Bernstein approximations of nonlinear Sturm-Liouville problems

DOI10.1016/j.na.2009.11.040zbMath1200.34027OpenAlexW2052369751MaRDI QIDQ847350

Jacek Gulgowski

Publication date: 12 February 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.11.040

zbMATH Keywords

Sturm-Liouville problemglobal bifurcationBernstein polynomial

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Sturm-Liouville theory (34B24) Approximations and expansions (41A99)

Cites Work

• On some nonlinear Sturm-Liouville problems
• On eigenvalue problems for nondifferentiable mappings
• Bifurcation from zero or infinity in Sturm-Liouville problems which are not linearizable
• Branches of positive solutions for some semilinear Schrödinger equations
• Some global results for nonlinear eigenvalue problems
• Bifurcation of solutions of nonlinear Sturm-Liouville problems.
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