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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

Ulam–Hyers–Rassias stability of neutral stochastic functional differential equations

Stochastics, 2022
Tomáš Caraballo   +2 more
exaly  

Existence results for impulsive neutral functional differential equations with infinite delay

Nonlinear Analysis: Hybrid Systems, 2008
A Anguraj, M Mallika Arjunan
exaly  

Stability Analysis of $\Theta$-Methods for Nonlinear Neutral Functional Differential Equations

SIAM Journal of Scientific Computing, 2008
Wansheng Wang, Shoufu Li
exaly  

Razumikhin-Type Theorems on Stability of Neutral Stochastic Functional Differential Equations

IEEE Transactions on Automatic Control, 2008
Lirong Huang, Feiqi Deng
exaly  

Existence of solutions for impulsive partial neutral functional differential equations

Journal of Mathematical Analysis and Applications, 2007
Eduardo Hernández M
exaly  

On Spectral Method for Volterra Functional Integro-Differential Equations of Neutral Type

Numerical Functional Analysis and Optimization, 2014
S Sedaghat   +2 more
exaly  

Periodic solutions of abstract neutral functional differential equations

Journal of Mathematical Analysis and Applications, 2012
Michelle Pierri
exaly  

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