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Comparison Theorems from the Theory of Monotone Dynamical Systems for Linear Systems of Functional-Differential Equations with Linearly Transformed Argument
We find new properties of solutions to the linear systems of functional-differential equations with linearly transformed argument.
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Exponential Stability and Estimates of Solutions to Systems of Functional Differential Equations
AbstractFor systems of linear autonomous delay differential equations, we develop a method for studying stability, which consists in constructing an...
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Nonanalytic First Integrals of Analytic Systems of Differential Equations in a Neighborhood of Stable Equilibria
AbstractIn even-dimensional phase spaces, we give examples of analytic systems of differential equations that have isolated equilibria and admit...
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Limit Cycles of Discontinuous Piecewise Differential Systems Formed by Linear and Cubic Centers via Averaging Theory
Finding the number of limit cycles, as described by Poincaré (Memoire sur les coubes definies par une equation differentielle, Editions Jacques...
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Operator splitting based dynamic iteration for linear differential-algebraic port-Hamiltonian systems
A dynamic iteration scheme for linear differential-algebraic port-Hamiltonian systems based on Lions–Mercier-type operator splitting methods is...
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Differential–algebraic systems with dissipative Hamiltonian structure
Different representations of linear dissipative Hamiltonian and port-Hamiltonian differential–algebraic equations (DAE) systems are presented and...
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Optimal Positional Strategies in Differential Games for Neutral-Type Systems
The paper deals with a zero-sum differential game for a dynamical system described by neutral-type functional-differential equations in Hale’s form...
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Limit Cycles in Discontinuous Planar Piecewise Differential Systems with Multiple Nonlinear Switching Curves
In this paper, we investigate the maximum number of limit cycles that can bifurcate from the periodic annulus of the linear center for discontinuous...
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Are delay-differential systems generically controllable?
In this paper, we study controllability properties of time-invariant linear delay-differential (d-d) systems with a single delay in the pseudo-state....
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Systems of Differential Equations
This chapter is dedicated to systems of differential equations. We state and prove the existence and uniqueness theorem for the Cauchy problem in...
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Coupled Systems for Fractional Differential Equations
This chapter deals Coupled Systemswith some existence and uniquenessUniqueness results for a class of coupled systemsCoupled Systems for nonlinear...
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pth Moment exponential stability of stochastic delayed differential systems with impulsive control involving delays
This paper studies the p th moment exponential stability of stochastic delayed differential systems with impulsive control involving delays. By using...
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Differential Galoisian approach to Jacobi integrability of general analytic dynamical systems and its application
The Morales-Ramis theory provides an effective and powerful non-integrability criterion for complex analytic Hamiltonian systems via the differential...
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On Solution of First-Order Linear Systems of Partial Differential Equations
Explicit formulas for solving a system of first-order partial differential equations are obtained. The solution of the system with initial conditions...
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Hybrid model for the optimal numerical solution of nonlinear ordinary differential systems
In this article, we solve a class of coupled systems of nonlinear differential equations with appropriate initial, boundary, and four-point boundary...
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On convergence of waveform relaxation for nonlinear systems of ordinary differential equations
To integrate large systems of nonlinear differential equations in time, we consider a variant of nonlinear waveform relaxation (also known as dynamic...
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Conditions for Local Parameter Identifiability for Systems of Differential Equations with an Infinite-Dimensional Parameter
AbstractThe problem of parametric identification (determining the parameters of a system by observing solutions or functions of them) is one of the...
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