Differential Equations and Algebraic Relations
نویسندگان
چکیده
منابع مشابه
Algebraic Relations among Solutions of Linear Differential Equations
Using power series methods, Harris and Sibuya [3, 4] recently showed that if A: is an ordinary differential field of characteristic zero and y 5¿ 0 is an element of a differential extension of fc such that y and l/y satisfy linear differential equations with coefficients in fc, then y'¡y is algebraic over fc. Using differential galois theory, we generalize this and characterize those polynomial...
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A nonsmooth modeling paradigm for dynamic simulation and optimization of process operations is advocated. Nonsmooth differential-algebraic equations (DAEs) naturally model a wide range of physical systems encountered in chemical engineering conventionally viewed as exhibiting hybrid continuous/discrete behavior. Due to recent advancements in nonsmooth analysis, nonsmooth DAEs now have a suitabl...
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ژورنال
عنوان ژورنال: Journal of Symbolic Computation
سال: 1998
ISSN: 0747-7171
DOI: 10.1006/jsco.1997.0195