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 $h$-stability of differential system via $t_\infty$-similarity Bull. Korean Math. Soc. 1997 Vol. 34, No. 3, 371-383 Sung Kyu Choi, Nam Jip Koo, and Hyun Sook Ryu Chungnam National University, Chungnam National University, Chungnam National University Abstract : In recent years M. Pinto introduced the notion of h-stability. He extended the study of exponential stability to a variety of reasonable systems called h-systems. \par We investigate h-stability for the nonlinear differential systems using the notions of $t_{\infty}$-similarity and Liapunov functions. Keywords : h-stability, $t_\infty$-similarity, Liapunov function MSC numbers : 34D10 Downloads: Full-text PDF