Sentence examples for boundary value problems utilizing from inspiring English sources
Finally, two different boundary value problems utilizing the one-way shape-memory effect are studied: (a) the deformation of an arterial stent, and (b) a micro-clamper.
They proved the existence of positive solutions for boundary value problems by utilizing a fixed-point theorem in cones.
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.
We prove the existence of positive solutions for boundary value problem (1.1 - 1.2 1.1 - 1.2zing a fixed point theorem in cones.
We will prove the existence of solutions for the boundary value problem (1.1 - 1.2 1.1 - 1.2zing bynach's contraction mapping principle and Schaefer's fixed-point theorem.
The properties of Bernstein Polynomials, together with Bernstein operational matrix for differentiation formula, are presented and utilized to reduce the given singular boundary value problems to the set of algebraic equations.
Some properties of the Sinc-collocation method required for our subsequent development are given and are utilized to reduce the computation of solution of multi-point boundary value problems to some algebraic equations.
As we know, there are still very few works to utilize fixed point theorems of mixed monotone operators to study fourth-order boundary value problems.
The theory of reproducing kernels [20], was utilized for the first time at the beginning of the 20th century by Zaremba in his work on boundary value problems.
As an application, we utilize the obtained results to study the existence and uniqueness of positive solutions for nonlinear fractional differential equation boundary value problems.
