نتایج جستجو برای: Hilbert's 16th problem

تعداد نتایج: 884250  

2013
J. Pillay

The continuum hypothesis (CH) is one of and if not the most important open problems in set theory, one that is important for both mathematical and philosophical reasons. The general problem is determining whether there is an infinite set of real numbers that cannot be put into one-to-one correspondence with the natural numbers or be put into one-to-one correspondence with the real numbers respe...

Journal: :bulletin of the iranian mathematical society 2011
n. nyamoradi h. zangeneh

we consider the number of zeros of the integral $i(h) = oint_{gamma_h} omega$ of real polynomial form $omega$ of degree not greater than $n$ over a family of vanishing cycles on curves $gamma_h:$ $y^2+3x^2-x^6=h$, where the integral is considered as a function of the parameter $h$. we prove that the number of zeros of $i(h)$, for $0 < h < 2$, is bounded above by $2[frac{n-1}{2}]+1$.

Journal: :I. J. Bifurcation and Chaos 2003
Jibin Li

The original Hilbert’s 16th problem can be split into four parts consisting of Problems A–D. In this paper, the progress of study on Hilbert’s 16th problem is presented, and the relationship between Hilbert’s 16th problem and bifurcations of planar vector fields is discussed. The material is presented in eight sections. Section 1: Introduction: what is Hilbert’s 16th problem? Section 2: The fir...

Journal: :Bulletin of the American Mathematical Society 2002

2005
V. Kaloshin

H(n) = uniform bound for the number of limit cycles of (1) . One way to formulate the Hilbert 16th problem is the following: Hilbert 16th Problem (HP). Estimate H(n) for any n ∈ Z+. To prove that H(1) = 0 is an exercise, but to find H(2) is already a difficult unsolved problem (see [DRR,DMR] for work in this direction). Below we discuss two of the most significant branches of research HP has ge...

2005
Bernd Tibken Anton Kummert

In this paper recent new approaches to the representation of a positive polynomials as a sum of squares are used in order to compute spectral factorizations of nonnegative multivariable polynomials. In principle this problem is solved due to the positive solution of Hilberts 17th problem by Artin. Unfortunately Artins result is not constructive and the denominator polynomials arising have no sp...

Journal: :Journal of Differential Equations 1994

Journal: :Bulletin des Sciences Mathématiques 2007

نمودار تعداد نتایج جستجو در هر سال

با کلیک روی نمودار نتایج را به سال انتشار فیلتر کنید