He covers basic equations of continuous media, the basics of the theory of finite-difference schemes, methods for solving systems of algebraic equations, methods for solving boundary value problems for systems of equations, wave propagation problems, finite-difference splitting methods for solving dynamic problems, solving elastoplastic dynamic and quasi-static problems with finite deformations, and modeling damage and fracture in inelastic materials and structures.

2 General Solution Scheme Free boundary value problems for the stationary Navier-Stokes equations or their modifications were the topic of many mathematicians.

1 Introduction Over the last thirty years, boundary value problems have attracted extensive attentions due to their wide range of applications in applied mathematics, physics, biology and engineering (see, for example, [6-8, 12-18] and references therein for more details).

Introduction The multi-point boundary value problems for ordinary differential equations arises in a variety of different areas of applied mathematics and physics.

1983, On Green's function and eigenvalues of nonuniformly elliptic boundary value problems.

Stakgold, Boundary value problems of mathematical physics SIAM, Philadelphia, 2000.

With its careful balance of mathematics and meaningful applications, Green's Functions and Boundary Value Problems, Third Edition is an excellent book for courses on applied analysis and boundary value problems in partial differential equations at the graduate level.

Among the topics are the complexity of a kind of special shift map, positive solutions for some three-point boundary value problems, bifurcation analysis for a predator-prey system with prey refuge and diffusion, similar-short periodicity analysis and application in image compression encryption, the adaptive synchronization of the incommensurate fractional-order chaotic systems with fully unknown parameters, and applying a fractal approach to processing geochemical exploration data of the Baiyin area of Gansu Province.