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On the Integration of Linear Differential Equations [PDF]
Proceedings of the London Mathematical Society, 1902 n ...
H. F. Baker
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Bounded on the semi-axis multiperiodic solution of a linear finite-hereditarity integro-differential equation of parabolic type [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 The question of the existence of a solution of linear integro-differential systems of parabolic type limited on the semiaxis in a spatial variable and multiperiodic in time variables was considered.
Zh.A. Sartabanov, G.M. Aitenova
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Generalized linear differential equation using Hyers-Ulam stability approach
AIMS Mathematics, 2021 In this paper, we study the Hyers-Ulam stability with respect to the linear differential condition of fourth order. Specifically, we treat ${\psi}$ as an interact arrangement of the differential condition, i.e., where ${\psi} \in c^4 [{\ell}, {\mu}]
Bundit Unyong +7 more
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About zeros of some oscillations with dynamic friction [PDF]
INCAS Bulletin, 2014 Consider a second order differential non-linear equation having free boundary value conditions. Let be a solution having infinity of unknown zeros. The integral of energy gives the implicit correlation between the successive modules of the extreme ...
Nicolae MARCOV
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Adapting the range of validity for the Carleman linearization [PDF]
Advances in Radio Science, 2016 In this contribution, the limitations of the Carleman linearization approach are presented and discussed. The Carleman linearization transforms an ordinary nonlinear differential equation into an infinite system of linear differential equations. In order
H. Weber, W. Mathis
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Hille-Nehari type oscillation and nonoscillation criteria for linear and half-linear differential equations [PDF]
MATEC Web of Conferences, 2019 Differential equations attract considerable attention in many applications. In particular, it was found out that half-linear differential equations behave in many aspects very similar to that in linear case. The aim of this contribution is to investigate
Rˇ eznícˇková Jana
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AIMS Mathematics, 2023 In this paper, a new class of extended (2+1)-dimensional Ito equations is investigated for its group invariant solutions. The Lie symmetry method is employed to transform the nonlinear Ito equation into an ordinary differential equation.
Ziying Qi, Lianzhong Li
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Moment Boundedness of Linear Stochastic Delay Differential Equation with Distributed Delay [PDF]
, 2012 This paper studies the moment boundedness of solutions of linear stochastic delay differential equations with distributed delay. For a linear stochastic delay differential equation, the first moment stability is known to be identical to that of the ...
Lei, Jinzhi, Li, Xiong, Wang, Zhen
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Differential Equivalence for Linear Differential Algebraic Equations [PDF]
IEEE Transactions on Automatic Control, 2022 Differential-algebraic equations (DAEs) are a widespread dynamical model that describes continuously evolving quantities defined with differential equations, subject to constraints expressed through algebraic relationships. As such, DAEs arise in many fields ranging from physics, chemistry, and engineering.
Stefano Tognazzi +3 more
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Picard-Vessiot Extensions of Real Differential Fields [PDF]
, 2019 For a linear differential equation defined over a formally real differential field K with real closed field of constants k, Crespo, Hajto and van der Put proved that there exists a unique formally real Picard- Vessiot extension up to K-differential ...
Crespo, Teresa, Hajto, Zbigniew
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