Abstract
Lipschitz stability and Lipschitzϕ ∘ - equistability of the functional differential equation\(x' = B(x)f(t,x,x_t ), x_{t_ \circ = \theta _ \circ } \) are discussed. Sufficient conditions are given using the comparison with the corresponding scalar equation.
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M. M. A. El-Sheikh received his B.Sc. from Ain Shams University, Cairo, 1974. In 1979 he received an M.Sc. from Heriot-Watt University, Edinburgh, Scothand, U.K, and in 1985 the Ph.D from Faculty of Science, Al-Azhar University, Cairo. Since 1988 he has been at Menoufia University, Egypt. In 1992, they named him an assistant professor and since 2000 he got the job of professor of Mathematics there. His research interests focus on the stability, oscillation, bifurcation, and other qualitative properties of solutions of systems of ordinary differential equations and their applications.
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El-Sheikh, M.M.A. Lipschitz stability criteria for a generalized delayed Kolmogorov model. JAMC 10, 75–81 (2002). https://doi.org/10.1007/BF02936207
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DOI: https://doi.org/10.1007/BF02936207