Two point boundary value problems for the Sturm-Liouville equation with highly discontinuous nonlinearities

DOI10.11650/TWJM/1500406032zbMath1237.34026OpenAlexW4256102136MaRDI QIDQ543047

Stefania Maria Buccellato, Gabriele Bonanno

Publication date: 21 June 2011

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/twjm/1500406032

zbMATH Keywords

variational methodscritical pointsSturm-Liouville problemmultiple solutionsdiscontinuous nonlinearities

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Sturm-Liouville theory (34B24) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Discontinuous ordinary differential equations (34A36) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (6)

Positive solutions for discontinuous problems with applications to \(\phi \)-Laplacian equations ⋮ A unified variational approach to discontinuous differential equations ⋮ Approximation to the Sturm-Liouville problem with a discontinuous nonlinearity ⋮ Sturm-Liouville's problem with discontinuous nonlinearity ⋮ Positive solutions of a discontinuous one-dimensional beam equation ⋮ Existence of solutions, estimates for the differential operator, and a ``separating set in a boundary value problem for a second-order differential equation with a discontinuous nonlinearity

This page was built for publication: Two point boundary value problems for the Sturm-Liouville equation with highly discontinuous nonlinearities