On the set of solutions of the system $x\sb 1+x\sb 2+x\sb 3=1, x\sb 1x\sb 2x\sb 3=1$

Miloslav Hlaváček

Displaying similar documents to “On the set of solutions of the system $x\sb 1+x\sb 2+x\sb 3=1, x\sb 1x\sb 2x\sb 3=1$”

Linear integral equations in the space of regulated functions

Milan Tvrdý (1998)

Mathematica Bohemica

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n this paper we investigate systems of linear integral equations in the space $𝔾_{L}^{n}$ of $n$ -vector valued functions which are regulated on the closed interval $[0, 1]$ (i.e. such that can have only discontinuities of the first kind in $[0, 1]$ ) and left-continuous in the corresponding open interval $(0, 1) .$ In particular, we are interested in systems of the form x(t) - A(t)x(0) - 01B(t,s)[d x(s)] = f(t), where $f \in 𝔾_{L}^{n}$ , the columns of the $n \times n$ -matrix valued function $A$ belong to $𝔾_{L}^{n}$ , the entries of $B (t, .)$ have a bounded variation...

Circular distance in directed graphs

Bohdan Zelinka (1997)

Mathematica Bohemica

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Circular distance $d^{\circ} (x, y)$ between two vertices $x$ , $y$ of a strongly connected directed graph $G$ is the sum $d (x, y) + d (y, x)$ , where $d$ is the usual distance in digraphs. Its basic properties are studied.

Spectral properties of fourth order differential operators

Ondřej Došlý, Roman Hilscher (1997)

Mathematica Bohemica

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Necessary and sufficient conditions for discreteness and boundedness below of the spectrum of the singular differential operator $ℓ (y) \equiv \frac{1}{w (t)} (r (t) y)$ , $t \in [a, \infty)$ are established. These conditions are based on a recently proved relationship between spectral properties of $ℓ$ and oscillation of a certain associated second order differential equation.

Dominating functions of graphs with two values

Bohdan Zelinka (1998)

Mathematica Bohemica

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The $Y$ -domination number of a graph for a given number set $Y$ was introduced by D. W. Bange, A. E. Barkauskas, L. H. Host and P. J. Slater as a generalization of the domination number of a graph. It is defined using the concept of a $Y$ -dominating function. In this paper the particular case where $Y = {0, 1 / k}$ for a positive integer $k$ is studied.