Results 241 to 250 of about 245,826 (285)

Optical solutions to the time fractional Akbota equation arising in nonlinear optics via two distinct methods. [PDF]

Sci Rep
Mahmood SS, Boulaaras SM, Murad MAS, Malik S.   +3 more
europepmc   +1 more source

Parameter Selection in Coupled Dynamical Systems for Tomographic Image Reconstruction. [PDF]

J Imaging
Kasai R, Al-Ola OMA, Yoshinaga T.
europepmc   +1 more source

Exploring the exact solutions to the nonlinear systems with neural networks method. [PDF]

Sci Rep
Muhammad J, Tedjani AH, Hussain E, Younas U.   +3 more
europepmc   +1 more source

On Algebraic Differential Equations

On Algebraic Differential Equations
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Differential Equations in Banach Algebras

Doklady Mathematics, 2020
In a complex Banach algebra \(\mathbb{B}\) the ordinary linear differential equation \[ \mathbf{x}^{(n)} + \mathbf{p}_1\mathbf{x}^{(n-1)} + \dots + \mathbf{p}_{n-1}\dot{\mathbf{x}} + \mathbf{p}_ n \mathbf{x} = 0 \tag{1} \] with constant coefficients is considered.
Perov, A. I., Kostrub, I. D.
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On the Reduction of Differential Equations to Algebraic Equations

SIAM Journal on Mathematical Analysis, 1970
Abstract : Techniques based upon elementary group theory for the reduction of a given system of partial differential equations to a system of differential equations in fewer independent variables are extended in this report. Specifically, the extension is aimed at reducing a given system to a system of algebraic equations. (Author)
Moran, M. J., Gaggioli, R. A.
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On output stabilizability of differential–algebraic equations

Systems & Control Letters, 2022
The author studies output stabilizability of differential-algebraic systems. Two different notions of stability, an asymptotic one and one based on the \(\mathrm{L}^q\)-norm of the output are compared and shown be equivalent. To introduce the use of the main concepts of output injection and the Kalman observability decomposition, the author begins with
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A Differentiation Index for Partial Differential-Algebraic Equations

SIAM Journal on Scientific Computing, 2000
Summary: A differentiation index for nonlinear partial differential-algebraic equations is presented. Determination of the differentiation index with respect to a direction in the space of independent variables uncovers all equations that must be satisfied by the Cauchy data on the hyperplane orthogonal to that direction.
Wade S. Martinson, Paul I. Barton
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Solvability of General Differential Algebraic Equations

SIAM Journal on Scientific Computing, 1995
Summary: In the last few years there has been considerable research on differential algebraic equations (DAE) \(f(t,x,x') = 0\) where \(f_{x'}\) is identically singular. Most of this effort has focused on computing a solution that is assumed to exist. That is, the DAE is assumed solvable.
Stephen L. Campbell, E. Griepentrog
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