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L p-Equivalence of impulsive equations

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Abstract

By means of a modification of Schauder's theorem, sufficient conditions for theL p -equivalence of impulsive nonlinear differential equations are found.

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References

  • Haščák, A. and Švec, M. (1982). Integral equivalence of two systems of differential equations,Czechoslovak Mathematics Journal, 423–436.

  • Hille, E., and Phillips, R. (1957).Functional Analysis and Semi-groups, American Mathematical Society.

  • Krasnosel'skii, M. A., and Zabreiko, P. P. (1984).Geometrical Methods of Nonlinear Analysis, Springer-Verlag, Berlin.

    Google Scholar 

  • Marlin, J. A., and Struble, R. A. (1969). Asymptotic equivalence of nonlinear systems,Journal of Differential Equations,6, 578–596.

    Google Scholar 

  • Mil'man, V. D., and Myshkis, A. D. (1960). On the stability of motion in the presence of impulses,Siberian Mathematics Journal,1, 223–237 (in Russian).

    Google Scholar 

  • Mil'man, V. D., and Myshkis, A. D. (1963).Random Pulses in Linear Dynamical Systems, pp. 64–81, Academy of Sciences of the UkSSR, Kiev (in Russian).

    Google Scholar 

  • Samoilenko, A. M., and Perestyuk, N. A. (1987).Differential Equations with Impulse Effect, p. 287, Viśća Škola, Kiev (in Russian).

    Google Scholar 

  • Simeonov, P. S., and Bainov, D. D. (1984). Asymptotic equivalence of ordinary and functional-differential equations,Mathematical Reports Toyama University,7, 19–40.

    Google Scholar 

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Bainov, D.D., Kostadinov, S.I. & Zabreiko, P.P. L p-Equivalence of impulsive equations. Int J Theor Phys 27, 1411–1424 (1988). https://doi.org/10.1007/BF00671319

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  • DOI: https://doi.org/10.1007/BF00671319

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