Results 261 to 270 of about 2,290 (305)

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 $Fu = 0$.
openaire   +1 more source

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
openaire   +3 more sources

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 ...
openaire   +1 more source

Extreme Vibration Solutions

Aerospace Testing International
How to solve the high-temperature challenge when measuring extreme vibrations
openaire   +1 more source

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( {
openaire   +1 more source

Extremal Properties of Solutions of Stochastic Equations

Theory of Probability & Its Applications, 1985
Translation from Teor. Veroyatn. Primen. 29, No.2, 209-221 (Russian) (1984; Zbl 0543.60064).
openaire   +1 more source

Extremal Solutions of Multivalued Differential Equations

Results in Mathematics, 1988
Consider an initial value problem (1) \(u'\in F(t,u)\) a.e. on J, \(u(0)=x_ 0\) where \(J=[0,a]\subset R\), \(X=R\) n and F:J\(\times X\to 2\) \(X\setminus \phi\) is a multivalued map. Let \(K\subset R\) n be a cone and \(\leq\) the partial ordering defined by K, i.e. \(x\leq y\) iff y-x\(\in K\).
openaire   +1 more source

Equations in predicates and their extreme solutions

1990
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 the statement DO, for which the predicates wlp.DO.X and wp.DO.X will be defined as solutions of equations of the ...
Edsger W. Dijkstra, Carel S. Schölten
openaire   +1 more source

On V-Extremal Solutions of the Moment Problem

Mathematical Notes, 2002
A nondecreasing function \(\sigma(u)\), \(-\infty 0\), and \(\sigma_1(u)\) and \(\sigma_2(u)\) are solutions of the same moment problem different from \(\sigma(u)\). The set of all solutions of the indeterminate moment problem (1) is described be the Nevanlinna representation: Let the class of Nevanlinna functions \(N\) supplemented with the constant \
openaire   +1 more source

Bioenergetics and solute uptake under extreme conditions

Extremophiles, 2001
The ion and particularly the proton and sodium ion permeabilities of cytoplasmic membranes play crucial roles in the bioenergetics of microorganisms. The proton and sodium permeabilities of membranes increase with temperature. Psychrophilic and mesophilic bacteria and mesophilic, (hyper)thermophilic, and halophilic archaea are capable of adjusting the ...
Albers, Sonja Verena, Vossenberg, Jack L., Driessen, Arnold J. M., Konings, Wil N.   +3 more
openaire   +4 more sources