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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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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 \
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Extreme Vibration Solutions

Aerospace Testing International
How to solve the high-temperature challenge when measuring extreme vibrations
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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).
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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\(\in K\).
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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
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Extremal solutions of classes of multivalued differential equations

Applied Mathematics and Computation, 2003
The paper is concerned with the existence of extremal solutions to a class of multivalued boundary value problems and evolution inclusion with m-accretive operators. Recently, similar problems have been considered in many papers. For example, more deeper results of such kind can be found in the book by \textit{Sh. Hu} and \textit{N. S.
Ahmed Gamal Ibrahim, A. G. Gomaa
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On the Components of Extremal Solutions of Second Order Systems

SIAM Journal on Mathematical Analysis, 1977
Sign properties of components of extremal solutions of the linear system \[ x'' + A(t)x = 0, \] where $A(t)$ is a continuous $n \times n$ matrix, are investigated. For most of the considerations, $A(t)$ is assumed to be symmetric. The proofs are based on variational arguments.
Ahmad, Shair, Lazer, Alan C.
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