Nonautonomous attractors for integro-differential evolution equations (original) (raw)
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A functional integro-differential equation with delay is a hereditary system in which the rate of change, or the derivative of the unknown function or set-function, depends upon the past history. A functional integro-differential equation of neutral type is a hereditary system in which the derivative of the unknown function is determined by the values of a state variable as well as the derivative of the state variable over some past interval in the phase space. Although the general theory and the basic results for integro-differential equations have now been thoroughly investigated, the study of functional integro-differential equations is nowhere near complete. In recent years, there has been an increasing interest in such equations among mathematicians in many countries. The study of abstract measure differential equations was initiated by Sharma [11, 12] and Dhage et al. [6], while the study of abstract measure integro-differential equations was initiated and developed at length ...
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