Sentence examples for multiplicity of solutions from inspiring English sources

Existence and multiplicity of solutions of singular problem (1.1).

We study now the problem of multiplicity of solutions.

Now, we consider the multiplicity of solutions of (1.4).

Issues concerning multiplicity of solutions, algorithm convergence, and sensitivity to demand patterns are also discussed.

(3.2) A result on the existence and multiplicity of solutions is obtained in the following theorem.

Establishing some suitable conditions, we prove the existence and multiplicity of solutions.

We investigate the multiplicity of solutions for the Hamiltonian system with some asymptotically linear conditions.

Next, we consider the multiplicity of solutions for equation (1.1) with periodic boundary condition.

In order to prove the multiplicity of solutions, we will use the dual fountain theorem.

However, many papers focused on the existence and multiplicity of solutions for fractional BVPs.

We study the multiplicity of solutions for a class of Hamiltonian systems with the -Laplacian.