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Asymptotic behaviour and oscillations of solutions of nonlinear parabolic differential — functional equations

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Abstract

The asymptotic behaviour of the solutions of initial-boundary value problem for a class of nonlinear parabolic differential — functional equations is studied via the method of differential inequalities in order to obtain oscillation criterion for the solutions.

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References

  1. K. Kobayashi and N. Yoshida,Oscillations of solutions of initial value problems for parabolic equations, Math. Journ. Toyama Univ.,23 (2000), 149–155.

    MathSciNet  MATH  Google Scholar 

  2. T. Kusano and N. Yoshida,Oscillation criteria for a class of functional parabolic equations, Journ. Appl. Anal.,5 (1999), 1–16.

    Article  MathSciNet  MATH  Google Scholar 

  3. V. Lakshmikantham and S. Leela,Differential and Integral Inequalities, Theory and Applications, Vols. 1 and 2, Academic Press, New York, 1969.

    MATH  Google Scholar 

  4. W. N. Li and B. T. Cui,Oscillation of solutions of neutral partial functional-differential equations, Journ. Math. Anal. Appl.,234 (1999), 123–146.

    Article  MathSciNet  MATH  Google Scholar 

  5. J. Szarski,Differential Inequalities, Polish Scientific Publishers, Warsaw, 1965.

    MATH  Google Scholar 

  6. H. Uesaka,Oscillation of solutions of nonlinear wave equations, Proc. Japan Acad. Ser.A Math. Sci.,72 (1996), 148–151.

    Article  MathSciNet  MATH  Google Scholar 

  7. W. Walter,Differential, and Integral Inequalities, Springer-Verlag, New York — Berlin, 1970.

    Book  Google Scholar 

  8. P. Wang and Ch. Feng,Oscillation of parabolic equations of neutral type, Journ. Comp. Appl. Math.,126 (2000), 111–120.

    Article  MathSciNet  MATH  Google Scholar 

  9. N. Yoshida,Forced oscillations of a class of parabolic equations with functional arguments, Math. Journ. Toyama Univ.,22 (1999), 187–204.

    MathSciNet  MATH  Google Scholar 

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Minchev, E., Yoshida, N. Asymptotic behaviour and oscillations of solutions of nonlinear parabolic differential — functional equations. Korean J. Comput. & Appl. Math. 9, 465–473 (2002). https://doi.org/10.1007/BF03021554

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  • DOI: https://doi.org/10.1007/BF03021554

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