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The Functional Dissipativity of Certain Systems of Partial Differential Equations
We study the functional dissipativity of the Dirichlet problem for systems of partial differential operators of the form ∂ h (
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Four Limit Cycles of Discontinuous Piecewise Differential Systems with Nilpotent Saddles Separated by a Straight Line
The study of discontinuous piecewise differential systems has attracted increasing attention in recent decades as a result of their applications to a...
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Differential Inclusions
Differential inclusions are generalizations of first order, vector differential equations, in which set inclusion replaces equality and the right...
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On solvability of some systems of Fredholm integro-differential equations with mixed diffusion in a square
We establish the existence in the sense of sequences of solutions for a certain system of integro-differential equations in a square in two...
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Stable Solution of the Guaranteed Control Problem for Systems of Differential Equations
We consider the guaranteed control problem for a system of ordinary differential equations under conditions of inaccurate measurement of solutions....
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On the Asymptotic Stability of Hilfer Fractional Neutral Stochastic Differential Systems with Infinite Delay
This article explores the existence and asymptotic stability in the p -th moment of mild solutions to a class of Hilfer fractional neutral stochastic...
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Existence and stability analysis for Caputo generalized hybrid Langevin differential systems involving three-point boundary conditions
This research inscription gets to grips with two novel varieties of boundary value problems. One of them is a hybrid Langevin fractional differential...
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Systems of Matrix Differential Equations for Surfaces
We establish the necessary and sufficient conditions for the equivalence of surfaces with respect to the action of a special pseudo-orthogonal group.
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Differential Equations
The aim of this chapter is to present a brief introduction to the theory of ordinary differential equations. The main focus is on systems of linear...
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Analysis of mathematical model involving nonlinear systems of Caputo–Fabrizio fractional differential equation
In this paper, we consider a mathematical model of a coronavirus disease involving the Caputo–Fabrizio fractional derivative by dividing the total...
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Normal Forms for Difference and Differential Systems
In this paper, we investigate parameterized difference systems, which can yield normal forms of vector fields and diffeomorphisms together. Using it,...
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On Meromorphic Solutions of the Systems of Linear Differential Equations with Meromorphic Coefficients
For systems of linear differential equations whose dimensionality can be reduced, we obtain estimates for the growth rate of meromorphic vector...
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Non-autonomous Differential Systems with Delays: A Global Attraction Analysis
In this paper, we derive criteria of global attractivity of a (possibly constant) positive periodic solution in non-autonomous systems of delay...
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Second-order impulsive differential systems of mixed type: oscillation theorems
In this paper, we obtain necessary and sufficient conditions for the oscillation of solutions to a second-order neutral differential equation with...
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Generalized Fractional Differential Systems with Stieltjes Boundary Conditions
In this work, we study the existence of solutions to a new class of boundary value problems consisting of a system of nonlinear differential...
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A variable step-size implementation of the hybrid Nyström method for integrating Hamiltonian and stiff differential systems
The approximate solution to second-order Hamiltonian and stiff differential systems is obtained using an efficient hybrid Nyström method (HNM) in...
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ON RANDOM FRACTIONAL DIFFERENTIAL COUPLED SYSTEMS WITH HILFER–KATUGAMPOLA FRACTIONAL DERIVATIVE IN BANACH SPACES
This paper delves into the investigation of existence and uniqueness results concerning the Hilfer–Katugampola random nonlinear fractional...
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Existence results of a nonlocal impulsive fractional stochastic differential systems with Atangana–Baleanu derivative
The study of this work ensures the existence results of a class of Atangana–Baleanu (A–B) fractional stochastic differential equations with...
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On approximate controllability of semi-linear neutral integro-differential evolution systems with state-dependent nonlocal conditions
This paper is concerned with the approximate controllability of a class of semi-linear neutral integro-differential equation with nonlocal condition....