Existence and uniqueness of solutions for the fractional integro-differential equations in Banach spaces.
Two periodic solutions of neutral difference equations modelling physiological processes.
Common fixed points of single-valued and multivalued maps.
Stable time periodic solutions for damped sine-Gordon equations.
Flocking analysis for a generalized Motsch-Tadmor model with piecewise interaction functions and processing delays
In this paper, a generalized Motsch-Tadmor model with piecewise interaction functions and fixed processing delays is investigated. According to functional differential equation theory and correlation properties of the stochastic matrix, we obtained sufficient conditions for the system achieving flocking, including an upper bound of the time delay parameter. When the parameter is less than the upper bound, the system achieves asymptotic flocking under appropriate assumptions.
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