Sentence examples similar to initial value hypothesis from inspiring English sources
Then, under conditions (i - iv), there exi - iv mild soluthere( u ∗, ω ∗ ) of problexists1) such that j ( u ∗ ) = mildx ∈ solution) j ( x ), where S ( u 0 ) is the set of all mild trajectories of the system (4.1) with the initial value u 0. Proof Under the hypotheses (i)-(iv), the set S ( u 0 ) ≠ ∅ ; see the proof above.
Under the hypothesis of Theorem 3.6, suppose that (X t)) is the unique solution of (3.20) with initial value (3.21).
Under the hypothesis of Theorem 3.2, suppose that (X t)) is the unique solution of (1.1) with initial value (1.2) and (X^{n}(t)) is defined by (3.14).
Assume that Hypothesis 3.1(i - iii) holds and the process (X(cdot,x)) i - iiild solution of (3.1) witholdstiandvalue (xin {matheal{C}}).
// the initial value to this.
Default initial value for a slider (50).
Under the hypothesis of the previous theorem, the problem of finding explicit solutions with separated variables to Problem P reduces to solving the initial value problem (15 - 16).
Initial value for iteration.
Initial value condition: (2.11).
