Sentence examples for conditions are established from inspiring English sources

Necessary identifiability conditions are established.

Some completely new sufficient conditions are established.

The constraint conditions are established for multi-optimizations.

Sufficient optimality conditions are established for LU optimal solution concept under generalized ( p, r ) − ρ − -invexity.

Some sufficient conditions are established for stochastic persistence and stochastic extinction of species.

In Section 3, sufficient conditions are established for the global exponential stability of (1.1).

Solvability conditions for boundary value problems with weighted initial conditions are established in [23 33].

Some sufficient conditions are established to guarantee the uniqueness of the equilibrium point.

Sufficient conditions are established guaranteeing the existence of a positive ω-periodic solution to the equation.

Graph-theoretic conditions are established under which the proposed methodology provides a distributed solution.

The controllability conditions are established based on the Lyapunov function method.