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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.   +3 more
openaire   +2 more sources

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.
openaire   +2 more sources

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   +2 more
openaire   +1 more source

Designing modern aqueous batteries

Nature Reviews Materials, 2022
Yanliang Liang, Yan Yao
exaly  

Molecular engineering of contact interfaces for high-performance perovskite solar cells

Nature Reviews Materials, 2022
Furkan H Isikgor   +2 more
exaly  

Methods of Lower and Upper Solutions

2014
Stanisław Brzychczy, Roman R. Poznanski
openaire   +1 more source

The passivity of lithium electrodes in liquid electrolytes for secondary batteries

Nature Reviews Materials, 2021
Dominic Bresser   +2 more
exaly  

Ion Dissociation in Ionic Liquids and Ionic Liquid Solutions

Chemical Reviews, 2020
Joan F Brennecke
exaly  

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