By invariant subspace method, classification of the generalized fourth-order nonlinear differential equation arising from the liquid filmsis described,where F[u] admits the invariant subspace W_n defined by some n-th linear ordinary differential equation with constant coefficientsThe subspaces W_n are on the polynomial, trigonometric, exponential or mixed form.

Methods Using the invariant subspace method.

The existence for invariant subspaces of general JC~*-algebra onΠ_1 spaces is studied,and the sufficient conditions of the existence of invariant subspaces for different JC~*-algebra onΠ_1 spaces are obtained.

In Chapter Two,under the framework of analytic Hilbert modules,we consider the classification of translation invariant subspaces of the Fock type spaces up to unitary equivalence.

In this paper,we mainly discuss the property of invariant subspaces of the weighted Hardy spaces H2(βn).

Direct decomposition of invariant subspace and its application;

Similarity—invariant subspaces and similarity—preserving linear maps on C_p;

Domination Property and Invariant Subspaces for AM-compact and Dunford-Pettis Operator;

Time-varying system identification using recursive subspace method based on free response data;

Detecting network-wide traffic anomalies based on subspace method;

A novel recursive subspace method is presented for pseudo-modal parameter identification of time-varying structures based on projection approximation subspace tracking algorithm.