On implicit systems of differential equations
نویسندگان
چکیده
منابع مشابه
Computing Validated Solutions of Implicit Differential Equations
Ordinary differential equations (ODEs), including high-order implicit equations, describe important problems in mechanical and chemical engineering. However, the use of selfvalidated methods providing rigorous enclosures of the solution has mostly been limited to explicit and weakly nonlinear problems, and no general-purpose algorithm for the validated integration of general ODE initial value p...
متن کاملOn Singularities of Autonomous Implicit Ordinary Differential Equations
Implicit ordinary differential equations ( ) _ = ( ) with ( ) being an matrix depending on are investigated about their singular points, i.e., inconsistent points in the closure of the set of consistent points. Sufficient conditions are given that ensure that around such points, the above differential equation can be diffeomorphically transformed into the normal form 1 _1 = 1, _2 = 0 . . . _ = ...
متن کاملDesingularization of Implicit Analytic Differential Equations
The question of finding solutions to given implicit differential equations (IDE) has been answered by several authors in the last few years, using different approaches, in an algebraic and also a geometric setting. Many of those results assume in one way or another that the subimmersion theorem can be applied at several stages of the reduction algorithm, which, roughly speaking, allows to reduc...
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...
On Discrete Analogues of Nonlinear Implicit Differential Equations
The importance of implicit difference equations (IDEs) seems to flow from two sources. First, in real world situations it has been found that many problems are modeled by singular discrete systems, such as the Leslie population growth model, the Leontief dynamic model of multisector economy, singular discrete optimal control problems and so forth. Second, implicit discrete systems appear in a n...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2003
ISSN: 0022-0396
DOI: 10.1016/s0022-0396(03)00191-8