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The concept of optimal planning of a linearly oriented segment of the 5G network. [PDF]

PLoS One
Kovtun V, Grochla K, Zaitseva E, Levashenko V.   +3 more
europepmc   +1 more source

Best constants in subelliptic fractional Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups. [PDF]

Calc Var Partial Differ Equ
Ghosh S, Kumar V, Ruzhansky M.
europepmc   +1 more source

Connections between sequential Bayesian inference and evolutionary dynamics. [PDF]

Philos Trans A Math Phys Eng Sci
Pathiraja S, Wacker P.
europepmc   +1 more source

Extremal solutions for p-Laplacian differential systems via iterative computation

Applied Mathematics Letters, 2013
In this paper, we study the extremal solutions of a fractional differential system involving the pp-Laplacian operator and nonlocal boundary conditions.
Xinguang Zhang, Yong Wu, L Caccetta
exaly   +3 more sources

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Solution of an Extremal Problem

Theory of Probability & Its Applications, 1957
Let N be a set of pairs of integers $\langle {i,j} \rangle ,i, j = 1,2, \cdots ,h$, and M a non-empty subset of N. We shall denote by $\mathcal{P}_M$ the class of all systems $P = \{ p_{ij} \} ,\langle {i,j} \rangle \in N$ satisfying the following conditions: \[ p_{ij} \geqq 0\quad {\text{for}}\quad \langle {i,j} \rangle \in N, \,p_{ij} = 0\quad {\text{
Rubinshteĭn, G. Sh., Urbanik, Kazimierz
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On the extreme solutions of an nonlinear matrix equation

2007 American Control Conference, 2007
A quadratically convergent algorithm (QCA) for solving the extreme solutions of the matrix equation AX2+BX+C=0 was proposed by Bini and Meini. In this paper, we present a new derivation for this algorithm and a new proof for the convergence theory by using a structure-preserving transformation of a matrix pencil.
Xiaoxia Guo, Zhijian Ji
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Construction of Domains with All Solutions, and the Existence of Extreme Solutions

SIAM Journal on Numerical Analysis, 1981
In this paper we construct domains with all solutions of an operator equation $Fu = 0$, and prove the existence of a minimal and maximal solution. For this one requires a suitable growth condition of F and the existence of a solution of $Fu = 0$ in intervals $[\Phi ,\Psi ]$, if $\Phi $ is a subsolrution and $\Psi $ is a supersolution for $Fu = 0$.
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Extremal solutions for nonlinear neumann problems

Discussiones Mathematicae. Differential Inclusions, Control and Optimization, 2001
The authors investigate the Neumann problem in a smooth bounded domain for the equation \[ -\text{ div } \left(\|\nabla x\|^{p-2}\nabla x \right) = f(\cdot,x,\nabla x) \] with usual regularity and growth conditions on \(f\). Assuming the existence of upper and lower solutions the authors show that the set of solutions is nonvoid and directed and thus ...
A. FIACCA, SERVADEI, RAFFAELLA
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INFORMATION EXTREMISM: PROBLEMS AND SOLUTIONS.

VESTNIK OF THE EAST SIBERIAN INSTITUTE OF THE MINISTRY OF INTERNAL AFFAIRS OF THE RUSSIAN FEDERATION, 2023
Введение. Статья посвящена вопросам распространения экстремистских материа-лов в сети Интернет, а именно в социальных сетях. Информационный экстремизм, как один из разновидностей экстремизма, на сегодняшний день наиболее опасен. Так как ин-формация, несущая в себе запрещенный контент, зачастую общедоступна, а распростра-нители данной информации ...
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Extreme solutions of equations

1987
In the previous chapter we have encountered a number of statements S, for which the predicate transformers wlp(S,?) and wp(S,?) were given in closed form. In the next chapter we shall encounter a statement for which the predicates wlp(S,X) and wp(S,X) are given as solutions of equations of the form $${\text{Y }}:{\text{ }}\left[ {{\text{b}}.\left( {
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