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The Monotone Iterative Technique and Periodic Boundary Value Problem for First Order Impulsive Functional Differential Equations

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Abstract

This paper uses the method of upper and lower solutions and the monotone iterative technique to investigate the existence of maximal and minimal solutions of the periodic boundary value problem for first order impulsive functional differential equations.

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References

  1. Ladde G. S., Lakshmikantham V., Vatsala A. S., Monotone Iterative Techniques for Nonlinear Differential Equations, Pitman, London, 1985

  2. Ladde G. S., Sathanantham S., Periodic boundary value problem for impulsive integrodifferential equations of Volterra type, J. Math. Phy. Sci., 1991, 25:119–129

    MATH  MathSciNet  Google Scholar 

  3. Liu X. Z., Iterative methods for solutions of impulsive functional differential systems, Appl. Anal., 1992, 44:171–182

    MathSciNet  Google Scholar 

  4. Guo D. J., Lakshmikantham V., Liu X. Z., Nonlinear Integral Equations in Abstract Spaces, Kluwer Academic Publishers, Dordrecht, 1996

  5. Hristova G. S., Bainov D. D., Monotone iterative techniques of V. Lakshmikantham for a boundary value problem for systems of impulsive differential-difference equations, J. Math. Anal. Appl., 1996, 197:1–13

    Article  MATH  MathSciNet  Google Scholar 

  6. Hristova G. S., Bainov D. D., Application of the monotone iterative-techniques of Lakshmikantham V. for solving the initial value problem for impulsive differential-difference equations, J. Rocky. Mountain Math., 1993, 23:609–618

    MATH  MathSciNet  Google Scholar 

  7. Leela S., Oğuztöreli M N. Periodic boundary value problem for differential equations with delay and monotone iterative method, J. Math. Anal. Appl., 1987, 122:301–307

    Article  MATH  MathSciNet  Google Scholar 

  8. Liz E. Periodic boundary value problems for a calass of functional differential equations, J. Math. Anal. Appl., 1996, 200:680–686

    Article  MATH  MathSciNet  Google Scholar 

  9. Lakshmikantham V., BainovD. D., Simeonov P. S., Theory of Impulsive Differential Equations, World Scientific, Singapore, 1989

  10. Bainov D. D., Simenov P. S., Impulsive Differential Equations:Periodic Solutions and Applications, Longman: Harlow, 1993

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Correspondence to Zhi Min He.

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He, Z.M., Ge, W.G. The Monotone Iterative Technique and Periodic Boundary Value Problem for First Order Impulsive Functional Differential Equations. Acta Math Sinica 18, 253–262 (2002). https://doi.org/10.1007/s101140200155

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  • DOI: https://doi.org/10.1007/s101140200155

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