Sentence examples for assume assumptions from inspiring English sources

Theorem 3.2 Let E be a Banach space, and assume assumptions (H1), (H2), (H3), (H4) are satisfied.

If (3.9) holds, then the problem (1.1) has at least one solution on J. Theorem 3.3 Let E be a Banach space, and assume assumptions (H1), (H2), (H3)′, (H4), (H5) are satisfied.

Theorem 3.1 Assume assumptions (H1 - H6) are satisfied.

Assume Assumption Q and that.

Theorem 3.2 Let K ⊂ X be a nonempty and convex closed bounded set and assume Assumption 3.1 holds.

[3] Assume Assumption Q and that.

Assume that assumptions (H1) and (H3) hold, let (m_{0}) and (m_{1}) be positive constants determined in assumption (H1).

Assume that assumptions hold.

Assume the assumptions (2.1 - 2.4 2.1 - 2.4

Assume that Assumptions 2.1 2.3 hold.

Assume the assumptions of Theorem  3.6 hold.