Whole Line Solutions to Abstract Functional Differential Equations

2017/02/26 by Kreulich, Josef
#34K09 #34K14 #34K30 #47H06 #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1702.08031

Abstract

In the underlying study it is shown how the linear method of the Yosida-approximation of the derivative applies to solve possibly nonlinear and multivalued functional differential equations like: u^′(t) amp;\inamp; A(t,u_t)u(t) +ωu(t), t ∈ ℝ Furthermore, in the case of finite and infinite delay we give an answer about whether the solution is bounded, periodic, almost periodic, or some kind of almost automorphy.

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