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Nonlinear Analysis and its Applications to Differential Equations pp 281–288Cite as

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PBVPs for Ordinary Impulsive Differential Equations

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Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 43))

Abstract

Impulsive differential equations occur in many biological, physical and engineering applications (see [2 3 5]). In consequence, the study of such systems has gained prominence.

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References

  1. D. Franco and J.J. Nieto, A new maximum principle for impulsive first-order problemsInt. J. Theor. Phys.37 (1998), 1607–1616.

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  2. D. Franco, E. Liz, J.J. Nieto and Y. Rogovchenko, A contribution to the study of functional differential equations with impulses, preprint.

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  3. V. Lakshmikantham, D.D. Bainov and P.S. SimeonovTheory of Impulsive Differential EquationsWorld Scientific, Singapore, 1989.

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  4. J.J. Nieto, Basic theory for nonresonance impulsive periodic problems of first orderJ. Math. Anal. Appl.205 (1997), 423–433.

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  5. A.M. Samoilenko and N.A. PerestyukImpulsive Differential EquationsWorld Scientific, Singapore, 1995.

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  6. D.R. SmartFixed Points TheoremsCambridge University Press, Cambridge, U.K., 1980.

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Author information

Authors and Affiliations

  1. Departamento de Matemática Aplicada I, Universidad Nacional de Educación a Distancia, Madrid, Spain

    Daniel Franco

  2. Departamento de Análisis Matemático, Universidad de Santiago de Compostela, Spain

    Juan J. Nieto

Authors
  1. Daniel Franco
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  2. Juan J. Nieto
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Editor information

Editors and Affiliations

  1. CMAF, University of Lisbon, Lisbon, 1649-003, Portugal

    M. R. Grossinho , M. Ramos , C. Rebelo  & L. Sanchez , ,  & 

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© 2001 Springer Science+Business Media New York

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Franco, D., Nieto, J.J. (2001). PBVPs for Ordinary Impulsive Differential Equations. In: Grossinho, M.R., Ramos, M., Rebelo, C., Sanchez, L. (eds) Nonlinear Analysis and its Applications to Differential Equations. Progress in Nonlinear Differential Equations and Their Applications, vol 43. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0191-5_19

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  • DOI: https://doi.org/10.1007/978-1-4612-0191-5_19

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6654-9

  • Online ISBN: 978-1-4612-0191-5

  • eBook Packages: Springer Book Archive

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