Summary
We investigate stability, uniform stability and equi-asymptotic stability with respect to the x-components and y-components of a differential equation with time delay. We also obtain necessary and sufficient conditions for the generalized asymptotic stability of the exponential type with respect to the components which generalizes the work of Corduneanu[3]. We make use of Lyapunov functionals and differential inequalities in our study.
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Entrata in Redazione il 7 luglio 1978.
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Akinyele, O. On partial stability of differential equations with time delay. Annali di Matematica 121, 351–372 (1979). https://doi.org/10.1007/BF02412012
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DOI: https://doi.org/10.1007/BF02412012