IMA Journal of Mathematical Control and Information 1989 6(3):267-273; doi:10.1093/imamci/6.3.267
© 1989 by Institute of Mathematics and its Applications
Controllability of Nonlinear Infinite-Delay Systems
KRISHNAN BALACHANDRAN
Department of Mathematics, Bharathiar University Coimbatore 641046, Tamil Nadu, India
Using the measure of noncompactness of a set and the Darbo fixed-point theorem, a theorem is proved on the existence of solutions of a certain type of nonlinear integrodifferential equations with infinite delay and implicit derivative. Sufficient conditions are established for the global controllability of such systems.

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