Applications of generic bifurcation. II
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Publication:1233617
DOI10.1007/BF00280015zbMath0346.47050MaRDI QIDQ1233617
Jack K. Hale, John Mallet-Paret, Shui-Nee Chow
Publication date: 1976
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Equations involving nonlinear operators (general) (47J05) Periodic solutions to PDEs (35B10) General topics in linear spectral theory for PDEs (35P05) Plates (74K20) Nonlinear elliptic equations (35J60) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65)
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Cites Work
- Unnamed Item
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- Perturbed bifurcation theory at multiple eigenvalues
- Nonlinear buckled states of rectangular plates
- Applications of generic bifurcation. I
- Multiple buckled states of rectangular plates
- Integral averaging and bifurcation
- Stability of unfoldings
- Loss of stability and bifurcation at a double eigenvalue
- The bifurcation of one or more closed orbits from an equilibrium point of an autonomous differential system
- On nonuniqueness of solutions of the von Kármán equations
- Some global results for nonlinear eigenvalue problems
- Bifurcation from simple eigenvalues
- Branching of solutions of nonlinear equations
- Global Structure of the Solutions of Non-Linear Real Analytic Eigenvalue Problems
- Branching Solutions of Equations Containing Several Parameters
- Von Kármán's equations and the buckling of a thin elastic plate, II plate with general edge conditions
- Banach Space Bifurcation Theory
- Bifurcation Theory in Real Banach Space
- Bifurcation Theory for Analytic Operators
- Perturbed bifurcation theory