Results 51 to 60 of about 1,694,073 (353)
On linear matrix differential equations
AbstractIf F(z) ≠ 0 is a holomorphic function on a connected open subset U of the complex plane, it is easily shown that F satisfies a homogeneous linear differential equation of order n on U with leading coefficient 1 if and only if all the zeros of F have order less than n. This theorem will be generalized to holomorphic m × n matrix valued functions
Richard M. Koch, Franklin Lowenthal
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Global existence for rough differential equations under linear growth conditions [PDF]
We prove existence of global solutions for differential equations driven by a geometric rough path under the condition that the vector fields have linear growth. We show by an explicit counter-example that the linear growth condition is not sufficient if
Gubinelli, Massimiliano, Lejay, Antoine
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The mitochondrial outer membrane iron–sulphur ([Fe‐S]) protein mitoNEET is a target of the type‐2 diabetes drug pioglitazone. Its unknown molecular function is linked to respiratory complex activity and mitochondrial function. We discovered that O2 protects the mitoNEET [2Fe‐2S] cluster against NO oxidation and desensitization towards reduction by H2S.
Thao Nghi Hoang+9 more
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Constructive factorization of LPDO in two variables
We study conditions under which a partial differential operator of arbitrary order $n$ in two variables or ordinary linear differential operator admits a factorization with a first-order factor on the left.
A. Loewy+8 more
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Characterization of fungal carbonyl sulfide hydrolase belonging to clade D β‐carbonic anhydrase
Here, we performed a functional analysis of the fungal enzymes belonging to clade D of the β‐class carbonic anhydrase family (β‐D‐CA). The β‐D‐CAs in the basidiomycete Gloeophyllum trabeum and the ascomycete Trichoderma harzianum showed very low activity in the hydration of CO2 but exhibited high activity in the hydrolysis of carbonyl sulfide (COS ...
Ryuka Iizuka+6 more
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System of semilinear ordinary differential equation and fractional differential equation of distributed order is investigated and solved in a mild and classical sense.
Atanackovic, Teodor M.+2 more
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The glacier ice worm Mesenchytraeus solifugus survives year‐round at 0 °C. Its ATP6 subunit, which forms a regulatory component of the proton pore in mitochondrial ATP synthase, has a carboxy‐terminal extension not found in any other organism examined to date. Here, we show that fusion of this extension to the homologous AtpB protein in E. coli results
Truman Dunkley+2 more
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We present a numerical method to solve the linear Fredholm integro-differential equation in reproducing kernel space. A simple algorithm is given to obtain the approximate solutions of the equation. Through the comparison of approximate and true solution,
Xueqin Lv, Yue Gao
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On the local linearization of differential equations [PDF]
1. Consider the autonomous system of real, nonlinear differential equations (1.1) x' = Ex+F(x), where F(I x)= o(IxI) as x -0, x is a (Euclidean) vector, F(x) a smooth vector-valued function of x, and E a constant matrix with eigenvalues el, e2, -satisfying (1.2) Re ej 5 0.
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The interaction between Agrobacterium fabrum phytochromes Agp1 and Agp2 was studied using FRET. Full‐length and truncated proteins with varied label positions provided spatial insights, narrowing down from many docking models to three. These models explain Agp2's reduction in Agp1 autophosphorylation, with Arg83 of Agp2 specifically evolved to interact
Afaf El Kurdi+7 more
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