Lyapunov functions and convergence to steady state for differential equations of fractional order
نویسندگان
چکیده
We study the asymptotic behaviour, as t→∞, of bounded solutions to certain integrodifferential equations in finite dimensions which include differential equations of fractional order between 0 and 2. We derive appropriate Lyapunov functions for these equations and prove that any global bounded solution converges to a steady state of a related equation, if the nonlinear potential E occurring in the equation satisfies the Lojasiewicz inequality. AMS subject classification: 45G05, 45M05
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