Sentence examples for many real eigenvalues from inspiring English sources

Though problem is not symmetric, always contains infinitely many real eigenvalues, as stated in Theorem 1.2.

Review that a regular Sturm-Liouville system has an infinitely many real eigenvalues (lambda_{0}

By Theorem 3.1, the coupled boundary value problems (1.1) and (1.2) have infinitely many real eigenvalues and they satisfy the inequality (3.1).

To obtain the existence of infinitely many real eigenvalues as in Theorem 1.2, some properties of almost periodic functions [14, 15] will be used.

Secondly, owing to Theorem VI.8 of [27] and the compactness of the inverse integral operator the spectrum might contain either infinitely many isolated real eigenvalues or a finite number of isolated eigenvalues, formed by a monotone sequence of eigenvalues 0 < lambda_{1}leqlambda_{2}leqcdotsleq lambda_{beta}leq cdots.

M-eigenvalues of fourth-order partially symmetric tensors play an important role in many real fields such as quantum entanglement and nonlinear elastic materials analysis.

In contrast to many previous techniques which merely afford one specific eigenvalue of a matrix, the method has the potential to provide all real eigenvalues.

Then contains only real eigenvalues.

Both complex and real eigenvalues are considered.

Equation (4.37) corresponds to the Dirichlet eigenvalue problem (1.1)–(1.4), which has only real eigenvalues.

In applications of eigenvalues to nonlinear problems, the smallest (real) eigenvalues are of great importance.