Indefinite Sturm-Liouville Problems

Part of the Operator Theory: Advances and Applications book series (OT, volume 182)


In this chapter we apply the main results of Chapter 5 to kinetic equations which upon separation of variables reduce to Sturm-Liouville eigenvalue problems with an indefinite weight function. First second-order Sturm-Liouville problems are discussed and then higher-order problems. Various illustrative examples are given.


Weight Function Scalar Product Selfadjoint Operator Spectral Theorem Krein Space 


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© Birkhäuser Verlag AG 2008

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