the case for the phase portraits of the planar...
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Nonlinear Systems of Fractional Differential Equations
This book studies the theoretical aspects for a variety of coupled fractional differential systems involving Riemann-Liouville,...
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Limit cycles of polynomial differential systems of degree 1 and 2 on the cylinder
We consider planar polynomial differential systems of degree 1 and 2 on the cylinder and we study their limit cycles. We prove that such linear...
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Systems of Differential Equations
A system of ordinary differential equations consists of several equations containing derivatives of unknown functions of one variable.
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Optimal Control Over Systems of Functional-Differential Equations With Infinite Delay
We consider the optimal control problem for systems with infinite memory whose models are described by functional-differential equations. We prove...
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Examples of Autonomous Differential Systems with Contrasting Combinations of Lyapunov, Perron, and Upper-Limit Stability Measures
AbstractNew characteristics of differential systems are studied, which meaningfully develop the concepts of Lyapunov, Perron, and upper limit...