For certain Dirichlet series almost surely(a.s.)of order(R) ρ∈(0,∞)in the right-halfplane,a.s.every point of the imaginary axis is a Borel point of order ρ+1 and with no finiteexoeptional value.
According to S. Smale, an algorithm is said to be tractable if its cost of finding a zero of a complex polynomial does not grow exponentially with the degree of polynomials. Smale proved that for the case all |c_k|<...According to S. Smale, an algorithm is said to be tractable if its cost of finding a zero of a complex polynomial does not grow exponentially with the degree of polynomials. Smale proved that for the case all |c_k|<1, the cost of Newton’s method of finding a zero of a polynomial展开更多
In this paper the authors prove that functions in the general De Giorgi parabolic class satisfy Harnack inequalities and hence extend the results obtained in the 1960 by Moser, Trudinger and Ladyzenskaja et al. in a s...In this paper the authors prove that functions in the general De Giorgi parabolic class satisfy Harnack inequalities and hence extend the results obtained in the 1960 by Moser, Trudinger and Ladyzenskaja et al. in a sense.展开更多
The followunh results are proved in this paper1)If a real quadratic differential system has two strong foci,then around them therecannot appear(2n,2m)distribution of non-semi-stable limit cycles,where n and m arenatur...The followunh results are proved in this paper1)If a real quadratic differential system has two strong foci,then around them therecannot appear(2n,2m)distribution of non-semi-stable limit cycles,where n and m arenatural numbers.2)If a real quadratic differential system has two strong foci of different stability,then around them there cannot appear(2n,2m)distribution of non-semi-stable limitcycles,where n and m are natural numbers.展开更多
This paper develops a method which enables us to study the number,existence andstability of periodic solutions and almost periodic solutions of the scalar ordinarydifferential equation.Some applications of the method ...This paper develops a method which enables us to study the number,existence andstability of periodic solutions and almost periodic solutions of the scalar ordinarydifferential equation.Some applications of the method are also given.展开更多
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文摘For certain Dirichlet series almost surely(a.s.)of order(R) ρ∈(0,∞)in the right-halfplane,a.s.every point of the imaginary axis is a Borel point of order ρ+1 and with no finiteexoeptional value.
文摘According to S. Smale, an algorithm is said to be tractable if its cost of finding a zero of a complex polynomial does not grow exponentially with the degree of polynomials. Smale proved that for the case all |c_k|<1, the cost of Newton’s method of finding a zero of a polynomial
文摘In this paper the authors prove that functions in the general De Giorgi parabolic class satisfy Harnack inequalities and hence extend the results obtained in the 1960 by Moser, Trudinger and Ladyzenskaja et al. in a sense.
文摘The followunh results are proved in this paper1)If a real quadratic differential system has two strong foci,then around them therecannot appear(2n,2m)distribution of non-semi-stable limit cycles,where n and m arenatural numbers.2)If a real quadratic differential system has two strong foci of different stability,then around them there cannot appear(2n,2m)distribution of non-semi-stable limitcycles,where n and m are natural numbers.
文摘This paper develops a method which enables us to study the number,existence andstability of periodic solutions and almost periodic solutions of the scalar ordinarydifferential equation.Some applications of the method are also given.
