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Numerical Solution of Implicit Neutral Functional Differential Equations

SIAM Journal on Numerical Analysis, 1999
The paper is concerned with the solution of the implicit neutral functional differential equation \[ [y(t)-g(t,y(\varphi(t)))]'=f_0(t,y(t),y(\varphi(t))),\quad t\geq t_0, \] where \(f_0,\;g\) and \(\varphi\) are given functions with \(\varphi(t)\leq t\) for \(t\geq t_0\), endowed with the initial condition \(y(t_0)=Y_0\).
openaire   +1 more source

Slowly varying, linear, neutral, functional, differential equations†

International Journal of Control, 1973
Abstract For a slowly varying, linear, neutral, functional, differential equation, a sufficient condition is derived which ensures uniform exponential stability.
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Oscillations of mixed neutral functional differential equations

Applied Mathematics and Computation, 1995
Some sufficient conditions for the oscillation of solutions of mixed neutral functional differential equations of the form \({d^n \over dt^n} (x(t) + cx (t - h) + Cx (t + H)) + qx(t - g) + Qx(t + G) = 0\) where \(c,C,G,h\) and \(H\) are real constants, and \(q\) and \(Q\) are nonnegative real constants, are established.
openaire   +2 more sources

Functional Imaging of Cancer with Emphasis on Molecular Techniques

Ca-A Cancer Journal for Clinicians, 2007
Mohamed Houseni
exaly  

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