Home > Search Results: Number of zeroes of real functions
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Articles, 2 records found
Articles 2 records found  
1.
15 p, 386.1 KB Upper bounds for the number of zeroes for some Abelian integrals / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Consider the vector field x' = −yG(x, y), y' = xG(x, y), where the set of critical points {G(x, y) = 0} is formed by K straight lines, not passing through the origin and parallel to one or two orthogonal directions. [...]
2012 - 10.1016/j.na.2012.04.033
Nonlinear Analysis : Theory, Methods and Applications, Vol. 75 (2012) , p. 5169-5179  
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2.
19 p, 406.0 KB On the Chebyshev property for a new family of functions / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We analyze whether a given set of analytic functions is an Extended Chebyshev system. This family of functions appears studying the number of limit cycles bifurcating from some nonlinear vector field in the plane. [...]
2012 - 10.1016/j.jmaa.2011.09.019
Journal of mathematical analysis and applications, Vol. 387 (2012) , p. 631-644  
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