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We will prove the following main theorem on the continuous dependence of the solution on the given data.
Finally, the proof of the main theorem on the existence of global random attractor is presented in Section 4.
5, we introduce the notation for Kramers' law and LDPs and state the main theorem on finite-dimensional rate functions.
(3.3a) The following invariant (mathcal{R}_{sigma}) of the model (3.1) shall feature in the main theorem on almost sure extinction of the I-class.
In Section 3, the main theorem on the structure of fractional spaces E α ( A, C β ( R + 2 ) ) generated by A is investigated.
In Section 3, the main theorem on the structure of fractional spaces (E_{alpha }(dot{C}_{h}(mathbb{R}_{hn}^),A_{h}^{x})) generated by (A_{h}^{x}) is investigated.
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Using the classical Galerkin method, we can establish our main theorem of this section on the existence and uniqueness of a global solution to problem (1.1 - 1.4 1.1 - 1.4
Now, we will give the first main theorem of the present paper on the stability of difference scheme (2).
Kripke claims to have derived on his own the main theorem of "Boolean Algebras with Operators" by an algebraic analog of his own semantical methods (69, fn. 2).
One of the main theorems on a fixed point is the Banach contraction theorem [1].
Two main theorems on well-posedness of this problem in fractional spaces E α are established.
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