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Well-Posedness of the Cauchy Problem for Nonlinear Differential Equations with Variable Delays

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REFERENCES

  1. Gamkrelidze, R.V and Kharatishvili, G.L., Izv. Akad. Nauk SSSR. Ser. Mat., 1969, vol.33, no. 4, pp. 781–839.

    Google Scholar 

  2. Gamkrelidze, R.V., Osnovy optimal'nogo upravleniya(Foundations of Optimal Control Theory), Tbilisi, 1997.

  3. Kharatishvili, G.L., Machaidze, Z.A., Markozashvili, N.I., and Tadumadze, T.A., Abstraktnaya variatsionnaya teoriya i ee primeneniya k optimal'nym zadacham s zapazdyvaniyami(Abstract Variational Theory and Its Applications to Delay Optimal Problems), Tbilisi, 1973.

  4. Kharatishvili, G., Tadumadze, T., and Gorgodze, N., Memoirs on Differ. Equat. and Math. Physics, 2000, vol. 19, pp. 3–105.

    Google Scholar 

  5. Krasnosel'skii, M.A. and Krein, S.G., Uspekhi Mat. Nauk, 1955, vol. 10, no. 3, pp. 147–152.

    Google Scholar 

  6. Kurzweil, J. and Vorel, Z., Czechoslovak Math. J., 1957, vol. 7, no. 4, pp. 568–583.

    Google Scholar 

  7. Samoilenko, A.M., Ukr. Mat. Zh., 1962, vol. 14, no. 3, pp. 289–298.

    Google Scholar 

  8. Petrov, N.N., Vestn. LGU, 1964, vol. 7, pp. 29–36.

    Google Scholar 

  9. Myshkis, A.D., Lineinye differentsial'nye uravneniya s zapazdyvayushchim argumentom(Linear Differential Equations with Retarded Argument), Moscow, 1972.

  10. Schwartz, L., Analyse mathffematique, vol. I, Paris: Hermann, 1967. Translated under the title Analiz, Moscow, 1972, vol. 1.

    Google Scholar 

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Kharatishvili, G.L., Tadumadze, T.A. Well-Posedness of the Cauchy Problem for Nonlinear Differential Equations with Variable Delays. Differential Equations 40, 360–369 (2004). https://doi.org/10.1023/B:DIEQ.0000035774.29859.22

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  • DOI: https://doi.org/10.1023/B:DIEQ.0000035774.29859.22

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