A new sufficient condition in order that the real Jacobian conjecture in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math> holds
نویسندگان
چکیده
Let F=(f,g):R2?R2 be a polynomial map such that det?(DF(x,y)) is nowhere zero and F(0,0)=(0,0). In this work we give new sufficient condition for the injectivity of F. We also state conjecture when det?(DF(x,y))= constant ?0 F(0,0)=(0,0) equivalent to Jacobian conjecture.
منابع مشابه
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2021
ISSN: ['1090-2732', '0022-0396']
DOI: https://doi.org/10.1016/j.jde.2021.01.038