Results 281 to 290 of about 22,980 (304)

Algebraic solutions of algebraic differential equations

Applied Mathematics-A Journal of Chinese Universities, 2005
The author gives a condition under which a second-order algebraic differential equation has an algebraic solution. Let \(a_0\dots, a_p\), \(b_0,\dots, q\) be nonzero entire functions of one variable such that they have a finite number of poles and without common zero, and consider the following equation: \[ (w'')^n= \Biggl(\sum^p_{i=0} a_i(z) w^i\Biggr)
openaire   +2 more sources

Algebraic Differential Equations

2017
One of the most difficult problems in the theory of Algebraic Differential Equations is to decide whether or not the solutions are meromorphic in the plane. In case this question has been answered satisfactorily, which by experience requires particular strategies adapted to the equations under consideration, there remain several major problems to be ...
openaire   +1 more source

Explicit Differential-Algebraic Equations

2020
Federico Milano, Ioannis Dassios, Muyang Liu, Georgios Tzounas   +3 more
openaire   +1 more source

Differential-Algebraic Equations

1984
In this paper we study the numerical solution of the differential/algebraic systems F(t, y, y′) = 0. Many of these systems can be solved conveniently and economically using a range of ODE methods. Others can be solved only by a small subset of ODE methods, and still others present insurmountable difficulty for all current ODE methods.
openaire   +1 more source

On Solvability of Dissipative Partial Differential-Algebraic Equations

2022
Birgit Jacob, Kirsten Morris
exaly  

System of fractional differential algebraic equations with applications

Chaos, Solitons and Fractals, 2019
Babak Shiri, Dumitru Baleanu
exaly  

Approximation Methods for the Consistent Initialization of Differential-Algebraic Equations

SIAM Journal on Numerical Analysis, 1991
C W Gear
exaly  

Review Paper: Efficient numerical methods for the solution of stiff initial-value problems and differential algebraic equations

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2003
J R Cash
exaly  

Sensitivity analysis of differential–algebraic equations: A comparison of methods on a special problem

Applied Numerical Mathematics, 2000
Shengtai Li, Linda Petzold
exaly  

A Systematic Method to Model Power Systems as Stochastic Differential Algebraic Equations

IEEE Transactions on Power Systems, 2013
Federico Milano, Rafael Zárate-Miñano   +1 more
exaly