Then, using this principle, we establish the weak and strong convergence theorems.
Based on our extended demiclosedness principle, we establish a strong theorem for asymptotical pseudo-contractions in Banach spaces.
By the stochastic maximum principle and Ekeland's variational principle, we establish necessary conditions for a control to be near-optimal.
In Section 3 and Section 4, basing on the Leray-Schauder principle, we establish some existence theorems on anti-periodic solutions with symmetry of (1.3), (1.4) and (1.5).
By employing upper and lower solutions method together with maximal principle, we establish a necessary and sufficient condition for the existence of pseudo- as well as positive solutions for fourth-order singular -Laplacian differential equations with integral boundary conditions.
For very general preferences of the insurer and that all reinsurers use a distortion premium principle, we establish the existence of a representative reinsurer and this in turn facilitates solving the optimal reinsurance problem with multiple reinsurers.
Direct measurement of free radical formation in single microvessels proved not to be possible, but as a proof of principle we established that IL-1β treatment enhances free radical generation in small pieces of fresh rat brain tissue (Fig. 3D).
So if it ever turned out that different groups of people employed qualitatively different sets of inferential principles, we could establish the epistemically preferable one by showing that it does a better job of conforming to our concept of justification.
The London summit must now enable us to go further, and to put into practice the principles which we established in Washington.
"The principles we have established are that anything we say must be based on fact, and anything I say must be informed by what children and young people themselves have to say, so we are developing our positions on a whole range of issues".
