Global cusp maps in differential and integral equations

DOI10.1016/0362-546X(93)90134-EzbMath0794.58005OpenAlexW4247189848MaRDI QIDQ4202621

James G. Timourian, P. T. Church

Publication date: 30 August 1994

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(93)90134-e

zbMATH Keywords

cusp mapfold mapnonlinear boundary problems

Mathematics Subject Classification ID

Boundary value problems for nonlinear higher-order PDEs (35G30) Theory of singularities and catastrophe theory (58K99) Singular nonlinear integral equations (45G05) Differentiable maps on manifolds (58C25)

Related Items (7)

Local algebras of differential operators ⋮ The set of periodic scalar differential equations with cubic nonlinearities ⋮ The Structure of a Nonlinear Elliptic Operator ⋮ Oriented global fold maps in differential and integral equations ⋮ Stability and exact multiplicity of periodic solutions of Duffing equations with cubic nonlinearities ⋮ Exact multiplicity for periodic solutions of a first-order differential equation ⋮ Detection of high codimensional bifurcations in variational PDEs

Cites Work

• On singularities of mappings of Euclidean spaces. I. Mappings of the plane into the plane
• The topology of four-dimensional manifolds
• The singular set of a nonlinear elliptic operator
• Singularities of a simple elliptic operator
• Multiple solutions for some semilinear elliptic equations
• A nonlinear elliptic operator and its singular values
• Singularities and groups in bifurcation theory. Volume II
• A geometrical study of the elementary catastrophes
• On the inversion of some differentiable mappings with singularities between Banach spaces
• Obstructions to imposing differentiable structures
• Change of variables for absolutely continuous functions
• Natural Operations on Differential Forms
• Multiplicity of solutions of nonlinear boundary value problems with nonlinearities crossing several higher eigenvalues.
• Time Dependent Nonlinear Oscillations with Many Periodic Solutions
• An application of singularity theory to nonlinear differentiable mappings between Banach spaces
• Folds and Cusps in Banach Spaces with Applications to Nonlinear Partial Differential Equations. II
• Characterizing Hilbert space topology
• The Structure of the Solution Set for Periodic Oscillations in a Suspension Bridge Model
• Global fold maps in differential and integral equations
• A theory for imperfect bifurcation via singularity theory
• Examples of global normal forms for some simple nonlinear integral operators
• Elementary Differential Topology. (AM-54)
• Taming codimension three embeddings
• Equivalent Norms for Sobolev Spaces
• Cartesian Products with Intervals
• Locally flat imbeddings of topological manifolds
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Global cusp maps in differential and integral equations