Sentence examples for exists a resolvent of from inspiring English sources

(b there exists a resolvent of the operator and (7.6).

holds for the solution of problem (6.1), (b)for and for sufficiently large, there exists a resolvent and (6.10).

There exists a resolvent operator (R t,s)) for equation (5.1).

(a) There exists a resolvent operator (R t, s)) for problem (5.7 - 5.8 5.7 - 5.8

As a consequence, there exists a resolvent operator (R cdot)) defined on Δ.

There exists a resolvent operator (R t, s)) for problem (5.7 - 5.8 5.7 - 5.8

From Result 2, there exists a resolvent operator which is bounded from to.

Under the above conditions, the following properties are fulfilled: (a) There exists a resolvent operator (R t,s)) for equation (5.1).

(12) Then, for sufficiently large positive δ and (operatorname {Re}lambda geq 0), there exists a unique solution of the resolvent equation A_{h}^{x}u^{h} ( x ) +lambda u^{h} ( x ) =f^{h} ( x ), quad xin mathbb{R}_{hn}^ (13) and the following formula: f^{h} ( y ) h^{n} bigl( A_{h}^{x}+lambda I bigr) ^{-1}f^{h} ( x ) =sum_{yin mathbb{R}_{hn}^G_{h} ( x,y lambda ) (14) holds.

Set S = ( 2 I − T ) − 1 (i.e., S is a resolvent of the monotone operator I − T ).

Then there exists a unique α-resolvent operator for problem (2.1 - 2.2 2.1 - 2.2