Results 61 to 70 of about 1,822,413 (315)
A stability theory for perturbed differential equations
International Journal of Mathematics and Mathematical Sciences, 1979 The problem of determining the behavior of the solutions of a perturbed differential equation with respect to the solutions of the original unperturbed differential equation is studied.
Sheldon P. Gordon
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Oscillation Analysis Algorithm for Nonlinear Second-Order Neutral Differential Equations
Mathematics, 2023 Differential equations are useful mathematical tools for solving complex problems. Differential equations include ordinary and partial differential equations.
Liang Song, Shaodong Chen, Guoxin Wang
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Differential/Algebraic Equations As Stiff Ordinary Differential Equations
SIAM Journal on Numerical Analysis, 1992 To a system of differential algebraic equations: \[ \text{(DAE)}\quad y'(t)=f(t,y(t),z(t),0),\quad g(t,y(t),z(t),0)=0, \] a system of singularly perturbed ordinary differential equations: \[ \text{(ODE)}\quad y_ \varepsilon'(t)=f(t,y_ \varepsilon(t),z_ \varepsilon(t),\varepsilon), \varepsilon z_ \varepsilon'(t)=g(t,y_ \varepsilon(t),z_ \varepsilon(t ...
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A Cre‐dependent lentiviral vector for neuron subtype‐specific expression of large proteins
FEBS Letters, EarlyView.We designed a versatile and modular lentivector comprising a Cre‐dependent switch and self‐cleaving 2A peptide and tested it for co‐expression of GFP and a 2.8 kb gene of interest (GOI) in mouse cortical parvalbumin (PV+) interneurons and midbrain dopamine (TH+) neurons.
Weixuan Xue +6 more
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On Some Functional-Differential Equation [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2016 The necessary and sufficient conditions for the existence and uniqueness of a solution of the problem for the functional-differential equation are established.
N.P. Evlampiev +2 more
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Discretizing a backward stochastic differential equation
International Journal of Mathematics and Mathematical Sciences, 2002 We show a simple method to discretize Pardoux-Peng's nonlinear backward stochastic differential equation. This discretization scheme also gives a numerical method to solve a class of semi-linear PDEs.
Yinnan Zhang, Weian Zheng
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Nonlinear differential equation with first order partial derivatives
Вестник КазНУ. Серия математика, механика, информатика, 2018 The asymptotic behavior of solutions of a nonlinear differential equation with first-order partial derivatives solved with respect to one of the derivatives is investigated.
T. М. Aldibekov, M. M. Aldazharova
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Orthonormal Polynomials on the Unit Circle and Spatially Discrete Painlev\'e II Equation
, 1999 We consider the polynomials $\phi_n(z)= \kappa_n (z^n+ b_{n-1} z^{n-1}+ >...)$ orthonormal with respect to the weight $\exp(\sqrt{\lambda} (z+ 1/z)) dz/2 \pi i z$ on the unit circle in the complex plane.
Chie Bing Wang +9 more
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Difference–Differential Equations [PDF]
Nature, 1948 THE general linear homogeneous difference–differential equation with constant coefficients is where 0 ⩽ μ ⩽m, 0⩽ν ⩽ n, y(ν)(t) is the ν-th derivative of the unknown function y (t) and 0 = b0 bm, if amn≠ 0. (2) Was first given by Hilb8, but under conditions which would exclude most of the applications.
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By dawn or dusk—how circadian timing rewrites bacterial infection outcomes
FEBS Letters, EarlyView.The circadian clock shapes immune function, yet its influence on infection outcomes is only beginning to be understood. This review highlights how circadian timing alters host responses to the bacterial pathogens Salmonella enterica, Listeria monocytogenes, and Streptococcus pneumoniae revealing that the effectiveness of immune defense depends not only
Devons Mo +2 more
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