Bifurcation theorems via second-order optimality conditions
From MaRDI portal
Publication:5953087
DOI10.1006/jmaa.2000.7558zbMath1001.34031OpenAlexW2016022278MaRDI QIDQ5953087
Alexey F. Izmailov, Aram V. Arutyunov
Publication date: 10 December 2002
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.2000.7558
Bifurcation theory for ordinary differential equations (34C23) Extreme-point and pivoting methods (90C49) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)
Related Items (2)
New bifurcation theorems via the second-order optimality conditions ⋮ Tangent vectors to a zero set at abnormal points.
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Theorems on estimates in the neighborhood of a singular point of a mapping
- Multiparameter local bifurcation based on the linear part
- Applications of the blowing-up construction and algebraic geometry to bifurcation problems
- On the local structure of the zero-set of a Banach space valued mapping
- The Hopf bifurcation theorem in infinite dimensions
- The implicit function theorem and abnormal points.
- Bifurcation theorems via the 2-regularity theory
- The structure of the zero sets of nonlinear mappings near generic multiparameter eigenvalues
- Loss of stability and bifurcation at a double eigenvalue
- Bifurcation from simple eigenvalues
- THE LEVEL SET OF A SMOOTH MAPPING IN A NEIGHBORHOOD OF A SINGULAR POINT, AND ZEROS OF A QUADRATIC MAPPING
- Necessary and sufficient conditions for optimality of p-th order
- Extremum conditions for smooth problems with equality-type constraints
- Second-order conditions in extremal problems. The abnormal points
- Abnormal extremal problems and optimality conditions
- To the theory of extremum for abnormal problems
This page was built for publication: Bifurcation theorems via second-order optimality conditions