Abstract
Let CH = {ϕ ∈ C |ϕ| < H}, R+ = [O,∞]. In this section, we consider the system (3.1) with f(t,o) a o, t ∈ R+, f: R+ × CH is continuous and satisfies enough additional hypotheses to ensure that the solution x(σ,ϕ)(t) through (σ,ϕ) is continuous in (σ,ϕ,t) in the domain of definition of the function.
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© 1971 Springer-Verlag New York Inc.
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Hale, J.K. (1971). Definitions of Stability. In: Functional Differential Equations. Applied Mathematical Sciences, vol 3. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-9968-5_10
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DOI: https://doi.org/10.1007/978-1-4615-9968-5_10
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-90023-0
Online ISBN: 978-1-4615-9968-5
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