Geodesic
A topological version of the Ambrosetti-Prodi theorem
Annales Polonici Mathematici, Volume 64 (1996) no. 2, pp. 121-130

See the original article notice from the Institute of Mathematics Polish Academy of Sciences source

The existence of at least two solutions for nonlinear equations close to semilinear equations at resonance is obtained by the degree theory methods. The same equations have no solutions if one slightly changes the right-hand side. The abstract result is applied to boundary value problems with specific nonlinearities.
DOI: 10.4064/ap-64-2-121-130
Keywords: multiple solution, resonance, functional-differential equation 
Bogdan Przeradzki. A topological version of the Ambrosetti-Prodi theorem. Annales Polonici Mathematici, Volume 64 (1996) no. 2, pp. 121-130. doi: 10.4064/ap-64-2-121-130
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