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Dissipativity and stability for a nonlinear differential equation with distributed order symmetrized fractional derivative

✍ Scribed by Teodor M. Atanacković; Diana Dolićanin; Sanja Konjik; Stevan Pilipović


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
233 KB
Volume
24
Category
Article
ISSN
0893-9659

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✦ Synopsis


We study the solvability, dissipativity and stability for the equation

where

. . , n, and F (u), u ∈ R, is a locally Lipschitz continuous function on R.


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## Abstract In this paper, we use the coincidence degree theory to establish new results on the existence and uniqueness of __T__ ‐periodic solutions for a class of nonlinear __n__ ‐th order differential equations with delays of the form __x__^(__n__)^(__t__) + __f__ (__x__^(__n‐__ 1)^(__t__)) + _