Sentence examples for principles for nonlinear from inspiring English sources

For example, the averaging principles for nonlinear ordinary differential equations (ODEs) can be found in [2, 3].

In addition, the semi-inverse variational principle is a robust and efficient method which gives the variational principles for nonlinear problems.

We prove the existence of at least three nontrivial solutions, which means that we get two extremal constant-sign solutions and one sign-changing solution by using truncation techniques and comparison principles for nonlinear elliptic differential inequalities.

Since there exists no separation principle for nonlinear systems in general, we can only state local asymptotic stability in this case.

For the averaging principles of nonlinear partial differential equations (PDEs), we refer to [4, 5].

Meanwhile, Jacek Jachymski [3] established a corrected probabilistic version of the Banach fixed-point principle for general nonlinear contractions.

In 2010, a truthful probabilistic version of the Banach fixed-point principle for general nonlinear contractions was presented by Ljubomir Ćirić [2].

We propose second order accurate discontinuous Galerkin (DG) schemes which satisfy a strict maximum principle for general nonlinear convection diffusion equations on unstructured triangular meshes.

This paper presents an efficient control scheme using a Hammerstein recurrent neural network (HRNN) based on the minimum description length (MDL) principle for controlling nonlinear dynamic systems.

Since Krylov and Bogolyubov [1] put forward the averaging principles for dynamical systems in 1937, the averaging principles have received great attention and many people have devoted their efforts to the study of averaging principles of nonlinear dynamical systems.

The control-oriented model developed for this study considers electrochemistry, thermodynamics, and fluid flow principles for a 13-state, nonlinear model of a pressurized fuel cell system.