Stability results and separations theorems

Convergence Theorems and Stability Results for Lipschitz Strongly Pseudocontractive Operators

Restoration of horizontal stability in complete acromioclavicular joint separations: surgical technique and preliminary results

BACKGROUND Our purpose was to investigate the clinical efficacy of arthroscope-assisted acromioclavicular ligament reconstruction in combination with double endobutton coracoclavicular ligament reconstruction for the treatment of complete acromioclavicular joint dislocation. METHODS During the period from February 2010 to October 2012, ten patients with Rockwood types IV and V acromioclavicul...

Stability theorems for cancellative hypergraphs

A cancellative hypergraph has no three edges A;B;C with ADBCC: We give a new short proof of an old result of Bollobás, which states that the maximum size of a cancellative triple system is achieved by the balanced complete tripartite 3-graph. One of the two forbidden subhypergraphs in a cancellative 3-graph is F5 1⁄4 fabc; abd; cdeg: For nX33 we show that the maximum number of triples on n vert...

Stability Theorems for Symplectic and Contact Pairs

We prove Gray–Moser stability theorems for complementary pairs of forms of constant class defining symplectic pairs, contact-symplectic pairs and contact pairs. We also consider the case of contact-symplectic and contact-contact structures, in which the constant class condition on a oneform is replaced by the condition that its kernel hyperplane distribution have constant class in the sense of ...

Stability Theorems and Hyperbolicity in Dynamical Systems

We present an approach to proving structural stability and semi-stability theorems for diffeomorphisms and flows using the idea of shadowing an e-chain. We treat the cases when the whole manifold is hyperbolic and when the chain recurrent set is hyperbolic and the strong transversality condition is satisfied. The last two sections discuss the progress made on the converse to the structural stab...