Sentence examples for existence solution from inspiring English sources

The Sliding Mode Regulation Problem is formulated, and the existence solution conditions are derived.

On the existence solution of ( F, e ) in E 0 ( R ), we establish the following result.

Indeed, we prove the local existence solution for the problem (1.1) by Picard's iteration method.

On the existence solution of ( G, e, q ) in E 0 ( R ), we establish the following result.

All conditions imposed in Theorem 2.1 on the mapping (S_{h(x)}) are quintessential to prove the main theorem, more precisely for the existence solution of (S_{h(x)}x=0), and to ensure the strong convergence of the generalized modified Krasnoselski iterative algorithm.

The summation of ( D_{i} )s for each individual indicates the distance between the existence solution and the optimal solution, through which everyone would like to maximize their profit according to the other generators' strategies: F_{j}^{text{abs}} = D_{j} = mathop sum limits_{{i = 1 N_{text{Genco}} }} D_{i}.

We prove an existence result for solutions of (4.1).

Then we prove the global existence of solution (Section 3).

The existence of solution to BVP (2) is as follows.

This completes the proof of existence of solution.

This shows the existence of solution for (1.1).