Nonlinear differential equations and algebraic systems
نویسندگان
چکیده
منابع مشابه
ABS methods for nonlinear systems of algebraic equations
Abstract This paper gives a survey of the theory and practice of nonlinear ABS methods including various types of generalizations and computer testing. We also show three applications to special problems, two of which are new.
متن کاملglobal results on some nonlinear partial differential equations for direct and inverse problems
در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...
Model Reduction of Nonlinear Differential-algebraic Equations
∗ Division of Automatic Control Department of Electrical Engineering, Linköpings universitet, SE-581 83 Linköping, Sweden ∗∗ Department of Mechanical Science and Engineering, Nagoya University, Japan Abstract: In this work, a computational method to compute balanced realizations for nonlinear differential-algebraic equation systems is derived. The work is a generalization of an earlier work for...
متن کاملAlgebraic Differential Equations and Rational Control Systems
SYSTEMS Yuan Wang Mathematics Department, Florida Atlantic University, Boca Raton, Fl 33431 (407)367-3317, E-mail: y [email protected] Eduardo D. Sontag Department of Mathematics, Rutgers University, New Brunswick, NJ 08903 (908)932-3072, E-mail: [email protected] ABSTRACT An equivalence is shown between realizability of input/output operators by rational control systems and high orde...
متن کاملChapter 4 Systems of nonlinear algebraic equations
As with the scalar case, the equation is satisfied only at selected values of x = r = [r1, r2, · · · , rn], called the roots. The separation process model discussed in section §1.3.1 (variations 2 and 3, in particular) and the reaction sequence model of section §1.3.5 are two of the many examples in chemical engineering that give rise to such non-linear system of equations. As with the scalar c...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 1978
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171278000290