Results 241 to 250 of about 1,794,477 (278)

Invariance, Comparison, and Upper and Lower Solutions

1996
This chapter establishes invariance and various inequalities for solutions of abstract integral equations with delay.
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Singular problems motivated from classical upper and lower solutions

Acta Mathematica Hungarica, 2003
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Agarwal, R. P., O'Regan, D.
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Upper and lower solution estimates in unilateral viscoelastodynamics

Acta Mechanica, 1987
The variational and bounding method of hypercircle for linear, elliptic, boundary-value problems of mathematical physics [e.g. \textit{W. Velte}, Direkte Methoden der Variationsrechnung (1976; Zbl 0333.49035)], is extended in this paper to inequality, evolution problems of time- dependent structural mechanics.
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An upper and lower solution theory for singular Emden–Fowler equations

Nonlinear Analysis: Real World Applications, 2002
Results guaranteeing the existence of positive solutions to the Dirichlet boundary value problem \[ y''+ q(t) f(t,q)= 0,\quad 0< t< 1,\quad y(0)= 0= y(1),\tag{\(*\)} \] are obtained. Here, \(f: [0,1]\times (0,\infty)\to \mathbb{R}\) is continuous and may be singular at \(y= 0\), \(q\in C(0,1)\), \(q> 0\) on \((0,1)\) and \(\int^1_0 x(1- x)q(x) dx ...
Agarwal, R.P., O'Regan, D., Lakshmikantham, V., Leela, S.   +3 more
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Upper and Lower Solutions Method and a Singular Boundary Value Problem

ZAMM, 2002
The article is devoted to the boundary value problem \[ u''+ g(t,u,u')= 0,\quad t\in (0,1),\quad u(0)= u(1)= 0. \] It is assumed that the problem may be singular at \(t= 0\), \(t=1\), and \(u= 0\). The technique of upper and lower solutions is used to obtain sufficient conditions for the solvability.
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Upper and lower critical solution temperatures in 1‐octanol solutions of polyethylene

British Polymer Journal, 1983
AbstractCloud points of 1‐octanol solutions of four linear polyethylene samples having different molecular weights were measured visually in both regions of the upper and lower critical solution temperatures (UCST and LCST). From the (temperature, polymer weight fraction) phase diagrams drawn, the UCST and LCST were determined.
Yoichiro Muraoka, Hiroshi Inagaki, Hidematsu Suzuki   +2 more
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Method of Upper and Lower Weak Solutions

2022
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Methods of Lower and Upper Solutions

2014
Stanisław Brzychczy, Roman R. Poznanski
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Theory of upper and lower critical solution temperatures

Discussions of the Faraday Society, 1953
J. A. Barker, W. Fock
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Unbounded solutions for singular boundary value problems on the semi-infinite interval: Upper and lower solutions and multiplicity

Journal of Computational and Applied Mathematics, 2006
Baoqiang Yan, Ravi P Agarwal, Donal O'Regan   +2 more
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