Results 51 to 60 of about 2,601,937 (224)
Oscillatory bifurcation for semilinear ordinary differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We consider the nonlinear eigenvalue problem \[u''(t) + \lambda f(u(t)) = 0, \quad u(t) > 0, \quad t \in I := (-1,1), \quad u(1) = u(-1) = 0, \] where $f(u) = u + (1/2)\sin^k u$ ($k \ge 2$) and $\lambda > 0$ is a bifurcation parameter.
Tetsutaro Shibata
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Computing with polynomial ordinary differential equations
Journal of Complexity, 2016 In 1941, Claude Shannon introduced the General Purpose Analog Computer(GPAC) as a mathematical model of Differential Analysers, that is to say as a model of continuous-time analog (mechanical, and later one electronic) machines of that time. Following Shannon's arguments, functions generated by GPACs must be differentially algebraic.
Bournez, Olivier +2 more
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Synergistic perspectives—How single‐molecule biophysics complement biochemical understanding
FEBS Letters, EarlyView.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
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PYTHON IN ORDINARY DIFFERENTIAL EQUATIONS LEARNING
BarekengUsing software in mathematics learning can improve students' soft and hard mathematics skills at the high school and college levels. Therefore, using software in the learning process is important, including in learning Differential Equations.
Sigit Sugiarto +2 more
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Green's Function Method for Ordinary Differential Equations
مجلة المختار للعلوم, 2013 The analytical solution of non homogeneous boundary value problem in the form: Lyx=fx axb B1ya=0 B2yb=0 are obtained by using Green's function method.
Fouad A Zein Elarab +1 more
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FEBS Letters, EarlyView.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
Structural and biochemical analysis of a B12 superbinder
FEBS Letters, EarlyView.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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Time averaging for ordinary differential equations and retarded functional differential equations
Electronic Journal of Differential Equations, 2010 We prove averaging theorems for non-autonomous ordinary differential equations and retarded functional differential equations in the case where the vector fields are continuous in the spatial variable uniformly with respect to the time and the ...
Mustapha Lakrib, Tewfik Sari
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MathematicsA geometric-analytic approach to studying invariants of solvable nonlinear ordinary differential equations is developed. In particular, there is described in detail a general scheme of constructing solvable nonlinear ordinary differential equations ...
Anatolij K. Prykarpatski +4 more
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Numerical Solution of Stieltjes Differential Equations
Mathematics, 2020 This work is devoted to the obtaining of a new numerical scheme based on quadrature formulae for the Lebesgue–Stieltjes integral for the approximation of Stieltjes ordinary differential equations.
Francisco J. Fernández +1 more
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