Geodesic
Indefinite Sturm Theory
Funkcionalʹnyj analiz i ego priloženiâ, Tome 43 (2009) no. 4, pp. 91-96

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The symplectic versions of the Sturm oscillation and comparison theorem describe some properties of the Maslov index and were proved by developing a suitable intersection theory in the Lagrangian Grassmannian setting. What we propose here is a Sturm oscillation and comparison theorem for indefinite systems, obtained by defining a new index by means of the Brouwer degree of a determinant map associated with a suspension of a complexified family of boundary value problems.
Keywords: Hermitian form, spectral flow, Brouwer degree. 
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     author = {A. Portaluri},
     title = {Indefinite {Sturm} {Theory}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {91--96},
     publisher = {mathdoc},
     volume = {43},
     number = {4},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2009_43_4_a7/}
}
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A. Portaluri. Indefinite Sturm Theory. Funkcionalʹnyj analiz i ego priloženiâ, Tome 43 (2009) no. 4, pp. 91-96. http://geodesic.mathdoc.fr/item/FAA_2009_43_4_a7/