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Numerical solution of retarded functional differential equations as partial differential equations

IFAC Proceedings Volumes, 2000
Abstract The initial value problem for Delay Differential Equations (DDEs) (1) y 1 ( t ) = f ( t , y ( t ) , y ( t − τ 1 ) , … , y ( t − τ n ) ) , t ≥ t 0 , y ( t ) = φ ( t ) , t ≤ t 0 .
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Stable and unstable manifolds for partial functional differential equations

Nonlinear Analysis: Theory, Methods & Applications, 1991
Untersucht werden Systeme der Form \(\partial u(t,x)/\partial t=d\Delta u(t,x)+f(t,u_ t(,x))\), \(t>0\), \(x\in \Omega \subset {\mathbb{R}}^ n\), mit Anfangsbedingungen für \(u_ x(t,x)\in {\mathbb{R}}^ m\). Mittels einer Halbgruppe T(t) des Systems ohne f-Term wird das Problem als eine Integralgleichung behandelt.
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Existence of solutions for impulsive partial neutral functional differential equations

Journal of Mathematical Analysis and Applications, 2007
Eduardo Hernández M   +1 more
exaly  

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