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Constructive Solution to Inverse Scattering Problem for Differential Systems with a Singularity
AbstractThe inverse scattering problem for differential systems with a singularity is considered. The problem is reduced to a certain linear...
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Poisson Total Boundedness and Total Oscillability of Solutions to Systems of Differential Equations
This is a continuation of the author’s study of some special form of boundedness of solutions to systems of differential equations, namely, their...
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The existence and averaging principle for Caputo fractional stochastic delay differential systems
In this paper, we first establish the existence and uniqueness theorem for solutions of Caputo type fractional stochastic delay differential systems...
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Algebraic Invariants and Local Stability of Planar Differential Systems
In this paper, we are interested in the local stability of planar polynomial differential systems. We develop a method to determine the resolvent of...
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Optimal control of higher-order Hilfer fractional non-instantaneous impulsive stochastic integro-differential systems
Nowadays, engineers and biochemical industries have benefited greatly from optimal control analysis and its computational methods. Furthermore, the...
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Hidden and Singular Attractors in Nonlinear Systems of Differential Equations
The concept of a “hidden” attractor is widely used in the modern literature on autonomous nonlinear chaotic systems of ordinary differential...
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Properties of Degenerate Systems of Linear Integro-Differential Equations and Initial Value Problems for These Equations
AbstractWe consider systems of higher order integro-differential equations in which the matrix multiplying the highest derivative of the unknown...
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A Succinct Characterization of Period Annuli in Planar Piecewise Linear Differential Systems with a Straight Line of Nonsmoothness
We close the problem of the existence of crossing period annuli in planar piecewise linear differential systems with a straight line of...
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On the fractional perturbed neutral integro-differential systems via deformable derivatives: an existence study
In this paper, we provide some appropriate conditions for the existence of solutions for a perturbed fractional neutral integro-differential system...
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Pursuit Problem for Fractional Differential Systems with Pure Delay
The pursuit problem for linear fractional differential systems with pure delay is considered. A scheme of the method of resolving functions for these...
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Boundary-Value Problem for a Class of Nonlinear Systems of Partial Differential Equations of Higher Orders
We study a boundary-value problem for a class of nonlinear systems of partial differential equations of higher orders. For this problem, we establish...
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Mathematical Modeling of Spatially Distributed Systems Polynomially Dependent on Linear Differential Transformations of the State Function
The initial–boundary-value problems of the dynamics of nonlinear spatially distributed systems are formulated and solved using the root-mean-square...
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Examples of Differential Systems with Contrasting Combinations of Lyapunov, Perron, and Upper-Limit Properties
AbstractA number of examples of systems of differential equations are given that have, in a sense, opposite properties of stability or instability of...
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On Systems of Integro-Differential and Integral Equations with Identically Singular Matrix Multiplying the Principal Part
AbstractWe consider linear homogeneous systems of integro-differential and integral equations with Volterra and Fredholm matrix kernels with zero...
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A Bound for a Typical Differential Dimension of Systems of Linear Differential Equations
We prove upper and lower bounds for the leading coefficient of Kolchin dimension polynomial of systems of partial linear differential equations in...
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Applying Differential-Geometric Control Theory Methods in the Theory of Partial Differential Equations. III
AbstractWe consider the symmetries of partial differential equations based on the use of differential-geometric and algebraic methods of the theory...
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Finite time stability and relative controllability of second order linear differential systems with pure delay
We first consider the finite time stability of second order linear differential systems with pure delay via giving a number of properties of delayed...
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Ordinary Differential Equations and Linear Systems of Ordinary Differential Equations
In this chapter, we provide a method for solving systems of linear ordinary differential equations by using techniques associated with the...