Results 161 to 170 of about 8,296,108 (395)

On the global existence of solutions to an aggregation model

Journal of Mathematical Analysis and Applications, 2008
AbstractIn this paper we consider a reaction–diffusion–chemotaxis aggregation model of Keller–Segel type with a nonlinear, degenerate diffusion. Assuming that the diffusion function f(n) takes values sufficiently large, i.e. takes values greater than the values of a power function with sufficiently high power (f(n)⩾δnp for all n>0, where δ>0 is a ...
Remigiusz Kowalczyk, Zuzanna Szymańska
openaire   +2 more sources

A note on the global existence and boundedness of an N-dimensional parabolic-elliptic predator-prey system with indirect pursuit-evasion interaction

Open Mathematics
We investigate the two-species chemotaxis predator-prey system given by the following system: ut=Δu−χ∇⋅(u∇w)+u(λ1−μ1ur1−1+av),x∈Ω,t>0,vt=Δv+ξ∇⋅(v∇z)+v(λ2−μ2vr2−1−bu),x∈Ω,t>0,0=Δw−w+v,x∈Ω,t>0,0=Δz−z+u,x∈Ω,t>0,\left\{\begin{array}{ll}{u}_{t}=\Delta u-\chi \
Liu Ling
doaj   +1 more source

The analytical solution of Van der Pol and Lienard differential equations within conformable fractional operator by retarded integral inequalities

Demonstratio Mathematica, 2019
In this study we introduced and tested retarded conformable fractional integral inequalities utilizing non-integer order derivatives and integrals. In line with this purpose, we used the Katugampola type conformable fractional calculus which has several ...
Usta Fuat, Sarıkaya Mehmet Zeki
doaj   +1 more source

On the global existence of unique solutions of differential equations in a Banach space [PDF]

, 1978
Shigeo Kato
openalex   +1 more source

Stochastic variation in the FOXM1 transcription program mediates replication stress tolerance

Molecular Oncology, EarlyView.
Cellular heterogeneity is a major cause of drug resistance in cancer. Segeren et al. used single‐cell transcriptomics to investigate gene expression events that correlate with sensitivity to the DNA‐damaging drugs gemcitabine and prexasertib. They show that dampened expression of transcription factor FOXM1 and its target genes protected cells against ...
Hendrika A. Segeren, Kathryn A. Wierenga, Frank M. Riemers, Elsbeth A. van Liere, Bart Westendorp   +4 more
wiley   +1 more source

Global existence and blowup for Choquard equations with an inverse-square potential [PDF]

arXiv, 2019
In this paper, the Choquard equation with an inverse-square potential and both focusing and defocusing nonlinearities in the energy-subcritical regime is investigated. For all the cases, the local well-posedness result in $H^1(\mathbb{R}^N)$ is established.
arxiv  

A Global Existence Theorem for Autonomous Differential Equations in a Banach Space [PDF]

, 1970
R. H. Martin
openalex   +1 more source

Classification of acute myeloid leukemia based on multi‐omics and prognosis prediction value

Molecular Oncology, EarlyView.
The Unsupervised AML Multi‐Omics Classification System (UAMOCS) integrates genomic, methylation, and transcriptomic data to categorize AML patients into three subtypes (UAMOCS1‐3). This classification reveals clinical relevance, highlighting immune and chromosomal characteristics, prognosis, and therapeutic vulnerabilities.
Yang Song, Zhe Wang, Guangji Zhang, Jiangxue Hou, Kaiqi Liu, Shuning Wei, Yan Li, Chunlin Zhou, Dong Lin, Min Wang, Hui Wei, Jianxiang Wang, Tao Cheng, Yingchang Mi   +13 more
wiley   +1 more source

Nonlinear heat equation with viscoelastic term: Global existence and blowup in finite time

Demonstratio Mathematica
In this study, we investigate a nonlinear heat equation incorporating both a viscoelastic term and a reaction-diffusion term that depends on space-time variables.
Vu Ngo Tran, Dung Dao Bao
doaj   +1 more source

The existence of global solutions of a functional-differential equation [PDF]

, 1976
Stefan Czerwik
openalex   +1 more source