Linear Systems of Differential Equations
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DOI: 10.1007/978-3-030-20506-5_3
Abstract: In Sect. 1.1, we considered how the amount of salt present in a system of two tanks can be modeled through a system of differential equations. read more here.
Keywords: systems differential; linear systems; equations linear; differential equations ... See more keywords
Automated solution of first order factorizable systems of differential equations in one variable
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DOI: 10.1016/j.nuclphysb.2018.12.010
Abstract: Abstract We present an algorithm which allows to solve analytically linear systems of differential equations which factorize to first order. The solution is given in terms of iterated integrals over an alphabet where its structure… read more here.
Keywords: order; first order; systems differential; differential equations ... See more keywords
Stability of solutions to linear impulsive systems of Itô differential equations with aftereffect with respect to initial data in part of variables
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DOI: 10.1134/s0012266117010037
Abstract: The method of model equations is used to study the moment stability of solutions to linear impulsive systems of Itô differential equations with aftereffect with respect to initial data in part of variables. Sufficient conditions… read more here.
Keywords: systems differential; stability solutions; linear impulsive; differential equations ... See more keywords
Adaptation of the Novel Cubic B-Spline Algorithm for Dealing with Conformable Systems of Differential Boundary Value Problems concerning Two Points and Two Fractional Parameters
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DOI: 10.1155/2023/5322092
Abstract: Recently, conformable calculus has appeared in many abstract uses in mathematics and several practical applications in engineering and science. In addition, many methods and numerical algorithms have been adapted to it. In this paper, we… read more here.
Keywords: spline; conformable systems; systems differential; differential boundary ... See more keywords
Conjugation Conditions for Systems of Differential Equations of Different Orders on a Star Graph
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DOI: 10.3390/sym14091761
Abstract: In this paper, a one-dimensional mathematical model for investigating the vibrations of structures consisting of elastic and weakly curved rods is proposed. The three-dimensional structure is replaced by a limit graph, on each arc of… read more here.
Keywords: star graph; conjugation conditions; symmetry; systems differential ... See more keywords