Results 101 to 110 of about 1,009,185 (275)
Oscillations of half-linear second order differential equations
Let \(\varphi:\mathbb{R}\to\mathbb{R}\) be defined by \(\varphi(s)=|s|^{p-2}s\), with \(p>1\) a fixed number. We extend Sturm's comparison theorem of the linear differential equation \[ {\textstyle {\frac{d}{dt}}} [r(t)u'(t)]+ c(t)u(t)=0 \] to the nonlinear differential equation \[ {\textstyle {\frac{d}{dt}}} \{r(t)\varphi(u'(t))\}+ c(t)\varphi(u(t))=0,
Li, Horng Jaan, Yeh, Cheh Chih
openaire +2 more sources
Why human connection is the true metric of research success
Human‐centred mentorship can be shaped by mentor attributes, actions, intrinsic drive and career ambition. Drawing on reflections across Singapore and France, as well as workshop insights from FEBS‐IUBMB ENABLE 2024, this article shows that human‐centred mentorship creates the conditions for sustainable growth, well‐being and retention in research ...
Timothy Lin Yun Tan +3 more
wiley +1 more source
Oscillation constant for modified Euler type half-linear equations
Applying the modified half-linear Prufer angle, we study oscillation properties of the half-linear differential equation $$ [ r(t) t^{p-1} \Phi(x')]' + \frac{s(t)}{t \log^pt} \Phi(x) = 0, \quad \Phi(x)=|x|^{p-1}\hbox{sgn} x.
Petr Hasil, Michal Vesely
doaj
Asymptotic solutions of forced nonlinear second order differential equations and their extensions
Using a modified version of Schauder's fixed point theorem, measures of non-compactness and classical techniques, we provide new general results on the asymptotic behavior and the non-oscillation of second order scalar nonlinear differential equations on
Mingarelli, Angelo B. +1 more
core +3 more sources
YIPFα1A expression is regulated by multilayered molecular mechanisms
YIPFα1A, a five‐pass Golgi protein, is regulated at multiple layers. (1) Rare‐codon enrichment drives translation‐coupled mRNA decay. (2) A proximal 3′‐UTR element stabilizes mRNA. (3) A distal 3′‐UTR element included by alternate poly(A) site usage represses translation, which can be overridden by the proximal 3′‐UTR element.
Tokio Takaji +2 more
wiley +1 more source
Evolutionary analysis across 32 placental mammals identified positive selection at residues H148 and W149 in the immune receptor FcγR1. Ancestral reconstruction combined with molecular dynamics simulations reveals how these mutations may influence receptor structure and dynamics, providing insight into the evolution of antibody recognition and immune ...
David A. Young +7 more
wiley +1 more source
Oscillation and Nonoscillation of Asymptotically Almost Periodic Half-Linear Difference Equations
We analyse half-linear difference equations with asymptotically almost periodic coefficients. Using the adapted Riccati transformation, we prove that these equations are conditionally oscillatory.
Michal Veselý, Petr Hasil
doaj +1 more source
Tracking Motor Progression and Device‐Aided Therapy Eligibility in Parkinson's Disease
ABSTRACT Objective To characterise the progression of motor symptoms and identify eligibility for device‐aided therapies in Parkinson's disease, using both the 5‐2‐1 criteria and a refined clinical definition, while examining differences across genetic subgroups.
David Ledingham +7 more
wiley +1 more source
Age‐Related Characteristics of SYT1‐Associated Neurodevelopmental Disorder
ABSTRACT Objectives We describe the clinical manifestations and developmental abilities of individuals with SYT1‐associated neurodevelopmental disorder (Baker‐Gordon syndrome) from infancy to adulthood. We further describe the neuroradiological and electrophysiological characteristics of the condition at different ages, and explore the associations ...
Sam G. Norwitz +3 more
wiley +1 more source
Oscillation results for second-order half-linear differential equations
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