Sentence examples for boundary value problems the from inspiring English sources
Topics for ordinary differential equations may include initial-value and two-point boundary value problems, the basic existence and uniqueness theorems, continuous dependence on data, stability of fix-points, numerical methods, special functions.
As a prelude to analyzing instability issues in boundary value problems, the local second-order work criterion must be generalized into the global setting to address a structural problem.
For solution of the corresponding boundary value problems the 3D FEM is utilized and numerical results on the critical forces and on the influence of the problem parameters on these forces are presented and discussed.
By expanding variables at a discretized time interval, a non-linear coupled space/time domain problem with initial and boundary values can be converted into a series of recursive linear boundary value problems, the variations of variables can be described more precisely via a self-adaptive computing procedure, and the non-linear iteration can be avoided.
For boundary value problems, the Gauss-Lobatto points are commonly used.
We will call the canonical basis for these boundary value problems the basic solutions Y ( 1 ) and Y ( 2 ).
As compared with the conventional four-line boundary value problem, the six-line boundary value problem is quite hard to be dealt with.
To solve the formulated boundary value problem, the technique of Hankel's integral transformation is used.
Most of the study of the symmetric positive solution is limited to the Dirichlet boundary value problem, the Sturm-Liouville boundary value problem and the Neumann boundary value problem.
Problem (1 - 3) covers many different problems for difference equations with delays and maxima such as the initial value problem, the periodic boundary value problem, the linear boundary value problem.
