Sentence examples for boundary value problem provides from inspiring English sources

The numerical solution of this two-point boundary value problem provides the time profile of the manipulated input which has to be implemented in an open-loop fashion.

end{aligned} (54 Then, the existence of a lower solution for the periodic boundary value problem (53) provides a unique solution for (53).

It is shown that this implicit homogenization problem can be iteratively solved with quadratic convergences by successively updating strain increment fields in unit cells, and that the boundary value problem formulated provides a computational algorithm which is versatile for initial setting of strain increment fields.

It is imperative to note that our results are absolutely new in the context of Hadamard-type integral boundary value problems and provide a new avenue to the researchers working on fractional boundary value problems.

Our main result states that the system of root functions of a boundary value problem is complete and minimal provided that the boundary conditions are weakly regular.

Moreover, the current approach can be used irrespectively from the type of the boundary value problem (linear or non-linear) provided that the problem is solvable by the numerical method such as the FEM.

Continuation of a steady state, periodic solution or solution of a general boundary value problem with respect to a parameter provides a solution diagram; simultaneous stability analysis identifies bifurcation points and these may be continued with respect to a second parameter to obtain a bifurcation diagram.

Then the boundary value problem (1.1) has a unique solution provided (31).

Then the boundary value problem (1.1) has a unique solution provided L < 1/G1, where G1 is given by (2.8).

Then the boundary value problem (1.1) has a unique solution, provided Λ = L Λ 1 < 1, where Λ1is given by (2.9).

Assume that is a jointly continuous function and satisfies the assumption Then the boundary value problem (1.1) has a unique solution provided, where is given in the assumption.