Again, assuming that (4.17) holds, the boundary value problem (4.29) has the -parametric family of solutions (4.36).
Although that definition generally still holds, the boundaries have changed somewhat, says Lois J. Zachary, president of Leadership Development Services in Phoenix and author of "The Mentee's Guide: Making Mentoring Work for You".
Since the conservation of total mass holds, the boundaries x = a ( t ) and x = b ( t ) are transformed into ξ = 0 and ξ = 1, respectively, and the domain [ a ( t ), b ( t ) ] is transformed into [ 0, 1 ].
Some of the best work we did on the weekend was to find a way to hold to the boundary and still find a positive way to complete the work.
If (3.7) holds, then the boundary value problem (1.1 - 1.2 1.1 - 1.2east one solution on [ 0, 1 ].
If (H1) holds, then the boundary equilibrium (E_{0}) and (E_{1}) are both unstable.
Remark 3.1 Theorems 3.1 and 3.2 also hold for the boundary value problem (1.1).
Therefore we may conclude that if (3.4) holds, then the boundary value problem (3.1 - 3.3 3.1 - 3.3ique solution.
If the following conditions ((A_{1}))-((A_{3})) hold, then the boundary value problem (1.1) has a unique solution pair ((u^(t),v ^(t))).
Very much the same result holds when the boundary of D is of class C 1 + ϵ, with ϵ > 0, (proved either by approximating to the result when D is the unit disc, or adapting one of the several methods of proof used in the classical case).
