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Differentiable semiflows for differential equations with state-dependent delays.

Walther, Hans-Otto — 2003

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

Smoothness of the attractor of almost all solutions of a delay differential equation

Walther Hans-Otto; Yebdri Mustapha — 1997

AbstractLet a C¹-function f:ℝ → ℝ be given which satisfies f(0) = 0, f'(ξ) < 0 for all ξ ∈ ℝ, and sup f < ∞ or -∞ < inf f. Let C = C([-1,0],ℝ). For an open-dense set of initial data the phase curves [0,∞) → C given by the solutions [-1,∞) → ℝ to the negative feedback equationx'(t) = -μx(t) + f(x(t-1)), with μ > 0,are absorbed into the positively invariant set S ⊂ C of data ϕ ≠ 0 with at most one sign change. The global attractor A of the semiflow restricted to S̅ is either the singleton...

Bifurcation from a saddle connection in functional differential equations: An approach with inclination lemmas

Hans-Otto Walther — 1990

CONTENTSIntroduction...........................................................................................................................................5 I.........................................................................................................................................................151. Preliminaries...................................................................................................................................152. Solutions of a family of differential...

Corrections to "Bifurcation from a saddle connection in functional differential equations: An approach with inclination lemmas" (Dissertationes Math. 291 (1990))

Hans-Otto Walther — 1993

Annales Polonici Mathematici

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Currently displaying 1 – 8 of 8

Differentiable semiflows for differential equations with state-dependent delays.

Smoothness of the attractor of almost all solutions of a delay differential equation

Bifurcation from a saddle connection in functional differential equations: An approach with inclination lemmas

An invariant manifold of slowly oscillating solutions for x(t) = - ...x(t) + f(x(t-1)).

Bifurcation from Periodic Solutions in Functional Differential Equations.

Stability of Attractivity Regions for Autonomous Functional Differential Equations.

Homoclinic and periodic solutions of scalar differential delay equations

Corrections to "Bifurcation from a saddle connection in functional differential equations: An approach with inclination lemmas" (Dissertationes Math. 291 (1990))