Sentence examples similar to established by using the principle from inspiring English sources

Sufficient conditions for the global stability of the endemic equilibrium are established by using the comparison principle.

A coupled longitudinal transverse dynamic model is established by using the extended Hamilton׳s principle and discretized by Galerkin method.

The uniqueness of solutions of the fractional differential system is established by using the Banach contraction principle.

The existence and the uniqueness of the solutions are established by using the Banach contraction principle, while the existence of solutions is derived by applying Leray-Schauder's alternative.

Firstly, the nonlinear governing equations of nonplanar motion for an axially accelerating moving viscoelastic beam are established by using the generalized Hamilton's principle for the first time.

Considering the geometric nonlinearity and the nonlinear contact effect, the nonlinear governing equations and corresponding matching conditions for the delaminated shells are established by using the movable-boundary variational principle.

The uniqueness of solution was established by using the Banach contraction mapping principle.

Under certain suitable nonlinear growth conditions imposed on the nonlinear term, the existence and uniqueness result is established by using the Banach contraction mapping principle.

The existence and uniqueness of nontrivial solutions for BVP (1.2) are established by using the Schauder fixed point theorem and the Banach contraction mapping principle.

A robust NN structure is established by using principle design data from the Matlab diagrams of system functions.

Using the mass of time-varying length balance rope focused on the hoisting conveyance, the coupling longitudinal-transverse model of mine friction hoist was established by using of the Hamilton's principle.