Results 71 to 80 of about 1,101,646 (327)
Ordinary differential equations with only entire solutions [PDF]
arXiv, 1997 We prove necessary and sufficient conditions for a system $\dot z_i=z_ip_i(z)$ ($p_i$ a polynomial) to have only entire analytic functions as solutions.
arxiv
The power of microRNA regulation—insights into immunity and metabolism
FEBS Letters, EarlyView.MicroRNAs are emerging as crucial regulators at the intersection of metabolism and immunity. This review examines how miRNAs coordinate glucose and lipid metabolism while simultaneously modulating T‐cell development and immune responses. Moreover, it highlights how cutting‐edge artificial intelligence applications can identify miRNA biomarkers ...
Stefania Oliveto +2 more
wiley +1 more source
Annales Mathematicae SilesianaeIn this paper we are focusing on finding the transcendental entire solution of Fermat-type trinomial and binomial equations, by restricting the hyper-order to be less than one.
Banerjee Abhijit, Sarkar Jhuma
doaj +1 more source
Entire Solutions of the Fisher-KPP Equation on the Half Line [PDF]
arXiv, 2018 In this paper we study the entire solutions of the Fisher-KPP equation $u_t=u_{xx}+f(u)$ on the half line $[0,\infty)$ with Dirichlet boundary condition at $x=0$. (1). For any $c\geq 2\sqrt{f'(0)}$, we show the existence of an entire solution $\mathcal{U}^c(x,t)$ which connects the traveling wave solution $\phi^c(x+ct)$ at $t=-\infty$ and the unique ...
arxiv
Front-like entire solutions for equations with convection
Journal of Differential Equations, 2012 AbstractWe construct families of front-like entire solutions for problems with convection, both for bistable and monostable reaction–diffusion–convection equations, and, via vanishing-viscosity arguments, for bistable and monostable balance laws. The unified approach employed is inspired by ideas of Chen and Guo and based on a robust method using front-
Je Chiang Tsai, Elaine Crooks
openaire +4 more sources
Identification of novel small molecule inhibitors of ETS transcription factors
FEBS Letters, EarlyView.ETS transcription factors play an essential role in tumourigenesis and are indispensable for sprouting angiogenesis, a hallmark of cancer, which fuels tumour expansion and dissemination. Thus, targeting ETS transcription factor function could represent an effective, multifaceted strategy to block tumour growth. The evolutionarily conserved E‐Twenty‐Six
Shaima Abdalla +9 more
wiley +1 more source
Existence of entire radial solutions to Hessian type system
Boundary Value Problems, 2022 In this paper, the Dirichlet problem of Hessian type system is studied. After converting the existence of an entire solution to the existence of a fixed point of a continuous mapping, the existence of entire radial solutions is established by Schaefer ...
Jixian Cui
doaj +1 more source
Entire Solutions Of Certain Non-Linear Differential-Difference Equations [PDF]
arXiv, 2021 In this paper, we study about existence and non-existence of finite order transcendental entire solutions of the certain non-linear differential-difference equations. We also study about conjectures posed by Rong et al. and Chen et al.
arxiv
Entire solutions for a discrete diffusive equation
Journal of Mathematical Analysis and Applications, 2008 Abstract We study entire solutions of a discrete diffusive equation with bistable nonlinearity. It is well known that there are three different wavefronts connecting any two of those three equilibria, say, 0 , a , 1 . We construct three different types of entire solutions. The first one is a solution which behaves as two opposite wavefronts (
openaire +2 more sources
Existence of entire solutions of some non-linear differential-difference equations
Journal of Inequalities and Applications, 2017 In this paper, we investigate the admissible entire solutions of finite order of the differential-difference equations ( f ′ ( z ) ) 2 + P 2 ( z ) f 2 ( z + c ) = Q ( z ) e α ( z ) $(f'(z))^{2}+P^{2}(z)f^{2}(z+c)=Q(z)e^{\alpha(z)}$ and ( f ′ ( z ) ) 2 + [
Minfeng Chen, Zongsheng Gao, Yunfei Du
doaj +1 more source