Results 271 to 280 of about 2,290 (305)

The solution to an extremal problem on balanced extensions of graphs

Journal of Graph Theory, 1993
AbstractFor n sufficiently large the order of a smallest balanced extension of a graph of order n is, in the worst case, ⌊(n + 3)2/8⌋. © 1993 John Wiley & Sons, Inc.
Andrzej Rucinski 0001, Andrew Vince
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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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Solution of an extremal problem in operator theory

1983
Let \(E_ 1,E_ 2\) be normed linear spaces of 2\(\pi\)-periodic integrable functions, \(\Pi_ n\) be the set of all trygonometric polynomials of the order \(\leq n\). The author gives a complete solution of the problem of constructing an extremal operator in the class \(\Omega_ n^{(k)}\) of all linear operators \(u_ n(f,x):E_ 1\to E_ 2\) such that \(u_ n(
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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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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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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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Extremal solutions and extremal norms of linear differential inclusions of order three

Proceedings of the 45th IEEE Conference on Decision and Control, 2006
Linear differential inclusions arising in the theory of absolute stability of feedback systems with two time-varying sector nonlinearities are considered. It is shown that under controllability/observability assumptions in the case of zero Lyapunov exponent all the extremal solutions tend to the same (up to a positive scaling factor) antiperiodic ...
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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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Thermodynamics of Extremely Diluted Aqueous Solutions

Annals of the New York Academy of Sciences, 1999
V, Elia, M, Niccoli
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Extreme point solution

2001
Saul I. Gass, Carl M. Harris
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