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The Exact Number of Solutions for a Class of Ordinary Differential Equations Through Morse Index Computation

In: Djairo G. de Figueiredo - Selected Papers

Author

Listed:
  • D. G. Costa

    (Universidade de Brasilia, Departamento de Matemática)

  • D. G. De Figueiredo

    (IMECC-UNICAMP)

  • P. N. Srikanth

    (Indian Institute of Science Campus, Tata Institute of Fundamental Research)

Abstract

We consider a class of second order ordinary differential equations with jumping nonlinearities that cross the first k eigenvalues, under zero boundary conditions and, by means of a Morse Index computation, show the existence of exactly 2 k solutions.

Suggested Citation

  • D. G. Costa & D. G. De Figueiredo & P. N. Srikanth, 1992. "The Exact Number of Solutions for a Class of Ordinary Differential Equations Through Morse Index Computation," Springer Books, in: David G. Costa (ed.), Djairo G. de Figueiredo - Selected Papers, edition 127, pages 345-359, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-02856-9_23
    DOI: 10.1007/978-3-319-02856-9_23
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