Morin singularities and global geometry in a class of ordinary differential operators

DOI10.12775/TMNA.1997.026zbMath0978.34074WikidataQ115239581 ScholiaQ115239581MaRDI QIDQ1386870

Carlos Tomei, Nicolau C. Saldanha, I. P. Malta

Publication date: 4 February 2002

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

zbMATH Keywords

ordinary differential operatorsLyapunov-Schmidt decompositionglobal geometryperiodic functionsMorin singularities

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear ordinary differential operators (34L30) Applications of functional analysis to differential and integral equations (46N20)

Related Items (10)

Local algebras of differential operators ⋮ Results of Ambrosetti-Prodi type for non-selfadjoint elliptic operators ⋮ Existence of closed solutions for a polynomial first order differential equation ⋮ Numerical analysis of semilinear elliptic equations with finite spectral interaction ⋮ Uniformly attracting solutions of nonautonomous differential equations ⋮ Positive eigenvectors and simple nonlinear maps ⋮ Fibers and global geometry of functions ⋮ Remarks about the geometry of the Ambrosetti-Prodi problem ⋮ The geometry of the critical set of nonlinear periodic Sturm-Liouville operators ⋮ Results on infinite-dimensional topology and applications to the structure of the critical set of nonlinear Sturm--Liouville operators

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