Results 101 to 110 of about 6,725,901 (296)

New Oscillation Conditions for Second Order Half-Linear Advanced Difference Equations

, 2019
This paper aims to establish adequate conditions that are intended for the oscillation of every solution of the second order advanced type half-linear difference equations with noncanonical form.
P. Dinakar, S. Selvarangam, E. Thandapani   +2 more
semanticscholar   +1 more source

A nodal domain theorem and a higher-order Cheeger inequality for the graph $p$-Laplacian [PDF]

, 2016
We consider the nonlinear graph $p$-Laplacian and its set of eigenvalues and associated eigenfunctions of this operator defined by a variational principle. We prove a nodal domain theorem for the graph $p$-Laplacian for any $p\geq 1$. While for $p>1$ the
Hein, Matthias, Tudisco, Francesco
core   +1 more source

Approximation properties of the $q$-sine bases

, 2011
For $q>12/11$ the eigenfunctions of the non-linear eigenvalue problem associated to the one-dimensional $q$-Laplacian are known to form a Riesz basis of $L^2(0,1)$. We examine in this paper the approximation properties of this family of functions and its
Barrett J. W., Ebmeyer C., Elbert Á., Lindqvist P., Prévôt C., Rossi J., Zhang H-Y., Ôtani M.   +7 more
core   +1 more source

β‐TrCP overexpression enhances cisplatin sensitivity by depleting BRCA1

Molecular Oncology, EarlyView.
Low levels of β‐TrCP (Panel A) allow the accumulation of BRCA1 and CtIP, which facilitate the repair of cisplatin‐induced DNA damage via homologous recombination (HR) and promote tumor cell survival. In contrast, high β‐TrCP expression (Panel B) leads to BRCA1 and CtIP degradation, impairing HR repair, resulting in persistent DNA damage and apoptosis ...
Rocío Jiménez‐Guerrero, Alejandro Belmonte‐Fernández, Mónica González‐Moreno, Laura Rodríguez‐Cordero, Begoña Pérez‐Valderrama, Joaquín Herrero‐Ruíz, Francisco Romero, Carmen Sáez, Miguel Á. Japón   +8 more
wiley   +1 more source

PARP inhibitors elicit distinct transcriptional programs in homologous recombination competent castration‐resistant prostate cancer

Molecular Oncology, EarlyView.
PARP inhibitors are used to treat a small subset of prostate cancer patients. These studies reveal that PARP1 activity and expression are different between European American and African American prostate cancer tissue samples. Additionally, different PARP inhibitors cause unique and overlapping transcriptional changes, notably, p53 pathway upregulation.
Moriah L. Cunningham, Jasibel Vasquez‐Gonzalez, Samantha M. Barnada, Salome Tchotorlishvili, Latese Jones, Ryan Maguire, Genevieve Lewis, Kinza Rizwan, Jenny Deng, Salma Koachar, Drithi Patel, Hailey Shankle, Tessa Mulders, Namra Ajmal, Charalambos Solomides, Emad S. Alnemri, Teresa F. Alnemri, Ayesha A. Shafi, Leonard G. Gomella, Wm Kevin Kelly, Steven B. McMahon, Matthew J. Schiewer   +21 more
wiley   +1 more source

Critical Oscillation Constant for Euler Type Half-Linear Differential Equation Having Multi-Different Periodic Coefficients

, 2017
We compute explicitly the oscillation constant for Euler type half-linear second-order differential equation having multi-different periodic coefficients.
Adil Misir, Banu Mermerkaya
semanticscholar   +1 more source

Oscillatory Behavior of Second-Order Half-Linear Neutral Differential Equations with Damping

Advances in Dynamical Systems and Applications, 2019
This paper discusses the oscillatory behavior of solutions to a class of secondorder half-linear neutral differential equations with a damping term. Some new sufficient conditions for all solutions to be oscillatory are given.
E. Tunç, Adil Kaymaz
semanticscholar   +1 more source

Power comparison theorems in half-linear oscillation theory

Journal of Mathematical Analysis and Applications, 2013
We compare oscillatory behavior of two half-linear differential equations with different powers by the homogeneous functions appearing in these equations. Our results generalize and extend several previously proved power comparison theorems.
Ondřej Došlý, Simona Fišnarová, Robert Mařík   +2 more
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

Asymptotic formulas for solutions of half-linear Euler-Weber equation

Electronic Journal of Qualitative Theory of Differential Equations, 2008
We establish improved asymptotic formulas for nonoscillatory solutions of the half-linear Euler-Weber type differential equation $$ (\Phi(x'))'+\left[\frac{\gamma_p}{t^p}+\frac{\mu_p}{t^p\log^2 t}\right]\Phi(x)=0, \quad \Phi(x):=|x|^{p-2}x,\quad p>1 ...
Zuzana Pátíková
doaj   +1 more source