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Numerical Solution of Implicit Neutral Functional Differential Equations
SIAM Journal on Numerical Analysis, 1999The 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 \(y(t_0)=Y_0\).
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Slowly varying, linear, neutral, functional, differential equations†
International Journal of Control, 1973Abstract 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, 1995Some 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.
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Ulam–Hyers–Rassias stability of neutral stochastic functional differential equations
Stochastics, 2022Tomas Caraballo, Lassaad Mchiri
exaly
Stability of Neutral Type Functional Differential Equations
1992V. Kolmanovskii, A. Myshkis
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Functional Imaging of Cancer with Emphasis on Molecular Techniques
Ca-A Cancer Journal for Clinicians, 2007Mohamed Houseni
exaly
Razumikhin-Type Theorems on Stability of Neutral Stochastic Functional Differential Equations
IEEE Transactions on Automatic Control, 2008Feiqi Deng
exaly
Existence results for impulsive neutral functional differential equations with infinite delay
Nonlinear Analysis: Hybrid Systems, 2008M Mallika Arjunan
exaly

