Sentence examples for several nonlinear problems from inspiring English sources

Also, the monotone iterative technique is associated with several nonlinear problems [5].

Several nonlinear problems are considered including, soil plasticity, cracking, reaching the soil bearing capacity, creep, etc. Dynamic analysis together with stability analysis are also included.

Moreover, Peng et al. [10] provided a unified approach to the generic uniqueness and applied it to several nonlinear problems.

In fact, the fixed point theory for such mappings can be applied to several nonlinear problems such as zero point problems for monotone operators, convex feasibility problems, convex minimization problems, equilibrium problems, and so on; see [1 3] and Section 5 for more details.

I k ∈ C R, R), Δ x t k = x t k + - x t k -, t k - 1 < η 1 k < η 2 k < … < η c k k ≤ t k, τ l k, ρ l k ≥ 0, l = 1, 2,..., c k, c k ∈ N = {1, 2,...}, k = 1, 2,..., m, μ ≥ 0. The monotone iterative technique coupled with the method of lower and upper solutions is a powerful method used to approximate solutions of several nonlinear problems (see [4 14]).

Various nonlinear problems arising in several branches of mathematics, besides some other quantitative sciences such as economics, biology, physics and engineering, can be transformed to a fixed point problem of the form T x = x for a self-mapping T defined on a subset of the metric space ( X, d ).

In order to improve the meta-material performance, several nonlinear optimization problems are formulated.

For pairs of orders 3 and 4, the error estimator accurately tracked the exact local truncation error on several nonlinear test problems.

Several nonlinear analysis problems arise from areas of optimization theory, game theory, differential equations, mathematical physics, convex analysis and nonlinear functional analysis.

In this chapter, several nonlinear heat transfer problems in nanofluids will be discussed.

The proposed method is successfully applied on several nonlinear parameter estimation problems for subsurface flow models.