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Conditional invariant sets and functional differential equations

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References

  1. Bellman R.,Vector Lyapunov functions, J. Soc. Ind. Appl. Math. Ser. A1, 32–34 (1962).

    Article  Google Scholar 

  2. Deo S. G.,Dissertation submitted for Ph. D. Degree of Marathwada University, Aurangabad (MS).

  3. Driver R. D.,Existence and stability of solutions of a delay-differential system, Arch. Rat. Mech. Anal. 10, 401–426 (1962).

    Article  MATH  MathSciNet  Google Scholar 

  4. Hale J. K.,Asymptotic behaviour of the solutions of differential-difference equations, RIAS TR 61-10.

  5. Krasovskii N. N.,Some problems in the theory of stability of motion, Moscow 1959.

  6. Kayande A. A. and Lakshmikantham V.,Conditionally invariant sets and Lyapunov functions, J. Math. Anal. Appl. Vol. 14, No. 2, 285–293 (1966).

    Article  MATH  MathSciNet  Google Scholar 

  7. Lakshmikantham V.Lyapunov function and a basic inequality in delay-differential equations, Arch. Rat. Mech. Anal. 10, 305–310 (1962).

    Article  MATH  MathSciNet  Google Scholar 

  8. Lakshmikantham V.,Functional differential systems and extension of Lyapunov's method, J. Math. Anal. Appl. Vol. 8, No. 3, 392–405, (1964).

    Article  MATH  MathSciNet  Google Scholar 

  9. Lakshmikantham V.,Conditional stability and vector Lyapunov functions, J. Math. Anal. Appl. 10, 368–377 (1965).

    Article  MATH  MathSciNet  Google Scholar 

  10. Matrosov,On the theory of stability of motion, Prikl. Math. Mech. 26, 992–1002 (1962).

    MathSciNet  Google Scholar 

  11. Razumkhin B. S.,On the stability of systems with retardation, Prikl. Math. Mech. 20, 500–512 (1956).

    Google Scholar 

  12. Wazewskii T.,Systèmes des équations et des inégalités différentielles ordinaires aux deuxièmes membres monotones et leurs applications, Ann. Soc. Pol. Math. 23, 112–166, (1950).

    Google Scholar 

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  1. Kingston, U. S. A.

    V. Lakshmikantham & S. Leela

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  1. V. Lakshmikantham
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  2. S. Leela
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Lakshmikantham, V., Leela, S. Conditional invariant sets and functional differential equations. Rend. Circ. Mat. Palermo 15, 257–272 (1966). https://doi.org/10.1007/BF02844105

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