Geodesic
On Fucik Spectra and Periodic Solutions
Matematičeskie zametki, Tome 73 (2003) no. 6, pp. 910-922

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In this paper, we continue extending the theory of boundary-value problems to ordinary differential equations and inclusions with discontinuous right-hand side. To this end, we construct a new version of the method of shifts along trajectories. We compare the results obtained by the new approach and those obtained by the method of Fucik spectra. 
@article{MZM_2003_73_6_a12,
     author = {V. V. Filippov},
     title = {On {Fucik} {Spectra} and {Periodic} {Solutions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {910--922},
     publisher = {mathdoc},
     volume = {73},
     number = {6},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2003_73_6_a12/}
}
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V. V. Filippov. On Fucik Spectra and Periodic Solutions. Matematičeskie zametki, Tome 73 (2003) no. 6, pp. 910-922. http://geodesic.mathdoc.fr/item/MZM_2003_73_6_a12/