Results 91 to 100 of about 735,542 (308)

New contiguity relation of the sixth Painlev\'e equation from a truncation

, 2001
For the master Painlev\'e equation P6(u), we define a consistent method, adapted from the Weiss truncation for partial differential equations, which allows us to obtain the first degree birational transformation of Okamoto.
Clarkson, Deift, Fokas, Fokas, Fokas, Fuchs, Garnier, Garnier, Gordoa, Gordoa, Hone, Jimbo, Korotkin, Micheline Musette, Musette, Musette, Muğan, Nijhoff, Okamoto, Okamoto, Painlevé, Robert Conte, Schlesinger, Weiss   +23 more
core   +1 more source

Half-linear differential equations: Regular variation, principal solutions, and asymptotic classes

Electronic Journal of Qualitative Theory of Differential Equations, 2023
We are interested in the structure of the solution space of second-order half-linear differential equations taking into account various classifications regarding asymptotics of solutions. We focus on an exhaustive analysis of the relations among several types of classes which include the classes constructed with respect to the ...
openaire   +5 more sources

Recurrent cancer‐associated ERBB4 mutations are transforming and confer resistance to targeted therapies

Molecular Oncology, EarlyView.
We show that the majority of the 18 analyzed recurrent cancer‐associated ERBB4 mutations are transforming. The most potent mutations are activating, co‐operate with other ERBB receptors, and are sensitive to pan‐ERBB inhibitors. Activating ERBB4 mutations also promote therapy resistance in EGFR‐mutant lung cancer.
Veera K. Ojala, Sini Ahonen, Sara Peltola, Aura Tuohisto‐Kokko, Olaya Esparta, Peppi Suominen, Anne Jokilammi, Iman Farahani, Deepankar Chakroborty, Nikol Dibus, Steffen Boettcher, Tomi T. Airenne, Mark S. Johnson, Lisa D. Eli, Klaus Elenius, Kari J. Kurppa   +15 more
wiley   +1 more source

Existence of non-oscillatory solutions for second-order advanced half-linear differential equations

Electronic Journal of Differential Equations, 2013
In this article, we establish the necessary and sufficient conditions for existence of non-oscillatory solutions for the second-order advanced half-linear differential equation $$ ig(r(t)|x'(t)|^{alpha-1}x'(t)ig)'+p(t)|x(h(t)ig)|^{alpha-1}x(h(t))=0,
Aijun Cheng, Zhiting Xu
doaj  

Properties of monotonic solutions to half-linear second-order delay differential equations

AIMS Mathematics
This paper establishes new monotonic properties of nonoscillatory solutions for second-order half-linear functional differential equations with delayed argument \begin{document}$ \begin{equation*} (a(r)(u'(r))^{m})' = b(r)u^{m}(\varphi(r)) \end ...
Pakize Temtek, Yerzhan Turarov
doaj   +1 more source

Oscillation criteria for second-order neutral delay differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2017
New sufficient conditions for oscillation of second-order neutral half-linear delay differential equations are given. Our results essentially improve, complement and simplify a number of related ones in the literature, especially those from a recent ...
Martin Bohner, Said Grace, Irena Jadlovská   +2 more
doaj   +1 more source

Resolvent estimates for 2 dimensional perturbations of plane Couette Flow

, 2002
We present results concerning resolvent estimates for the linear operator associated with the system of differential equations governing perturbations of the Couette flow.
Silva, Pablo Braz e
core   +3 more sources

Crucial parameters for precise copy number variation detection in formalin‐fixed paraffin‐embedded solid cancer samples

Molecular Oncology, EarlyView.
This study shows that copy number variations (CNVs) can be reliably detected in formalin‐fixed paraffin‐embedded (FFPE) solid cancer samples using ultra‐low‐pass whole‐genome sequencing, provided that key (pre)‐analytical parameters are optimized.
Hanne Goris, Vasiliki Siozopoulou, Léon C van Kempen, Anne Sieben, Ella Roelant, Stig Hellemans, Elyne Backx, Laure Sorber, Koen De Winne, Senada Koljenović, Karen Zwaenepoel   +10 more
wiley   +1 more source

Oscillatory behavior of the second order noncanonical differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2019
Establishing monotonical properties of nonoscillatory solutions we introduce new oscillatory criteria for the second order noncanonical differential equation with delay/advanced argument \begin{equation*} (r(t)y'(t))'+p(t)y(\tau(t))=0. \end{equation*}
Blanka Baculíková
doaj   +1 more source

Targeted modulation of IGFL2‐AS1 reveals its translational potential in cervical adenocarcinoma

Molecular Oncology, EarlyView.
Cervical adenocarcinoma patients face worse outcomes than squamous cell carcinoma counterparts despite similar treatment. The identification of IGFL2‐AS1's differential expression provides a molecular basis for distinguishing these histotypes, paving the way for personalized therapies and improved survival in vulnerable populations globally.
Ricardo Cesar Cintra, Lucca Paolo Hsu Helmich, Daniel Rodrigues de Bastos, Laura Sichero, Patrícia Savio de Araujo‐Souza, Fabio Passetti, Luisa Lina Villa   +6 more
wiley   +1 more source