Examples of Retarded Functional Differential Equations on Manifolds
Chapter
Abstract
Autonomous retarded functional differential equations on ℝn are usually defined as equations of the form
where f maps C0(I, ℝn) into ℝn. Taking M = ℝn and identifying TM with ℝn × ℝn, one can define the function F: C0(I,M) → TM such that F(φ) = φ (0), f(φ)). If f is continuous, then F is an RFDE on M = ℝn which can be identified with the above equation.
$$\dot x\left( t \right) = f\left( {{x_t}} \right)$$
Keywords
Variational Equation Differential Delay Equation Multiplicative Factor Central Projection Delay Equation
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© Springer-Verlag Berlin Heidelberg 1984