Results 51 to 60 of about 1,713 (207)
An asymptotic result for some delay difference equations with continuous variable
We consider a nonhomogeneous linear delay difference equation with continuous variable and establish an asymptotic result for the solutions. Our result is obtained by the use of a positive root with an appropriate property of the so called characteristic
I. K. Purnaras, Ch. G. Philos
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Oscillation of a second order half-linear difference equation and the discrete Hardy inequality
In local terms on finite and infinite intervals we obtain necessary and sufficient conditions for the conjugacy and disconjugacy of the following second order half-linear difference equation \begin{equation*} \Delta(\rho_i|\Delta y_i|^{p-2}\Delta y_i ...
Aigerim Kalybay +3 more
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Synergistic perspectives—How single‐molecule biophysics complement biochemical understanding
In this review, we discuss how ensemble biochemistry and single‐molecule approaches are complementary, outline commonly used single‐molecule techniques, and illustrate their relevance through two representative case studies: chromatin organization by SMC complexes and pathway choice during DNA double‐strand break repair.
Sara De Bragança +2 more
wiley +1 more source
Encapsulins are protein nanocompartments that play an important role in iron storage. In the Myxococcus xanthus encapsulin system, two cargo proteins called EncB and EncC contribute to iron mineralization. Here, we show that EncB and EncC generate iron‐containing minerals with distinct chemical compositions, suggesting that the composition of stored ...
Harry B. McDowell +2 more
wiley +1 more source
Solvability of boundary-value problems for a linear partial difference equation
In this article we consider the two-dimensional boundary-value problem $$\displaylines{ d_{m,n}=d_{m-1,n}+f_nd_{m-1,n-1},\quad 1\le ...
Stevo Stevic
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Global Behavior of Certain Nonautonomous Linearizable Three Term Difference Equations
We investigate the nonautonomous difference equation with real initial conditions and coefficients g i , i = 0 , 1 which are in general functions of n and/or the state variables x n , x n − 1 , … , and satisfy g 0 +
E. J. Janowski, M. R. S. Kulenović
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Structural and biochemical analysis of a B12 superbinder
BtuG proteins are vitamin B12 scavengers in Bacteroides thetaiotaomicron, a dominant human gut bacterium. We present crystal structures of three BtuG homologs bound to cobalamin and its precursor cobinamide, revealing picomolar binding affinities, among the highest known for any natural protein.
Jose M. Martinez Felices +3 more
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Oscillation of second-order quasilinear retarded difference equations via canonical transform [PDF]
We study the oscillatory behavior of the second-order quasi-linear retarded difference equation \Delta(p(n)(\Delta y(n))^\alpha)+\eta(n) y^\beta(n- k)=0 under the condition $\sum_{n=n_0}^\infty p^{-\frc1{\alpha}}(n)<\infty$ (i.e., the ...
George E. Chatzarakis +3 more
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Mycobacterial 3‐methylcrotonyl‐CoA carboxylase uses a mobile biotin‐carrying domain to shuttle a carboxyl group between two catalytic sites, enabling carboxylation of 3‐methylcrotonyl‐CoA during leucine breakdown. Cryo‐electron microscopy captures the carrier at both sites and reveals an inward loop movement that may prevent futile rebinding to the ...
Ajit Yadav +2 more
wiley +1 more source
On the stability conditions for a linear difference equation with variable delay
The constant $3/2$, which determines sufficient conditions for the stability of linear nonautonomous differential equations with delay, was first obtained by A. D.
K. M. Chudinov
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