A comparison theorem for general nonlinear ordinary differential equations
نویسندگان
چکیده
منابع مشابه
Nonlinear Ordinary Differential Equations
Most physical processes are modeled by differential equations. First order ordinary differential equations, also known as dynamical systems, arise in a wide range of applications, including population dynamics, mechanical systems, planetary motion, ecology, chemical diffusion, etc., etc. See [19, 72,ODES] for additional material and applications. The goal of this chapter is to study and solve i...
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A Subspace Theorem for Ordinary Linear Differential Equations
The study of the S-unit equation for algebraic numbers rests very heavily on Schmidt's Subspace Theorem. Here we prove an effective subspace theorem for the differential funrtion field case, which should be valuable in the proof of results concerning the S-unit equation for funrtion fields. Theorem 1 states that either O r d ^ L . V L J has a given upper bound where ^(PJ . I^P) , . . . , ! , , ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1986
ISSN: 0022-247X
DOI: 10.1016/0022-247x(86)90202-7