Results 81 to 90 of about 318,439 (262)

Upper and lower bounds of solutions for fractional integral equations [PDF]

Surveys in Mathematics and its Applications, 2007
n this paper we consider the integral equation of fractional order in sense of Riemann-Liouville operator um(t) = a(t) Iα [b(t)u(t)]+f(t) with m ≥ 1, t ∈ [0, T], T < ∞ and 0< α
Rabha W. Ibrahim, Shaher Momani
doaj  

Upper and lower solution method for Hilfer fractional evolution equations with nonlocal conditions

Boundary Value Problems, 2019
This paper is concerned with the existence of extremal mild solutions for Hilfer fractional evolution equations with nonlocal conditions in an ordered Banach space E.
Haide Gou, Yongxiang Li
doaj   +1 more source

Lower and Upper Solutions for Singular Derivative Dependent Dirichlet Problem [PDF]

Mathematical Inequalities & Applications, 2001
The author develops the lower and upper solution method to work out the Dirichlet problem \[ u''+f(t,u,u')=0,\quad u(a)=0,\;u(b)=0, \] where \(f\) can be singular for \(t=a\), \(t=b\) and \(u=0\). Solutions are supposed to be in \(W^{1,1}(a,b)\cap W^{2,1}_{loc}(a,b)\).
openaire   +1 more source

Loss of proton‐sensing TDAG8 increases tumor progression in mouse models of colon cancer

Molecular Oncology, EarlyView.
Loss of the pH‐sensing receptor TDAG8 accelerates colorectal cancer progression in mice. Animals lacking TDAG8 expression had increased tumor growth, DNA damage, and recruitment of tumor‐associated immune cells, including macrophages, neutrophils, and monocytes.
Ermanno Malagola, Yasmine Illi, Anna Bircher, Marijn Wilmink, Rachele F. Malagutti, Solenn Ottié, Cordelia Schuler, Pedro A. Ruiz, Cheryl de Vallière, Klaus Seuwen, Gerhard Rogler, Martin Hausmann   +11 more
wiley   +1 more source

Spatial and single‐nuclei transcriptomics reveals idiosyncratic and generic patterns in papillary and anaplastic thyroid cancers

Molecular Oncology, EarlyView.
Matched spatial transcriptomics and single‐nuclei RNA‐seq were generated for anaplastic and BRAFV600E papillary thyroid cancers revealing generic and tumor‐specific states occurring in cancer cells and in the tumor microenvironment. In this context, cancer dedifferentiation mirrored organoid maturation through ordered thyroid marker gain/loss ...
Adrien Tourneur, Joel Rodrigues Vitória, Manuel Saiselet, Ligia Craciun, Denis Larsimont, Anne Lefort, Frédérick Libert, Carine Maenhaut, Sabine Costagliola, Maxime Tarabichi, Mirian Romitti, Vincent Detours   +11 more
wiley   +1 more source

The method of upper and lower solutions for Caratheodory n-th order differential inclusions

Electronic Journal of Differential Equations, 2004
In this paper, we prove an existence theorem for n-th order differential inclusions under Caratheodory conditions. The existence of extremal solutions is also obtained under certain monotonicity condition of the multi-function.
Bupurao C. Dhage, Tarachand L. Holambe, Sotiris K. Ntouyas   +2 more
doaj  

In vitro and in silico modelling of ROS1‐positive non‐small cell lung cancer reveals fusion‐dependent tyrosine kinase inhibitor responses

Molecular Oncology, EarlyView.
Drug resistance limits treatment success in a subset of lung cancers driven by ROS1 gene alterations. Using patient‐derived cells and computer simulations, we studied three key mutations and how they affect five targeted drugs. The mutations reduced drug effectiveness in different ways by altering protein structure and behavior.
Farhan Ul Haq, Marc Terrones, Felicia Rodrigues Fortes, Anne Schepers, Alessia Denis, Christophe Deben, Ken Op de Beeck, Guy Van Camp, Geert Vandeweyer   +8 more
wiley   +1 more source

ZW4864‐mediated inhibition of the β‐catenin/BCL9/BCL9L complex reveals therapeutic potential in bladder cancer

Molecular Oncology, EarlyView.
BCL9 and BCL9L drive bladder cancer progression by enhancing β‐catenin signaling, promoting proliferation, migration, invasion, and organoid growth. Genetic depletion of BCL9(L) suppresses malignant phenotypes, while pharmacological disruption of the β‐catenin/BCL9(L) complex with ZW4864 inhibits canonical Wnt signaling and tumor‐associated cellular ...
Roland Kotolloshi, Mandy Berndt‐Paetz, Eileen Lerner, Gregoire Najjar, Anca Azoitei, Krishna Pal Singh, Shailendra Kumar Gupta, Olaf Wolkenhauer, Cagatay Günes, Otmar Huber, Marc‐Oliver Grimm, Daniel Steinbach   +11 more
wiley   +1 more source

Existence of stable periodic solutions for quasilinear parabolic problems in the presence of well-ordered lower and upper-solutions

Electronic Journal of Differential Equations, 2002
We present existence and stability results for periodic solutions of quasilinear parabolic equation related to Leray-Lions's type operators. To prove existence and localization, we use the penalty method; while for stability we use an approximation ...
Abderrahmane El Hachimi, Abdelilah Lamrani Alaoui   +1 more
doaj  

Two Abstract Methods of Lower and Upper Solutions with Applications

Results in Mathematics
Abstract In this paper, we present two abstract methods for constructing a lower and an upper solution for a fixed point equation. The first method applies when the nonlinear operator is a composition of a linear and a nonlinear mapping, while the second method applies when the nonlinear operator satisfies an inequality of Harnack ...
openaire   +2 more sources