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Sturm-Liouville’s problem with discontinuous nonlinearity

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Abstract

We establish a theorem on the existence of solutions of the Sturm-Liouville problem with nonlinearity discontinuous in the phase variable. By way of application, we consider a one-dimensional analog of the Gol’dshtik model of separated flows of an incompressible fluid.

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Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, Russia

    D. K. Potapov

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  1. D. K. Potapov
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Correspondence to D. K. Potapov.

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Original Russian Text © D.K. Potapov, 2014, published in Differentsial’nye Uravneniya, 2014, Vol. 50, No. 9, pp. 1284–1286.

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Potapov, D.K. Sturm-Liouville’s problem with discontinuous nonlinearity. Diff Equat 50, 1272–1274 (2014). https://doi.org/10.1134/S0012266114090158

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  • DOI: https://doi.org/10.1134/S0012266114090158

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