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A Perron-type theorem for nonautonomous delay equations

100%

Barreira L., Valls C.

Open Mathematics

2013

tom 11

nr 7

1283-1295

We show that if the Lyapunov exponents of a linear delay equation x′ = L(t)x t are limits, then the same happens with the exponential growth rates of the solutions to the equation x′ = L(t)x t + f(t, x t) for any sufficiently small perturbation f.

A fixed point approach to the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation

76%

Eghbali N., Kalvandi V., Rassias J. M.

Open Mathematics

2016

tom 14

nr 1

237-246

In this paper, we have presented and studied two types of the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation. We prove that the fractional order delay integral equation is Mittag-Leffler-Hyers-Ulam stable on a compact interval with respect to the Chebyshev and Bielecki norms by two notions.

Ograniczanie wyników

2 Open Mathematics

1 Barreira L.

1 Eghbali N.

1 Kalvandi V.

1 Rassias J. M.

1 Valls C.

1 2016

1 2013

Wyniki wyszukiwania

A Perron-type theorem for nonautonomous delay equations

A fixed point approach to the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation