Results 111 to 120 of about 5,238,146 (379)

Smoothed integral equations

open access: yesJournal of Mathematical Analysis and Applications, 2011
AbstractFor a linear integral equation x(t)=a(t)−∫0tB(t,s)x(s)ds there is a resolvent equation R(t,s)=B(t,s)−∫stB(t,u)R(u,s)du and a variation of parameters formula x(t)=a(t)−∫0tR(t,s)a(s)ds. It is assumed that B is a perturbed convex function and that a(t) may be badly behaved in several ways.
Theodore Burton, D. P. Dwiggins
openaire   +2 more sources

Some new nonlinear integral inequalities and their applications in the qualitative analysis of differential equations

open access: yesJournal of Inequalities and Applications, 2011
In this paper, some new nonlinear integral inequalities are established, which provide a handy tool for analyzing the global existence and boundedness of solutions of differential and integral equations.
Zheng Bin, Feng Qinghua
doaj  

EMT‐associated bias in the Parsortix® system observed with pancreatic cancer cell lines

open access: yesMolecular Oncology, EarlyView.
The Parsortix® system was tested for CTC enrichment using pancreatic cancer cell lines with different EMT phenotypes. Spike‐in experiments showed lower recovery of mesenchymal‐like cells. This was confirmed with an EMT‐inducible breast cancer cell line.
Nele Vandenbussche   +8 more
wiley   +1 more source

An integral equation approach to boundary value problems of classical elastostatics

open access: yes, 1967
The analogy between potential theory and classical elasticity suggests an extension of the powerful method of integral equations to the boundary value problems of elasticity.
F. Rizzo
semanticscholar   +1 more source

Tumor clusters with divergent inflammation and human retroelement expression determine the clinical outcome of patients with serous ovarian cancer

open access: yesMolecular Oncology, EarlyView.
Analysis of treatment‐naïve high‐grade serous ovarian carcinoma (HGSOC) and control tissues for ERVs, LINE‐1 (L1), inflammation, and immune checkpoints identified five clusters with diverse patient recurrence‐free survivals. An inflammation score was calculated and correlated with retroelement expression, where one novel cluster (Triple‐I) with high ...
Laura Glossner   +6 more
wiley   +1 more source

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