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Bounds on global solutions

1998
Abstract The study of the behaviour at infinity of global solutions is one of the most important problems in the study of non-linear evolution equations. The problem can be formulated as follows. If u(t), 0 t < oo is a solution of an equation of the form In the following subsection, we gather some preliminary results that will be ...
Thierry Cazenave   +2 more
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The Bounds of Solutions to Polynomial Complementarity Problems

Journal of Optimization Theory and Applications
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Xue-liu Li, Guo-ji Tang
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On analyse the behaviour of the solutions on a bounded set

Applied Mathematics and Computation, 2000
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Habiba A. Elzohny, Sabah Hafez Abdallah
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Bounded solutions of the Golab--Schinzel equation

Aequationes Mathematicae, 2000
For a given \(n\in\mathbb{N}\), the functional equation \[ f\bigl(x+ f (x)^n y\bigr)=f(x)f(y),\tag{1} \] is considered in the case where \(f:X\to\mathbb{K}\), \(\mathbb{K}\in \{\mathbb{R},\mathbb{C}\}\), \(X\) is a Fréchet space over \(\mathbb{K}\). If \(n=1\) and \(f:\mathbb{R} \to\mathbb{R}\), equation (1) becomes that one which was first studied by \
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Bounding the degree of solutions of differential equations

Journal of Symbolic Computation, 2018
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Solution Bounds for Transient Vibration Problems

Journal of Applied Mechanics, 1977
The theory of differential inequalities is applied to systems of nonlinear differential equations of the initial value type. Established bounding theorems are used to construct bounds on the solution of these equations and to develop an iterative procedure for improving these bounds.
McDaniel, T. J.   +2 more
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The Removal of Protein-Bound Solutes by Dialysis

Journal of Renal Nutrition, 2012
Protein-bound solutes that accumulate in plasma when the kidneys fail are poorly cleared by conventional dialysis. Means have been developed to reduce the levels of such solutes, either by modifying the dialysis procedure to increase their clearance or by limiting their production.
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Bounding the Solution of Interval Linear Equations

SIAM Journal on Numerical Analysis, 1992
The paper deals with bounding the solution set of a system of linear interval equations whose matrix has a special form \([I-D,I+D]\) where \(I\) is the identity matrix (systems of such kind arise as a result of preconditioning a general linear interval system by the midpoint inverse).
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Solution of a Moment Problem for Bounded Functions

Mathematical Proceedings of the Cambridge Philosophical Society, 1936
1. Given a sequence of variables a1, a2, …, we define a sequence of polynomials B1, B2, … byFor every positive integer n, Bn is a polynomial in a1, …, an, with rational coefficients. We write Bn ≡ Bn (a1, …, an) to indicate the variables on which Bn depends.
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Maximal and minimal nondecreasing bounded solutions of iterative functional differential equations

Applied Mathematics Letters, 2021
Jinrong Wang   +2 more
exaly  

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