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Zbl 0557.47032
Drábek, Pavel
Remarks on nonlinear noncoercive problems with jumping nonlinearities. (English)
[J] Commentat. Math. Univ. Carol. 25, 373-399 (1984). ISSN 0010-2628

This paper deals with equations of the type $$ (1)\quad J(x)-\mu S(x\sp+)+\nu S(x\sp-)+G(x)=f, $$ which were studied in the principal Fučík's works; the survey of the results in this direction up to 1980 is given in the book of {\it S. Fučík}: "Solvability of nonlinear equations and boundary value problems" (1980; Zbl 0453.47035). Our aim was to give a short survey of the results in this field which have been published during the last five years and which are not contained in Fučík's book mentioned above. We formulate also some open problems the solutions of which could lead to a better understanding of the equations of the type (1).

MSC 2000:: *47J10 Nonlinear eigenvalue problems
34B15 Nonlinear boundary value problems of ODE
34L99 Ordinary differential operators
34C10 Qualitative theory of oscillations of ODE: Zeros, etc.

Keywords: spectral theory of nonlinear operators; boundary value problems for; ordinary differential operators; open problems

Citations: Zbl 0453.47035

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