Tzanko Donchev, Ammara Nosheen
Abstract:
Fuzzy differential equation with right-hand side defined as a sum of two almost
continuous functions is studied. The first function satisfies dissipative-type
condition with respect to Lyapunov-like function. The second maps
bounded sets into relatively compact sets. The existence of solution is proved
with aid of Schauder's fixed point theorem.
Submitted July 27, 2012. Published February 19, 2014.
Math Subject Classifications: 34A07, 34G20.
Key Words: Lyapunov-like function; compact perturbations; fuzzy sets.
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Tzanko Donchev Department of Mathematics, "Al. I. Cuza" University Ia\c{s}i 700506, Romania email: tzankodd@gmail.com | |
Ammara Nosheen Abdus Salam School of Mathematical Sciences 68-B, New Muslim Town Lahore, Pakistan email: hafiza_amara@yahoo.com |
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