Back to matchesWe found a matchYour institution may have access to this item. Find your institution then sign in to continue.TitleGreen–Samoilenko operator in the theory of invariant sets of nonlinear differential equations.AuthorsPerestyuk, M. O.; Slyusarchuk, V. Yu.AbstractWe establish conditions for the existence of an invariant set of the system of differential equations where a: Φ→Φ, P: Φ→ L( X, X), and F: Φ × X→ X are continuous mappings and Φ and X are finite-dimensional Banach spaces.SubjectsDIFFERENTIAL equations; BANACH spaces; BESSEL functions; DIFFERENTIABLE dynamical systems; GENERALIZED spacesPublicationUkrainian Mathematical Journal, 2009, Vol 61, Issue 7, p1123ISSN0041-5995Publication typeArticleDOI10.1007/s11253-009-0265-2