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

D. G. Costa, D. G. De Figueiredo and P. N. Srikanth
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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

A chapter in Djairo G. de Figueiredo - Selected Papers, 1992, pp 345-359 from Springer

Abstract: 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.

Date: 1992
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DOI: 10.1007/978-3-319-02856-9_23

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