Results 81 to 90 of about 8,944,209 (378)

On an approximate functional equation involving the divisor function [PDF]

open access: yes, 2014
The error term in the approximate functional equation for exponential sums involving the divisor function will be improved under certain conditions for the parameters of the approximate functional ...
Ernvall-Hytönen, Anne-Maria
core  

Cellular liquid biopsy provides unique chances for disease monitoring, preclinical model generation and therapy adjustment in rare salivary gland cancer patients

open access: yesMolecular Oncology, EarlyView.
We quantified and cultured circulating tumor cells (CTCs) of 62 patients with various cancer types and generated CTC‐derived tumoroid models from two salivary gland cancer patients. Cellular liquid biopsy‐derived information enabled molecular genetic assessment of systemic disease heterogeneity and functional testing for therapy selection in both ...
Nataša Stojanović Gužvić   +31 more
wiley   +1 more source

Multiplicative Cauchy functional equation on symmetric cones

open access: yes, 2014
We solve the multiplicative Cauchy functional equation on symmetric cones with respect to two different multiplication algorithms.
Kołodziejek, Bartosz
core   +1 more source

Integrative analysis of circulating tumor cells (CTCs) and exosomes from small‐cell lung cancer (SCLC) patients: a comprehensive approach

open access: yesMolecular Oncology, EarlyView.
This study simultaneously investigated circulating tumor cells (CTCs) and exosomes from small‐cell lung cancer (SCLC) patients. The elevated expression of JUNB and CXCR4 in CTCs was a poor prognostic factor for SCLC patients, whereas exosomal overexpression of these biomarkers revealed a high discrimination ability of patients from healthy individuals,
Dimitrios Papakonstantinou   +13 more
wiley   +1 more source

On the superstability of the cosine and sine type functional equations

open access: yesAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2016
In this paper, We study the superstablity problem of the cosine and sine type functional equations: f(xσ(y)a)+f(xya)=2f(x)f(y) and f(xσ(y)a)-f(xya)=2f(x)f(y), where f:S → C is a complex valued function; S is a semigroup; σ is an involution of
Fouad Lehlou   +3 more
doaj   +1 more source

A Linear Functional Equation of Third Order Associated with the Fibonacci Numbers

open access: yes, 2014
Given a vector space , we investigate the solutions of the linear functional equation of third order , which is strongly associated with a well-known identity for the Fibonacci numbers. Moreover, we prove the Hyers-Ulam stability of that equation.
Soon-Mo Jung, M. Rassias
semanticscholar   +1 more source

Pontryagin principle for a Mayer problem governed by a delay functional differential equation

open access: yes, 2016
We establish Pontryagin principles for a Mayer's optimal control problem governed by a functional differential equation. The control functions are piecewise continuous and the state functions are piecewise continuously differentiable.
Blot, Joël, Kon\', Mamadou Ibrahima
core   +3 more sources

MET variants with activating N‐lobe mutations identified in hereditary papillary renal cell carcinomas still require ligand stimulation

open access: yesMolecular Oncology, EarlyView.
MET variants in the N‐lobe of the kinase domain, found in hereditary papillary renal cell carcinoma, require ligand stimulation to promote cell transformation, in contrast to other RTK variants. This suggests that HGF expression in the microenvironment is important for tumor growth in such patients. Their sensitivity to MET inhibitors opens the way for
Célia Guérin   +14 more
wiley   +1 more source

Fixed point theorems for mappings satisfying contractive conditions of integral type and applications

open access: yesFixed Point Theory and Applications, 2011
In this paper, the existence, uniqueness and iterative approximations of fixed points for contractive mappings of integral type in complete metric spaces are established.
Kang Shin, Cho Sun, Liu Zeqing, Li Xin
doaj  

Spectral ℝ-Linear Problems: Applications to Complex Permittivity of Coated Cylinders

open access: yesMathematics
A composite-coated inclusion is embedded in a matrix, where the conductivity (permittivity) of the phases is assumed to be complex-valued. The purpose of this paper is to demonstrate that a non-zero flux can arise under specific conditions related to the
Zhanat Zhunussova, Vladimir Mityushev
doaj   +1 more source

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