Results 151 to 160 of about 13,879,944 (380)

Positive solutions of singular boundary value problem of negative exponent Emden--Fowler equation [PDF]

Proc. Indian Acad. Sci. (Math. Sci.), Vol. 113, No. 2, May 2003, pp. 195-205, 2003
This paper investigates the existence of positive solutions of a singular boundary value problem with negative exponent similar to standard Emden--Fowler equation. A necessary and sufficient condition for the existence of $C[0,1]$ positive solutions as well as $C^{1}[0,1]$ positive solutions is given by means of the method of lower and upper solutions ...
arxiv  

Martin boundary and positive solutions of some boundary value problems [PDF]

, 1965
Evgeny B. Dynkin
openalex   +1 more source

Combined spatially resolved metabolomics and spatial transcriptomics reveal the mechanism of RACK1‐mediated fatty acid synthesis

Molecular Oncology, EarlyView.
The authors analyzed the spatial distributions of gene and metabolite profiles in cervical cancer through spatial transcriptomic and spatially resolved metabolomic techniques. Pivotal genes and metabolites within these cases were then identified and validated.
Lixiu Xu, Jinqiu Li, Junqi Ma, Ayshamgul Hasim   +3 more
wiley   +1 more source

On the positivity of local mild solutions to stochastic evolution equations [PDF]

arXiv, 2019
We provide sufficient conditions on the coefficients of a stochastic evolution equation on a Hilbert space of functions driven by a cylindrical Wiener process ensuring that its mild solution is positive if the initial datum is positive. As an application, we discuss the positivity of forward rates in the Heath-Jarrow-Morton model via Musiela's ...
arxiv  

Uniqueness of positive solutions of parabolic equations with unbounded coefficients [PDF]

, 1967
D. G. Aronson, P. Besala
openalex   +1 more source

Circulating tumor DNA (ctDNA) trajectories predict survival in trifluridine/tipiracil‐treated metastatic colorectal cancer patients

Molecular Oncology, EarlyView.
The authors applied joint/mixed models that predict mortality of trifluridine/tipiracil‐treated metastatic colorectal cancer patients based on circulating tumor DNA (ctDNA) trajectories. Patients at high risk of death could be spared aggressive therapy with the prospect of a higher quality of life in their remaining lifetime, whereas patients with a ...
Matthias Unseld, Stefan Kühberger, Ricarda Graf, Christine Beichler, Markus Braun, Nadia Dandachi, Ellen Heitzer, Gerald W. Prager   +7 more
wiley   +1 more source

Integrative systems‐level analysis reveals a contextual crosstalk between hypoxia and global metabolism in human breast tumors

Molecular Oncology, EarlyView.
Breast tumor samples scored for metabolic deregulation (M1 to M3) were given a hypoxia score (HS). The highest HS occurred in patients with strongest metabolic deregulation (M3), supporting tumor aggressiveness. HS correlated with the highest number of metabolic pathways in M1. This suggests hypoxia to be an early event in metabolic deregulation.
Raefa Abou Khouzam, Salem Chouaib, Mohammad Askandar Iqbal   +2 more
wiley   +1 more source

Improving GNSS Positioning in Challenging Urban Areas by Digital Twin Database Correction [PDF]

arXiv
Accurate positioning technology is the foundation for industry and business applications. Although indoor and outdoor positioning techniques have been well studied separately, positioning performance in the intermediate period of changing the positioning environment is still challenging.
arxiv  

Exact solutions of effective mass Schroedinger equations [PDF]

arXiv, 2001
We outline a general method of obtaining exact solutions of Schroedinger equations with a position dependent effective mass. Exact solutions of several potentials including shape invariant potentials have also been obtained.
arxiv  

Nonexistence and uniqueness of positive solutions of nonlinear eigenvalue problems [PDF]

, 1968
Herbert B. Keller
openalex   +1 more source