Abstract
We present conditions for the existence and uniqueness of solutions of functional differential equations of the neutral type and their continuous dependence on the initial data.
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REFERENCES
J. Hale, Theory of Functional Differential Equations, Springer, New York (1977).
S. V. Pavlikov and D. Kh. Khusanov, Method of Lyapunov Functionals in the Investigation of Stability of Functional Differential Equations of Neutral Type [in Russian], Dep. in VINITI NB-96-881, Moscow (1996).
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Khusanov, D.K. On the Unique Solvability of a Nonautonomous Functional Differential Equation of Neutral Type. Ukrainian Mathematical Journal 53, 1375–1381 (2001). https://doi.org/10.1023/A:1013359929621
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DOI: https://doi.org/10.1023/A:1013359929621