Exact number of local extreme points of curvature function of solutions of second-order linear differential equations

DOI10.1007/s12190-012-0541-4zbMath1296.34063OpenAlexW2093626570MaRDI QIDQ2511084

Mervan Pašić, Houssam Chrayteh

Publication date: 5 August 2014

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-012-0541-4

zbMATH Keywords

linear differential equationsextreme pointscurvaturegeometry of solutions

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Curves in Euclidean and related spaces (53A04) Linear boundary value problems for ordinary differential equations (34B05)

Cites Work

• Rectifiable oscillations of self-adjoint and damped linear differential equations of second-order
• On using curvature to demonstrate stability
• Curvature and the evolution of fronts
• On the evolution of curves via a function of curvature. I: The classical case
• Geometric curve evolution and image processing
• Minkowski-Bouligand dimension of solutions of the one-dimensional \(p\)-Laplacian.
• Spectral properties and nodal solutions for second-order, \(m\)-point boundary value problems
• Extreme Curvature of Polynomials
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