Linear functional-differential equations on the line

G. Belitskii, V. Nicolaevsky

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Multidimensional equation ∑lj=1(Djy)(Fjx) = γ(x) is considered. Here x ∈ ℝ1 and DJ : C∞(ℝ1, C m) → C∞(ℝ1, C n) are given differential linear operators. We build a theory of this equation via "common dynamics" of maps Fj. In particular, it is proved that the operator T0 : C∞(ℝ1, C m) → C∞(ℝ1, C n) with affine transformations Fjx = αjx + βj and differential linear operators Dj with constant coefficients is semi-Fredholm.

Original languageEnglish
Pages (from-to)2585-2593
Number of pages9
JournalNonlinear Analysis, Theory, Methods and Applications
Issue number5
StatePublished - 1 Jan 1997

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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