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Functional differential equations close to differential equations [PDF]
when the lag function r(t) is nearly constant for large /, and has also asked for conditions on the function r under which all solutions approach zero as t—» oo. The purpose of this announcement is to initiate a study of various stability and oscillation problems for equations with perturbed lag functions, and to suggest that a modification of the ...
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Structural insights into an engineered feruloyl esterase with improved MHET degrading properties
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
Hyers-Ulam-Rassias Stability for a First Order Functional Differential Equation
In this paper, by using the fixed point method, we prove two new results on the Hyers-Ulam-Rassias and the Hyers-Ulam stability for the first order delay differential equation of the form y′(t) = F(t, y(t), y(t −τ )).
Cemil Tunç, Emel Biçer
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Diversity and complexity in neural organoids
Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
wiley +1 more source
Analytic solution of certain second-order functional differential equation
We consider the existence of analytic solutions of a certain class of iterative second-order functional differential equation of the form x″(x[r](z))=c0z2+c1(x(z))2+(c2x[2](z))2+⋯+cm(x[m](z))2, m,r≥0.
Theeradach Kaewong, Piyapong Niamsup
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Oscillation of certain functional differential equations [PDF]
The author presents several sufficient conditions for all bounded solutions to the linear system of delay differential equations \[ (-1)^{m+1}\frac {d^m y_i(t)}{d t^m}+\sum _{j=1}^{n}q_{ij}y_i(t-h_{ij})=0, \quad m\geq 1,\;i=1,2,\dots,n, \] to be oscillatory.
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Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure +3 more
wiley +1 more source
We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace +6 more
wiley +1 more source
We state a growth functional equation related with the Von Bertalanffy physiological differential ...
Carlos Julio Rodríguez B. +1 more
doaj +1 more source
A Certain Functional–Differential Equation
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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