Sentence examples for sequences of solutions from inspiring English sources

The following result deals with the sequences of solutions of problem (1.12), (1.2).

Then in Section 3 we construct the monotone sequences of solutions and prove their uniform convergence to the solutions of the systems.

As to the proof of Theorem 1.5, Although most difficult, the lack of compactness imbedding of (D^{s,p}(mathbb {R}^{N})) into (L^{p_{s}^(mathbb {R}^{N})) has been solved, we cannot draw the conclusion that the two sequences of solutions of (1.1) converge to some functions which are nontrivial solutions of (1.5).

When we analyzed the sequences of solutions, participants focused their search primarily on the sub-optimal parts of the current better solution leaving intact what was already good.

In particular, the way human problem-solving techniques schedule modifications through sequences of solutions may provide good evidence for their structural exploitation even if the structures are unknown.

Then a sequence of solutions converging to zero is obtained.

Consider the sequence of solutions of problems (5.21),,.

Any algorithm can generate only an approximating sequence of solutions.

So we can get an unbounded sequence of solutions of (1.1), and the solutions are radial.

This method gives an approximate sequence of solutions converging to a global solution of the problem.

The generalized solution of problem (1.2 - 1.3) can be approximated by a sequence of solutions of problems with initial condition (2.1 - 2.3 2.1 - 2.3