Bifurcation Analysis of Nonlinear Turning Point Problems

Bifurcation Analysis of Nonlinear Turning Point Problems

A bifurcation analysis is carried out on a class of nonlinear two-point boundary value problems for which the associated linearized equations have turning point structure. A perturbation method is used to study the behavior of solutions branching from large eigenvalues. The results are compared with...

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Veröffentlicht in:SIAM journal on applied mathematics 1985-04, Vol.45 (2), p.175-199
Hauptverfasser: Lange, Charles G., Kriegsmann, Gregory A.
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Approximation
Asymptotic value
Boundary conditions
Boundary value problems
Eigenfunctions
Eigenvalues
Exact sciences and technology
Function theory, analysis
Integers
Mathematical methods in physics
Nonlinearity
Perturbation methods
Physics
Sine function
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Zusammenfassung:A bifurcation analysis is carried out on a class of nonlinear two-point boundary value problems for which the associated linearized equations have turning point structure. A perturbation method is used to study the behavior of solutions branching from large eigenvalues. The results are compared with those previously obtained for problems without turning points.
ISSN:0036-1399
1095-712X
DOI:10.1137/0145010