Let xx ' ≡1(modn). The authors find an explicit formula for the number N(n) of solutions (k 1 ,k 2 ,k 3 ,k 4 ) of k 1 +k 2 ≡k 3 +k 4 (modn), k 1 ' +k 2 ' ≡k 3 ' +k 4 ' (modn) in the reduced system of residues. It is shown that N is a multiplic...
McKenna, On the number of solutions of a nonlinear Dirichlet problem, J. Math. Anal. Appl. 84 (1981) 282-294.Lazer, A.C., McKenna, P.J.: On the number of solutions of a nonlinear Dirichlet problem. J. Math. Anal. Appl. 84 (1), 282–294 (1981) MATH MathSciNet...
Number of solutions of boundary value problems 来自 Semantic Scholar 喜欢 0 阅读量: 22 作者: E Rovderová 摘要: The paper is concerned with the investigation of the multipoint boundary value problem (1) y (n) =f(y,y ' ,,y (n-1) ), (2) y (i) (a)=A i , i=1,2,,k...
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The authors discuss the number of solutions of the two-point boundary value problem y (4) +a 2 y '' +f(t,y)=0,y(0)=A 0 ,y ' (0)=A 1 ,y '' (0)=A 2 ,(1) y(T)=B,(2) where A 0 ,A 1 ,A 2 ,B∈, a 2 ∈(-∞,0), f and f y are continuous on [0,T]...
We provide a lower bound for the number of solutions of ∑i=1131xi=1. Also, we answer similar questions about the equation ∑i=1k−11xi+1lcm(x1,…,xk−1)=1. Finally, we prove some results concerning optimization of x1 and x11....
Number theory, branch of mathematics concerned with properties of the positive integers (1, 2, 3, …). Modern number theory is a broad subject that is classified into subheadings such as elementary number theory, algebraic number theory, analytic number
百度试题 结果1 题目Find the total number of positive integer solutions of a+b+c+d=13 with 1≤a≤4.相关知识点: 试题来源: 解析 164 Total: 12!3!×9!=220Excluded part: 8!3!×5!=56Result: 220−56=164反馈 收藏
Problems and Solutions: Solutions: The Number of Zeros of a Maclaurin Polynomial: 10671. 来自 AMS 喜欢 0 阅读量: 11 作者:F Rothe,SS Kim 年份: 1974 收藏 引用 批量引用 报错 分享 全部来源 求助全文 AMS 相似文献Theory of LTR for nonminimum phase systems, recoverable target loops, recovery ...
Schinzel showed that for each xed k 8 1047 there are at least two solutions to (n )= (n + k). Using the same method and a computer search, Schinzel and A. Wakulicz extended the bound to all k 2 1058. Here we show that Schinzel's method can be used to further extend the ...