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An upper and lower solution theory for singular Emden–Fowler equations
Nonlinear Analysis: Real World Applications, 2002Results 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
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Upper and Lower Solutions Method and a Singular Boundary Value Problem
ZAMM, 2002The 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, 1983AbstractCloud 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
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Molecular engineering of contact interfaces for high-performance perovskite solar cells
Nature Reviews Materials, 2022Furkan H Isikgor +2 more
exaly
Methods of Lower and Upper Solutions
2014Stanisław Brzychczy, Roman R. Poznanski
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The passivity of lithium electrodes in liquid electrolytes for secondary batteries
Nature Reviews Materials, 2021Dominic Bresser +2 more
exaly
Better solutions needed to reduce suicides among patients with cancer
Ca-A Cancer Journal for Clinicians, 2023exaly
Ion Dissociation in Ionic Liquids and Ionic Liquid Solutions
Chemical Reviews, 2020Joan F Brennecke
exaly

