New bifurcation theorems via the second-order optimality conditions-Reference-Cited by-同舟云学术

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New bifurcation theorems via the second-order optimality conditions

Published:2009-11 Issue:2 Volume:359 Page:752-764
ISSN:0022-247X
Container-title:Journal of Mathematical Analysis and Applications
language:en
Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Arutyunov A.V.,Izmailov A.F.,Jaćimović V.

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference17 articles.

1. A Primer of Nonlinear Analysis;Ambrosetti,1993

2. Sur la theórie mathematiques des autooscillations;Andronov;C. R. Acad. Sci. Paris,1930

3. On the consistency of quadratic and bilinear systems;Arutyunov;Dokl. Math.,2005

4. Optimality Conditions: Abnormal and Degenerate Problems;Arutyunov,2000

5. Bifurcation theorems via second-order optimality conditions;Arutyunov;J. Math. Anal. Appl.,2001

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Directional Control of Bifurcation into Targeted Trajectory;International Journal of Bifurcation and Chaos;2015-10

2. Extended Hopf Bifurcation for Abstract Integral Equations at Resonant Eigenvalue;Journal of Dynamical and Control Systems;2014-06-18

3. Abstract Bifurcation Theorems and Applications to Dynamical Systems with Resonant Eigenvalues;Differential and Difference Equations with Applications;2013

4. Smooth abnormal problems in extremum theory and analysis;Russian Mathematical Surveys;2012-06-30

5. Abstract Hopf bifurcation theorem and further extensions via second variation;Nonlinear Analysis: Theory, Methods & Applications;2010-10

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