Results 91 to 100 of about 240,126 (265)
The period functionsʼ higher order derivatives
Journal of Differential Equations, 2012 We prove a formula for the $n$-th derivative of the period function $T$ in a period annulus of a planar differential system. For $n = 1$, we obtain Freire, Gasull and Guillamon formula for the period's first derivative \cite{FGG}. We apply such a result to hamiltonian systems with separable variables and other systems.
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Raman‐based label‐free microscopic analysis of the pancreas in living zebrafish larvae
FEBS Open Bio, EarlyView.Forward stimulated Raman scattering (F‐SRS) and epi coherent anti‐Stokes Raman scattering (E‐CARS) allow label‐free discrimination of distinct subcellular structures in the pancreas of living zebrafish larvae. Given the straightforward applicability, we anticipate broad implementation of Raman microscopy in other organs and across various biomedical ...
Noura Faraj +3 more
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Anti-periodic solutions for second order differential inclusions
Electronic Journal of Differential Equations, 2004 In this paper, we extend the existence results presented in [9] for $L^{p}$ spaces to operator inclusions of Hammerstein type in $W^{1,p}$ spaces.
Jean-Francois Couchouron +1 more
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Single‐molecule DNA flow‐stretch assays for high‐throughput DNA–protein interaction studies
FEBS Open Bio, EarlyView.We describe an optimised single‐molecule DNA flow‐stretch assay that visualises DNA–protein interactions in real time. Linear DNA fragments are tethered to a surface and stretched by buffer flow for fluorescence imaging. Using λ and φX174 DNA, this protocol enhances reproducibility and accessibility, providing a versatile approach for studying diverse ...
Ayush Kumar Ganguli +8 more
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Periodic boundary value problems of second order random differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2009 In this paper, an existence and the existence of extremal random solutions are proved for a periodic boundary value problem of second order ordinary random differential equations.
Bapurao Dhage +2 more
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On lattice ordered periodic semigroups [PDF]
Czechoslovak Mathematical Journal, 1993 The purpose of this note is to give some algebraic properties of lattice- ordered periodic semigroups and particularly in the finite case. The main results. Classes of the following equivalence relation \(\mathcal F\) are called spindles and will be denoted \(F_ e\), where \(e\) is the idempotent of this class: \(a\equiv b{\mathcal F}\Leftrightarrow e ...
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FEBS Open Bio, EarlyView.Early‐life exposure to a high‐fat diet altered intact Achilles tendons in rat offspring, making them thinner, stiffer, and molecularly distinct even without injury. These findings suggest that developmental high‐fat diet exposure may impair tendon quality and increase susceptibility to mechanical overload or tendon injury later in life.
Heyong Yin +3 more
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Periodic solutions of non-autonomous second order systems with p-Laplacian
Electronic Journal of Differential Equations, 2009 We prove the existence of periodic solutions for non-autonomous second order systems with p-Laplacian. Our main tools are the minimax methods in critical point theory. Our results are new, even when p=2.
Jihui Zhang, Zhiyong Wang
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Directed evolution of enzymes at the crossroads of tradition and innovation
FEBS Open Bio, EarlyView.An iterative cycle of data‐driven enzyme optimization comprising four stages: genetic diversification of a template enzyme, expression of protein variants, high‐throughput evaluation, and machine‐learning‐guided redesign of the next variant library.
Maria Tomkova +2 more
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Nontrivial Periodic Solutions for Nonlinear Second-Order Difference Equations
Discrete Dynamics in Nature and Society, 2011 This paper is concerned with the existence of nontrivial periodic solutions and positive periodic solutions to a nonlinear second-order difference equation.
Tieshan He +3 more
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