Results 41 to 50 of about 456,539 (203)

Positive Solutions to Schrödinger’s Equation and the Exponential Integrability of the Balayage [PDF]

Annales de l'Institut Fourier, 2017
Let Ω⊂ℝ n , for n≥2, be a bounded C 2 domain. Let q∈L loc 1 (Ω) with q≥0. We give necessary conditions and matching sufficient conditions, which differ only in the constants involved, for the existence of very weak solutions to the boundary value problem (-▵-q)u=0, u≥0 on Ω, u=1 on ∂Ω, and the related nonlinear problem with quadratic growth in the ...
Frazier, Michael W., Verbitsky, Igor E.
openaire   +2 more sources

ON THE NONEXISTENCE OF POSITIVE SOLUTION OF SOME NONLINEAR INTEGRAL EQUATION

Demonstratio Mathematica, 2003
Summary: We consider the nonlinear integral equation \[ u(x)= \int_{\mathbb{R}^N} {g(x,y,u(y))\,dy\over|y- x|^\sigma},\quad\text{for all }x\in \mathbb{R}^N,\tag{1} \] where \(\sigma\) is a given positive constant and the given function \(g(x,y,u)\) is continuous and \(g(x,y,u)\geq M{|y|^\beta u^\alpha\over (1+|x|)^\gamma}\) for all \(x,y\in \mathbb{R ...
Nguyen Thanh Long, Dinh Van Ruy
openaire   +2 more sources

Positive solutions of fractional differential equations involving the Riemann–Stieltjes integral boundary condition

Advances in Difference Equations, 2018
In this article, the following boundary value problem of fractional differential equation with Riemann–Stieltjes integral boundary condition {D0+αu(t)+λf(t,u(t),u(t))=0 ...
Qilin Song, Zhanbing Bai
doaj   +1 more source

Positive Solutions of a Class of Nonlinear Integral Equations and Applications

Journal of Integral Equations and Applications, 1992
The authors consider the following nonlinear integral equation \[ u(x)=\lambda\int_ \Omega K(x,y)f(y,u(y))dy,\tag{1} \] where \(\lambda>0\) is a parameter, \(\Omega\) is a bounded closed domain in \(R^ N\), \(K\) is a nonnegative function and \(f(x,u)\) is a reciprocal of a polynomial. Under some additional assumptions, it is shown that (1) has exactly
Erbe, Lynn, Guo, Dajun, Liu, Xinzhi
openaire   +3 more sources

Nontrivial solutions of systems of Hammerstein integral equations with first derivative dependence

, 2017
By means of classical fixed point index, we prove new results on the existence, non-existence, localization and multiplicity of nontrivial solutions for systems of Hammerstein integral equations where the nonlinearities are allowed to depend on the first
Infante, Gennaro, Minhós, Feliz
core   +1 more source

Exploring Preferences for a Digital Single‐Session Intervention for Adolescent Siblings of Youth With Cancer

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Introduction Adolescent siblings of children with cancer are at elevated risk for psychosocial problems. Unfortunately, various barriers such as limited family time and resources, conflicting schedules, and psychosocial staffing constraints at cancer centers hinder sibling access to support.
Christina M. Amaro, Sarah Silver, Prishi Patel, Meredith K. Reffner Collins, Kimberly S. Canter, Stephanie Fooks‐Parker, Michael Amylon, Shawna V. Hudson, Jessica L. Schleider, Melissa A. Alderfer, Katie A. Devine   +10 more
wiley   +1 more source

Exact solutions to the modified Korteweg-de Vries equation

, 2010
A formula for certain exact solutions to the modified Korteweg-de Vries (mKdV) equation is obtained via the inverse scattering transform method. The kernel of the relevant Marchenko integral equation is written with the help of matrix exponentials as ...
Demontis, Francesco
core   +1 more source

The Camassa-Holm equation as the long-wave limit of the improved Boussinesq equation and of a class of nonlocal wave equations [PDF]

, 2015
In the present study we prove rigorously that in the long-wave limit, the unidirectional solutions of a class of nonlocal wave equations to which the improved Boussinesq equation belongs are well approximated by the solutions of the Camassa-Holm equation
A. A. Alazman, A. Constantin, A. Constantin, A. Constantin, A. Constantin, A. Erkip, D. Ionescu-Kruse, D. J. Korteweg, D. Lannes, G. Schneider, H. A. Erbay, H. A. Erbay, H. A. Erbay, J. L. Bona, N. Duruk, N. Duruk, R. Camassa, R. S. Johnson, S. Erbay, T. B. Benjamin, T. Gallay   +20 more
core   +3 more sources

Mapping the evolution of mitochondrial complex I through structural variation

FEBS Letters, EarlyView.
Respiratory complex I (CI) is crucial for bioenergetic metabolism in many prokaryotes and eukaryotes. It is composed of a conserved set of core subunits and additional accessory subunits that vary depending on the organism. Here, we categorize CI subunits from available structures to map the evolution of CI across eukaryotes. Respiratory complex I (CI)
Dong‐Woo Shin, Tingting Chen, James A. Letts   +2 more
wiley   +1 more source

Positive almost periodic solutions of some delay integral equations

Journal of Differential Equations, 1990
The author studies a class of delay integral equations which arises in models for the spread of epidemics. He shows the existence of positive almost periodic solutions, gives a priori bounds on the set of positive solutions and uniqueness results.
Fink, A.M, Gatica, J.A
openaire   +2 more sources