Results 21 to 30 of about 6,620 (262)
Mathematics, 2023 In this paper, we analytically study the two-dimensional unsteady irrotational flow of an ideal incompressible fluid in a half-plane whose boundary is assumed to be a linear sink.
Nikolay M. Zubarev
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Parameterization Method for State-Dependent Delay Perturbation of an Ordinary Differential Equation [PDF]
SIAM Journal on Mathematical Analysis, 2021 We consider state-dependent delay equations (SDDEs) obtained by adding delays to a planar ODE with a limit cycle. Situations of this type appear in models of several physical processes, where small delay effects are added. Even if the delays are small, they are very singular perturbations since the natural phase space of an SDDE is an infinite ...
Jiaqi Yang +2 more
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Symmetries of th-Order Approximate Stochastic Ordinary Differential Equations
Journal of Applied Mathematics, 2012 Symmetries of th-order approximate stochastic ordinary differential equations (SODEs) are studied. The determining equations of these SODEs are derived in an Itô calculus context. These determining equations are not stochastic in nature.
E. Fredericks, F. M. Mahomed
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On construction of the comparison function of program motion in probable statement
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 In the class of ordinary differential equations the following modification of the inverse problem of differential systems was previously considered: to construct both a set of systems of differential equations and a set of comparison functions for the ...
G.K. Vassilina, M.I. Tleubergenov
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A Ghost Perturbation Scheme to Solve Ordinary Differential Equations
, 2022 Abstract We propose an algebraic method that finds a sequence of functions that exponentially approach the solution of any second-order ordinary differential equation (ODE) with any boundary conditions. We define an extended ODE (eODE) composed of a linear generic differential operator that depends on free parameters, p, plus an ϵ perturbation ...
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Perturbation theorems for ordinary differential equations
Journal of Differential Equations, 1967 x’ =.f(4 4, (NJ x’ =“f@, 4 + g(4 4, (P) x’ =.f(4 4 + g(c 4 + h(t), (PI) where f(t, X) is continuous, satisfies a Lipschitz condition on some semicylinder, f(t, 0) = 0, and x = 0 is uniform asymptotically stable for (N). Let g(t, x) and h(t) be sufficiently smooth for local existence and uniqueness.
Strauss, Aaron, Yorke, James A
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Features of Oscillations in Adiabatic Oscillators with Delay
Моделирование и анализ информационных систем, 2013 In this paper, we describe the features of oscillations in adiabatic oscillators when the delay is introduced into the equation. We give a short description of the method of asymptotic integration of one class of linear delay differential systems in the ...
P. N. Nesterov, E. N. Agafonchikov
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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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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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The Shewanella oneidensis Fic enzyme SoFic targets the switch‐I region of EF‐Tu for AMPylation
FEBS Letters, EarlyView.Fic enzymes mediate diverse post‐translational modifications across all domains of life, including AMPylation. Prokaryotic EF‐Tu can be AMPylated and deAMPylated by the conserved Fic enzyme SoFic. Structural and biochemical approaches were used to characterize the effect of AMPylation on EF‐Tu, SoFic's enzymatic activities, and the enzyme‐target ...
Svenja Runge +6 more
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