Results 11 to 20 of about 1,694,073 (353)

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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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
core   +2 more sources

Differential Equations for Algebraic Functions [PDF]

, 2007
It is classical that univariate algebraic functions satisfy linear differential equations with polynomial coefficients. Linear recurrences follow for the coefficients of their power series expansions.
Bostan, Alin, Chyzak, Frédéric, Lecerf, Grégoire, Salvy, Bruno, Schost, Éric   +4 more
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Lie Point Symmetries, Traveling Wave Solutions and Conservation Laws of a Non-linear Viscoelastic Wave Equation

Mathematics, 2021
This paper studies a non-linear viscoelastic wave equation, with non-linear damping and source terms, from the point of view of the Lie groups theory.
Almudena P. Márquez, María S. Bruzón
doaj   +1 more source

Wintner-type nonoscillation theorems for conformable linear Sturm-Liouville differential equations [PDF]

Opuscula Mathematica
In this study, we addressed the nonoscillation of th Sturm-Liouville differential equation with a differential operator, which corresponds to a proportional-derivative controller. The equation is a conformable linear differential equation. A Wintner-type
Kazuki Ishibashi
doaj   +1 more source

Half-linear Euler differential equation and its perturbations

Electronic Journal of Qualitative Theory of Differential Equations, 2016
We investigate oscillatory properties of perturbed half-linear Euler differential equation. We give an alternative proof (simpler and more straightforward) of the main result of [O. Došlý, H. Funková, Abstr. Appl. Anal. 2012, Art. ID 738472] and we prove
Ondrej Dosly
doaj   +1 more source

Teknik Penentuan Solusi Sistem Persamaan Diferensial Linear Non-Homogen Orde Satu

Matematika, 2019
Abstrak. Penentuan solusi sistem persamaan diferensial linear non-homogen orde satu dengan koefisien konstanta, dilakukan dengan mengubah sistem persamaan tersebut menjadi persamaan diferensial linear non homogen tunggal.
Ahmad Nurul Hadi, Eddy Djauhari, Asep K Supriatna, Muhamad Deni Johansyah   +3 more
doaj   +1 more source

Confluence of meromorphic solutions of q-difference equations [PDF]

, 2015
In this paper, we consider a q-analogue of the Borel-Laplace summation where q>1 is a real parameter. In particular, we show that the Borel-Laplace summation of a divergent power series solution of a linear differential equation can be uniformly ...
Dreyfus, Thomas
core   +2 more sources

Exponential Stabilization of Linear Time-Varying Differential Equations with Uncertain Coefficients by Linear Stationary Feedback

Mathematics, 2020
We consider a control system defined by a linear time-varying differential equation of n-th order with uncertain bounded coefficients. The problem of exponential stabilization of the system with an arbitrary given decay rate by linear static state or ...
Vasilii Zaitsev, Inna Kim
doaj   +1 more source

Explicit Solutions to Large Deformation of Cantilever Beams by Improved Homotopy Analysis Method I: Rotation Angle

Applied Sciences, 2022
An improved homotopy analysis method (IHAM) is proposed to solve the nonlinear differential equation, especially for the case when nonlinearity is strong in this paper.
Yinshan Li, Xinye Li, Shuhao Huo, Chen Xie   +3 more
doaj   +1 more source