A Proof On Arnold Chord Conjecture

Ju l 2 00 4 A Proof On Generalized Arnold ’ s Chord Conjecture On Cotangent Bundles ∗

In this article, we prove that there exists at least one chord which is characteristic of Reeb vector field connecting a given Legendre sub-manifold in a contact manifolds of induced type in the cotangent bundles of any smooth open manifolds which confirms the generalized Arnold conjecture in cotangent bundles.

A Proof on Arnold's Chord Conjecture on Cotangent Bundles *

In this article, we prove that there exists at least one chord which is characteristic of Reeb vector field connecting a given Legendre sub-manifold in a contact manifolds of induced type in the cotangent bundles of any smooth open manifolds which confirms the Arnold conjecture in cotangent bundles.

The Arnold Chord Conjecture

A Proof On Arnold-Chekanov Conjecture

In this article, we give a proof on the Arnold-Chekanov Lagrangian intersection conjecture on the cotangent bundles and its generalizations.

On the Closed-Form Solution of a Nonlinear Difference Equation and Another Proof to Sroysang’s Conjecture

The purpose of this paper is twofold. First we derive theoretically, using appropriate transformation on x(n), the closed-form solution of the nonlinear difference equation x(n+1) = 1/(±1 + x(n)), n ∈ N_0. The form of solution of this equation, however, was first obtained in [10] but through induction principle. Then, with the solution of the above equation at hand, we prove a case ...