Results 261 to 270 of about 57,690 (307)

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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Extremal solutions of boundary value problems

Differential Equations, 2011
To prove the existence of a solution of a two-point boundary value problem for an nth-order operator equation by the a priori estimate method, authors study extremal solutions of auxiliary boundary value problems for an nth-order differential equation with simplest right-hand side, which have a unique solution under certain restrictions on the boundary
Vasil'ev, N. I., Lepin, A. Ya., Lepin, L. A.   +2 more
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Extremal Solutions for Semilinear Obstacle Problems

Applicable Analysis, 1996
In this paper we establish the existence of a minimum solution bounded above by an upper solution for a parabolic problem with unilateral constraint (obstacle problem). Our approach uses truncation and penalization techniques and ultimately relies on Zorn's lemma.
N. S. Papageorgiou, N. Shahzad
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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 Positive Solutions of Semilinear Schrödinger Equations

Canadian Mathematical Bulletin, 1983
AbstractNecessary and sufficient conditions are proved for the existence of maximal and minimal positive solutions of the semilinear differential equation Δu = -ƒ(x, u) in exterior domains of Euclidean n-space. The hypotheses are that ƒ(x, u) is nonnegative and Hölder continuous in both variables, and bounded above and below by ugi(| x |, u), i = 1, 2,
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Extremal Solutions of Multivalued Differential Equations II

Results in Mathematics, 1989
Given a cone \(K\subset\mathbb{R}^ n\) and a set-valued differential equation \(\dot x\in F(t,x)\), \(t\in J=[0,a]\), the author wants to find an absolutely continuous solution which is minimal with respect to the ordering induced by \(K\). The assumptions on \(F\) are the following: (1) \(\| F(t,x)\|\leq c(t)(1+\| x\|)\), \(c\in L^ 1(J)\); (2) \(f(t,x)
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Existence of solutions of extremal problems

Cybernetics and Systems Analysis, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Viscosities of extremely dilute polystyrene solutions

Journal of Polymer Science, 1954
AbstractIt is shown that ηsp/c for a polystyrene fraction (M̄v = 250,000) in toluene decreases approximately linearly as the concentration is lowered from 1.0 to 0.1 g./100 ml. and then increases to a maximum at 0.001 g./100 ml. as the concentration is lowered still further.
D. J. Streeter, R. F. Boyer
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Extremal Solutions in the Marginal Problem

1991
This is a review paper collecting both older and recent progress in the field of twodimensional marginal problem concerning the extreme points of the set of solutions. Some new results in the characterization of extremal solutions are presented in Section 5.
Viktor Benes, Josef Stepan
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Dielectric Constants of Extremely Dilute Solutions

The Journal of Chemical Physics, 1936
The dielectric behavior of unusually dilute solutions of ethyl alcohol in the nonpolar solvents benzol and carbon tetrachloride have been investigated down to 0.00007 molefraction concentration of alcohol. This concentration of molecules corresponds to a gaseous pressure of only 1.5 cm of Hg. The effect of an apparently anomalous behavior often present
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