Results 51 to 60 of about 1,023,532 (301)

Parameter-Dependent Dirac Systems on Time Scales

open access: yesCumhuriyet Science Journal, 2018
In this study, we consider two generalized Dirac systems on a time scaleand a boundary-value problem with boundary conditions depending on the spectralparameter. We give some sufficient conditions for disconjugacy of the systemsand obtain a formula about
Ahmet Sinan Özkan
doaj   +1 more source

Symmetric differentiation on time scales

open access: yesApplied Mathematics Letters, 2013
We define a symmetric derivative on an arbitrary nonempty closed subset of the real numbers and derive some of its properties. It is shown that real-valued functions defined on time scales that are neither delta nor nabla differentiable can be symmetric differentiable.
Artur M. C. Brito da Cruz   +2 more
openaire   +3 more sources

Structural insights into an engineered feruloyl esterase with improved MHET degrading properties

open access: yesFEBS Letters, EarlyView.
A feruloyl esterase was engineered to mimic key features of MHETase, enhancing the degradation of PET oligomers. Structural and computational analysis reveal how a point mutation stabilizes the active site and reshapes the binding cleft, expading substrate scope.
Panagiota Karampa   +5 more
wiley   +1 more source

Computer algebra models dynamics on a multigrid across multiple length and time scales [PDF]

open access: yes, 2007
[Abstract]: Methods for modelling dynamics posit just two time scales: a fast and a slow scale. But many applications, including many in continuum mechanics, possess a wide variety of space-time scales; often they possess a continuum of space-time ...
Roberts, A. J.
core  

Proportional Epidemic Models on Time Scales

open access: yesJournal of Mathematical Sciences and Modelling
In this study, some epidemic models such as SI (Susceptible-Infectious), SIR (Susceptible-Infectious-Recovered), and SIS (Susceptible-Infectious-Susceptible) have been formulated using proportional derivative on time scales, and solutions have been ...
Gülcan Tokay, Emrah Yılmaz
doaj   +1 more source

Fractional Sobolev Space on Time Scales and Its Application to a Fractional Boundary Value Problem on Time Scales

open access: yesJournal of Function Spaces, 2022
By the concept of fractional derivative of Riemann-Liouville on time scales, we first introduce fractional Sobolev spaces, characterize them, define weak fractional derivatives, and show that they coincide with the Riemann-Liouville ones on time scales ...
Xing Hu, Yongkun Li
doaj   +1 more source

A Survey of Function Analysis and Applied Dynamic Equations on Hybrid Time Scales

open access: yesEntropy, 2021
As an effective tool to unify discrete and continuous analysis, time scale calculus have been widely applied to study dynamic systems in both theoretical and practical aspects. In addition to such a classical role of unification, the dynamic equations on
Chao Wang, Ravi P. Agarwal
doaj   +1 more source

Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system

open access: yesFEBS Letters, EarlyView.
Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
wiley   +1 more source

Self-adjoint boundary-value problems on time-scales [PDF]

open access: yes, 2007
NOTE: THE MATHEMATICAL SYMBOLS IN THIS ABSTRACT CANNOT BE DISPLAYED CORRECTLY ON THIS PAGE. PLEASE REFER TO THE ABSTRACT IN THE ATTACHED FILE OR THE PUBLISHERS WEBSITE FOR AN ACCURATE DISPLAY.
Bryan P. Rynne   +5 more
core  

Diamond-α Jensen's Inequality on Time Scales

open access: yesJournal of Inequalities and Applications, 2008
The theory and applications of dynamic derivatives on time scales have recently received considerable attention. The primary purpose of this paper is to give basic properties of diamond-α derivatives which are a linear combination of delta and nabla ...
Delfim F. M. Torres   +2 more
doaj   +1 more source

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