Sturm-Liouville’s problem with discontinuous nonlinearity

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.

Saved in:
Bibliographic Details
Published in:Differential equations 2014-09, Vol.50 (9), p.1272-1274
Main Author: Potapov, D. K.
Format: Article
Language:English
Subjects:
Boundary value problems
Difference and Functional Equations
Differential equations
Eigenvalues
Mathematical models
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Short Communications
Studies
Theorems
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266114090158