Nonlinear Differential Equations and Applications

Description

In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two. Such relations are common; therefore, differential equations play a prominent role in real life situations. The Progress in Nonlinear Differential Equations and Their Applications series lies at the interface of pure and applied mathematics. Many differential equations are motivated by problems arising in diversified fields such as mechanics, physics, differential geometry, engineering, control theory, biology, and economics. The series is open to both theoretical and applied aspects, hopefully stimulating a fruitful interaction between the two sides, and publishes monographs, polished notes arising from lectures and seminars, graduate level texts, and proceedings of focused and referred conferences. This particular book “Non-Linear Differential Equations and Applications” displays the subject material from both the subjective and the quantitative perspective.