Nonlinear Engineering, 2018 Mathematical model for an adiabatic tubular chemical reactor which processes an irreversible exothermic chemical reaction has been considered. For steady state solution for an adiabatic tubular chemical reactor, the model can be reduced to ordinary ...
Sahu P. K., Ranjan A. K., Saha Ray S.
doaj +1 more source
The algebraic criteria for the stability of control systems [PDF]
This paper critically examines the standard algebraic criteria for the stability of linear control systems and their proofs, reveals important previously unnoticed connections, and presents new representations.
Cremer, H., Effertz, F. H.
core +1 more source
Extensions of the Ground Field in the Theory of Algebraic Differential Equations [PDF]
, 1953 Kôtaro Okugawa
openalex +1 more source
Differential Algebraic Equations, Indices, and Integral Algebraic Equations
SIAM Journal on Numerical Analysis, 1990 In a recent report, Hairer, Lubich, and Roche [Report CH-1211, Dept. de Mathematiques, Universite de Geneve, Geneve, Switzerland, 1988] define the index of differential algebraic equations (DAEs) by considering the effect of perturbations of the equations on the solutions. This index, which will be called the perturbation index $p_i $, is one more than
openaire +3 more sources
Some Differential and Algebraic Consequences of the Einstein Field Equations [PDF]
, 1930 K. W. Lamson
openalex +1 more source
Explicit solutions of an algebraic differential equation
Journal of Differential Equations, 1980 I.et the coefficients a, b, c, d, e, f of the polynomial p(zo, w’) E aw’2 + bww’ + cw’ + dw’ $ew -k f iI> be given as elements of an ordinary differential Geld E in which 1 + 1 9~ 0 and a f 0. We shall show that: under certain conditions, the problem of solving the nonlinear first-order differential equation P(zo, w’) = 0 can be reduced to the problem ...
openaire +3 more sources
Bézout’s theorem and algebraic differential equations [PDF]
Transactions of the American Mathematical Society, 1943 Not ...
openaire +2 more sources
On Elliptic and Hyper-Elliptic Systems of Differential Equations and their Rational and Integral Algebraic Integrals, with a Discussion of the Periodicity of Elliptic and Hyper-Elliptic Functions [PDF]
, 1894 W. R. Westropp Roberts
openalex +1 more source
A first-order algebraic differential equation
Journal of Differential Equations, 1977 4a,P(w, w’) = (S(w, w’))~ +F(w), (2) where S(w, w’) = 2a,w’ + a2w2 + asw + a, and F(w) is a polynomial in w of degree
openaire +3 more sources
On a method for obtaining the differential equation to an Algebraical Curve [PDF]
, 1884 Chrystal
openalex +1 more source