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Stability and numerical solutions for second-order ordinary differential equations with application in mechanical systems
This study undertakes a comprehensive analysis of second-order Ordinary Differential Equations (ODEs) to examine animal avoidance behaviors,...
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A Low-Rank Solver for Parameter Estimation and Uncertainty Quantification in Time-Dependent Systems of Partial Differential Equations
In this work we propose a low-rank solver in view of performing parameter estimation and uncertainty quantification in systems of partial...
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Classes of Linear Approximations Providing Different Stability or Instability Types of Differential Systems
AbstractThe paper studies relationships (inclusions, coincidences, and noncoincidences) between classes of linear approximations that provide various...
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Review of Research on the Qualitative Theory of Differential Equations at St. Petersburg University. I. Stable Periodic Points of Diffeomorphisms with Homoclinic Points and Systems with Weakly Hyperbolic Invariant Sets
AbstarctThis paper is the first in a series of review publications devoted to the results of scientific research that has been carried out in the...
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Uniqueness for Riccati equations with application to the optimal boundary control of composite systems of evolutionary partial differential equations
In this article we address the issue of uniqueness for differential and algebraic operator Riccati equations, under a distinctive set of assumptions...
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Existence of meromorphic solutions of systems of partial differential–difference equations
In this paper, we show a sufficient condition on the existence of admissible meromorphic solutions of system of complex partial delay differential...
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Multiperiodic Solutions of Systems of the Equations with Differential Operator in the Direction of a Vector Field
AbstractThe system of the equations with differential operator in the directions of a multiperiodic potential vector field are considered. The...
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On solvability for a class of nonlinear systems of differential equations with the Caputo fractional derivative
We prove solvability and regularity of a solution to a class of fractional nonlinear systems of differential equations with the Caputo derivative by...
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Well-Posedness of the Complex Cauchy Problem for Systems of Partial Differential Equations in Spaces of Entire Functions with Integral Metrics
AbstractWe study the Cauchy problem for general linear systems of complex partial differential equations in Banach spaces of entire vector functions...
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Discussion on the Approximate Controllability of Nonlocal Fractional Derivative by Mittag-Leffler Kernel to Stochastic Differential Systems
This article is primarily targeting the approximate controllability of nonlocal Atangana–Baleanu fractional derivative by Mittag-Leffler kernel to...
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Limit Cycles Bifurcating of Discontinuous and Continuous Piecewise Differential Systems of Isochronous Cubic Centers with Three Zones
We study the maximum number of limit cycles that bifurcate from the periodic annulus of the isochronous cubic centre of discontinuous and continuous...
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Asymptotic Limits of the Solutions of Linear Systems of Functional-Differential Equations with Linear and Constant Delays
We establish new properties of the solutions of linear systems of functional-differential equations with linear and constant delays.
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Extremal Positive Solutions for Hadamard Fractional Differential Systems on an Infinite Interval
In this paper, we deal with the iterative positive solutions for a system of Hadamard fractional differential equations, supplemented with...
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Integrability and limit cycles for a class of multi-parameter differential systems with unstable node point
We exhibit a class of non-linear planar polynomial differential systems. We show that this class has a first integral and we give the explicit...
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Linear Differential Equation Systems III
We further consider 1st order explicit linear differential equation systems,...
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Linear Differential Equation Systems II
We continue to consider 1st order explicit linear differential equation systems,...
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On solutions for several systems of complex nonlinear partial differential equations with two variables
This article is devoted to describe the entire solutions of several systems of the first order nonlinear partial differential equations. By using the...