Sentence examples for solution of this class from inspiring English sources

In general, the solution of this class of problems is computationally very demanding due to the large number of finite element model analyses required during the design process.

As the presence of these layer structures suggests, reliable and accurate solution of this class of problems using finite difference, finite volume or finite element schemes requires grading the mesh into the layers and due attention to the associated algorithms.

By using the theory of stochastic perturbation, a technique of solution for this class of problems is proposed, leading to an effective numerical solution.

By using the resolvent operator associated with -accretive operator due to Lan, an existence theorem of solution for this class of variational inclusions is proved, and a new hybrid proximal point algorithm is established and suggested, and the convergence of iterative sequences generated by the algorithm is discussed in -uniformly smooth Banach spaces.

We derive existence of a solution for this class of generalized vector complementarity problems under an inclusive type condition.

They established existence results of a solution for this class of vector complementarity problems under an inclusive type condition.

We prove the existence of a weak solution to this class of problems by designing a constructive proof based on the time discretization via operator splitting.

By using the KKM technique and the well-known Nadler result, we prove some existence theorems of solutions for this class of generalized vector equilibrium-like problems.

By using the Mönch fixed point theorem, they obtained some new existence theorems of solutions for this class of nonlinear first-order implicit impulsive integro-differential equations in Banach spaces under some weaker conditions.

Our task is to obtain a reliable and simple method for investigating the stability of solutions of this class of systems.

easily verifiable sufficient criteria are established for the existence of periodic solutions of this class of nonautonomous scalar dynamic equations on time scales, the approach that authors used in this paper is based on Mawhin's continuation theorem.