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On perturbing lyapunov functions

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Abstract

A new idea of perturbing Lyapunov functions is presented which permits one to discuss nonuniform properties of solutions of differential equations under weaker assumptions

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References

  1. Corduneanu, C., The application of differential inequalities to the theory of stability, Am. Sti. Univ.“Al·I·Cuza“ Iasi,6 (1960), 47–58; 7 (1961), 247–252.

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  2. Lakshmikantham, V. andLeela, S.,Differential and integral inequalities, Vol. I (1969), Academic Press, New York.

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  3. Yoshizawa, T., Liapunov function and boundedness of solutions,Funkcial. Ekvac 2 (1959), 95–142.

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Authors and Affiliations

  1. University of Texas at Arlington, Arlington, Texas, USA

    V. Lakshmikantham

  2. State University of New York College at Geneseo, Geneseo, New York, USA

    S. Leela

Authors
  1. V. Lakshmikantham
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  2. S. Leela
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Lakshmikantham, V., Leela, S. On perturbing lyapunov functions. Math. Systems Theory 10, 85–90 (1976). https://doi.org/10.1007/BF01683265

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  • DOI: https://doi.org/10.1007/BF01683265

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