Results 111 to 120 of about 1,776,451 (338)

On a solution to a functional equation

open access: yes, 2018
We offer a solution to a functional equation using properties of the Mellin transform. A new criteria for the Riemann Hypothesis is offered as an application of our main result, through a functional relationship with the Riemann xi ...
Patkowski, Alexander E
core  

Exploiting metabolic adaptations to overcome dabrafenib treatment resistance in melanoma cells

open access: yesMolecular Oncology, EarlyView.
We show that dabrafenib‐resistant melanoma cells undergo mitochondrial remodeling, leading to elevated respiration and ROS production balanced by stronger antioxidant defenses. This altered redox state promotes survival despite mitochondrial damage but renders resistant cells highly vulnerable to ROS‐inducing compounds such as PEITC, highlighting redox
Silvia Eller   +17 more
wiley   +1 more source

On Ulam Stability of the Davison Functional Equation in m-Banach Spaces

open access: yesAxioms
We prove new Ulam stability results for the Davison functional equation, in the class of mappings h from a ring F into an m-Banach space. In this way, we complement several earlier outcomes, by extending them to the case of m-normed spaces.
El-sayed El-hady, Janusz Brzdęk
doaj   +1 more source

High-Order Nonlinear Functional Differential Equations: New Monotonic Properties and Their Applications [PDF]

open access: gold, 2023
Hail S. Alrashdi   +3 more
openalex   +1 more source

LINC01116, a hypoxia‐lncRNA marker of pathological lymphangiogenesis and poor prognosis in lung adenocarcinoma

open access: yesMolecular Oncology, EarlyView.
The LINC01116 long noncoding RNA is induced by hypoxia and associated with poor prognosis and high recurrence rates in two cohorts of lung adenocarcinoma patients. Here, we demonstrate that besides its expression in cancer cells, LINC01116 is markedly expressed in lymphatic endothelial cells of the tumor stroma in which it participates in hypoxia ...
Marine Gautier‐Isola   +12 more
wiley   +1 more source

Cauchy type functional equations related to some associative rational functions

open access: yesAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2019
L. Losonczi [4] determined local solutions of the generalized Cauchy equation f(F(x, y))= f(x) + f(y) on components of the denition of a given associative rational function F. The class of the associative rational function was described by A. Chéritat [1]
Katarzyna Domańska
doaj  

Transcriptional regulation of neuropeptide receptors underlies context‐dependent adaptation in Drosophila melanogaster

open access: yesFEBS Open Bio, EarlyView.
Under environmental changes, the expression level of neuropeptide (NP) and neuropeptide receptor (NPR) genes changes to confer context‐dependent adaptation to the model organism Drosophila melanogaster. Through finding more regulatory elements in the NPR genes in comparison with their ligands (NPs), we found that NPR‐biased transcriptional regulation ...
SeungHeui Ryu   +6 more
wiley   +1 more source

ON STABILILTY OF GENERALIZED ADDITIVE FUNCTIONAL EQUATIONS IN BANACH SPACE

open access: yesAcademy Journal of Science and Engineering
The stability problem arises when a functional equation is replaced by an inequality. When the equation admits a unique solution, we say that the equation is stable. In this paper, an Arunkumar-Agilan type additive functional equation is considered.
Yusuf Ibrahim, Aminu A. Usman
doaj  

Stability of generalized Newton difference equations

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
In the paper we discuss a stability in the sense of the generalized Hyers-Ulam-Rassias for functional equations Δn(p, c)φ(x) = h(x), which is called generalized Newton difference equations, and give a sufficient condition of the generalized Hyers-Ulam ...
Wang Zhihua, Shi Yong-Guo
doaj   +1 more source

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