Results 61 to 70 of about 725,779 (280)

Abstract random differential equations with state-dependent delay using measures of noncompactness

Nonlinear Analysis
This paper is devoted to the existence of random mild solutions for a general class of second-order abstract random differential equations with state-dependent delay.
Amel Heris, Zohra Bouteffal, Abdelkrim Salim, Mouffak Benchohra, Erdal Karapınar   +4 more
doaj   +1 more source

Bounded Solutions of Some Abstract Differential Equations [PDF]

Proceedings of the American Mathematical Society, 1969
there followAs the existence of a sequence (tn)r -oo, such that SUPn;N Czu(tn)1x to, the function u(t) admits the representation u(t) = T(t-to)u(to). Also, a well-known fact is that (Xo-A)-1T(t) = T(t)(Xo-A)-1. Let us put now: w(t) = (Xo-A)-lu(t); obviously sequence {Io(tn) }l contains a convergent subsequence C0(tn)jCX, and co(t) = T(t-to)0(to), Vt_to.
openaire   +1 more source

Bridging the gap: Multi‐stakeholder perspectives of molecular diagnostics in oncology

Molecular Oncology, EarlyView.
Although molecular diagnostics is transforming cancer care, implementing novel technologies remains challenging. This study identifies unmet needs and technology requirements through a two‐step stakeholder involvement. Liquid biopsies for monitoring applications and predictive biomarker testing emerge as key unmet needs. Technology requirements vary by
Jorine Arnouts, Senada Koljenović, Elise Daems, Karolien De Wael, Marc Peeters, Léon C. van Kempen, Greetje Vanhoutte, Karen Zwaenepoel, Timon Vandamme   +8 more
wiley   +1 more source

S-asymptotically omega-periodic solutions for abstract neutral differential equations

Electronic Journal of Differential Equations, 2015
In this article we study the existence of S-asymptotically omega-periodic solutions for abstract neutral functional differential equations recently, introduced in the literature.
Michelle Pierri, Donal O'Regan
doaj  

$(\omega,c)$-periodic functions and mild solutions to abstract fractional integro-differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2018
In this paper we study a new class of functions, which we call $(\omega,c)$-periodic functions. This collection includes periodic, anti-periodic, Bloch and unbounded functions.
Edgardo Alvarez, Adrián Gómez, Manuel Pinto   +2 more
doaj   +1 more source

Hyers–Ulam stability of second-order differential equations using Mahgoub transform

Advances in Difference Equations, 2021
The aim of this research is investigating the Hyers–Ulam stability of second-order differential equations. We introduce a new method of investigation for the stability of differential equations by using the Mahgoub transform. This is the first attempt of
Antony Raj Aruldass, Divyakumari Pachaiyappan, Choonkil Park   +2 more
doaj   +1 more source

Integrated genomic and proteomic profiling reveals insights into chemoradiation resistance in cervical cancer

Molecular Oncology, EarlyView.
A comprehensive genomic and proteomic analysis of cervical cancer revealed STK11 and STX3 as a potential biomarkers of chemoradiation resistance. Our study demonstrated EGFR as a therapeutic target, paving the way for precision strategies to overcome treatment failure and the DNA repair pathway as a critical mechanism of resistance.
Janani Sambath, Irene A. George, Srikanth S. Manda, Prasanth Ariyannur, Ekta R. Dhawale, Raja Sekhar Kommu, Rajan Datar, Darshana Patil, Vinita Trivedi, Manisha Singh, Kumar Prabhash, Sewanti Limaye, Richa Chauhan, Prashant Kumar   +13 more
wiley   +1 more source

A synthetic benzoxazine dimer derivative targets c‐Myc to inhibit colorectal cancer progression

Molecular Oncology, EarlyView.
Benzoxazine dimer derivatives bind to the bHLH‐LZ region of c‐Myc, disrupting c‐Myc/MAX complexes, which are evaluated from SAR analysis. This increases ubiquitination and reduces cellular c‐Myc. Impairing DNA repair mechanisms is shown through proteomic analysis.
Nicharat Sriratanasak, Bodee Nutho, Worawat Wattanathana, Narumon Phaonakrop, Bunnatut Panasawatwong, Katharina Erlenbach‐Wuensch, Sittiruk Roytrakul, Regine Schneider‐Stock, Pithi Chanvorachote   +8 more
wiley   +1 more source

Duality for Nonlinear Abstract Evolution Differential Equations

Zeitschrift für Analysis und ihre Anwendungen, 1991
The existence of periodic solutions and duality results for an abstract differential equation in HiIbert space are established. The dual variational method and a modification of the duality theory of Toland are used.
Nowakowski, A., Rogowski, A.
openaire   +2 more sources

Cytoplasmic p21 promotes stemness of colon cancer cells via activation of the NFκB pathway

Molecular Oncology, EarlyView.
Cytoplasmic p21 promotes colorectal cancer stem cell (CSC) features by destabilizing the NFκB–IκB complex, activating NFκB signaling, and upregulating BCL‐xL and COX2. In contrast to nuclear p21, cytoplasmic p21 enhances spheroid formation and stemness transcription factor CD133.
Arnatchai Maiuthed, Kerstin Huebner, Katharina Erlenbach‐Wuensch, Chuanpit Hampel, Daniela Thalheim, Adriana Vial‐Roehe, Bodee Nutho, Susanne Merkel, Arndt Hartmann, Pithi Chanvorachote, Regine Schneider‐Stock   +10 more
wiley   +1 more source