Results 171 to 180 of about 456,539 (203)

Positive Lp solutions of Hammerstein integral equations

Archiv der Mathematik, 2001
The authors establish the existence of positive \(L^p\)-solution of the Hammerstein integral equation \[ y(t)=h(t)+\int_0^T k(t,s)f(s,y(s)) ds \quad\text{for a.e. } t\in[0,T) \] where \([0,T)\) is either bounded or unbounded interval contained in \(R\). First, for simplicity, the case when \(h\equiv 0\) is considered.
Meehan, Maria, O'Regan, Donal
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Positive solutions of perturbed nonlinear hammerstein integral equation

Mathematica Slovaca, 2017
Abstract We discuss the existence of positive solutions for the nonlinear perturbation of Hammerstein integral equation. The technique we use is based on the fixed point theorem of Leggett-Williams type for strict set contractions. We conclude the paper by providing some examples that illustrate our claim.
Sikorska-Nowak, Aneta, Zima, Mirosława
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Existence of positive solutions to integral equations with weights

Applied Mathematics Letters, 2020
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Qianqiao Guo, Qian Wang
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Positive almost periodic solutions of some neutral integral equation

Nonlinear Analysis: Theory, Methods & Applications, 2009
The authors construct a new fixed point theorem in the cone and prove the existence of positive almost periodic solutions for some neutral integral equation by using the new fixed point theorem. They also provide an example for presenting the applications of theorems obtained in this paper.
Xu, Bin, Zhang, Zhitao
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Existence of Nondecreasing Positive Solutions for a System of Singular Integral Equations

Mediterranean Journal of Mathematics, 2010
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Aghajani, Asadollah, Jalilian, Yaghoub
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Monotonic positive solution of a nonlinear quadratic functional integral equation

Applied Mathematics and Computation, 2010
Let \(a:[0,1]\to \mathbb R_+\) be an integrable and nondecreasing function, and let \(f,g: [0,1]\times \mathbb R_+\to\mathbb R_+\) be Carathéodory functions and there exist two functions \(a_1, a_2\in L_1\) and positive constants \(b_1, b_2\) such that \(g(t,x)\leq a_1(t)+b_1x\), \(f(t,x)\leq a_2(t)+b_2x\) for every \((t,x)\in [0,1]\times \mathbb R_+.\)
El-Sayed, A. M. A., Hashem, H. H. G.
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Asymptotic Branch Points and Multiple Positive Solutions of Nonlinear Integral Equations

SIAM Journal on Mathematical Analysis, 1975
We study the large positive solutions of the nonlinear operator equation $u = A_\lambda u$ in a partially ordered Banach space, where $A_\lambda $ is a positive, asymptotically linear operator depending on a real parameter $\lambda $. We show that large positive solutions exist for $\lambda $ near a number $\mu $ determined by the asymptotic ...
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Positive solutions of semi-positone Hammerstein integral equations and applications

Applied Mathematics and Computation, 2012
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Asymptotic behavior of positive solutions of the integral system involving m equations

Acta Mathematica Scientia
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An overview of real‐world data sources for oncology and considerations for research

Ca-A Cancer Journal for Clinicians, 2022
Lynne Penberthy, Donna R Rivera, Jennifer L Lund, Msph   +2 more
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