Sentence examples for problems as follows from inspiring English sources

We consider the problem of finding functions x : [ a, b ] → R n and y : [ a, b ] → R m, where ( x ˙ ( t ), y ˙ ( t ) ) is piecewise smooth on [ a, b ], to solve the following pair symmetric dual problems for nondifferentiable multiobjective fractional variational problems as follows.

At last, we propose two open problems as follows.

This utilization brings about several problems as follows: 1.

Our new test problems are generated by slightly modifying the DTLZ1-4 test problems as follows.

We will address each of the encountered usability problems as follows.

Ansari et al. [16] introduced two types of set-valued vector equilibrium problems as follows.

Finally, we define our problem as follows.

We define the decision problem as follows.

We model the MLBSDC problem as follows.

Mathematically, we formulate the problem as follows.

We first introduce a circuit layout problem as follows.