An intermediate level course in the analytical and numerical study of ordinary differential equations, with an emphasis on their applications to the real world. Exact solution methods for ordinary ...

Abel differential equations are a class of differential equations that play a significant role in various fields of mathematics and applied sciences. They are characterized by their non-linear nature ...

Partial Differential Equations (PDEs) are central to both pure and applied mathematics. Any quantity which changes in space and time will satisfy certain partial differential equations because the ...

The study of differential equations in Banach spaces represents a fundamental intersection between functional analysis and the theory of dynamical systems. By extending classical methods beyond ...

Maths Differential Equations Formulas: Calculus comprises a major part of the curriculum of the CBSE Class 12 mathematics course. Several chapters from books 1 and 2 of the NCERT math book cover ...

Mathematical approaches for numerically solving partial differential equations. The focus will be (a) iterative solution methods for linear and non-linear equations, (b) spatial discretization and ...

This is a preview. Log in through your library . Abstract Mathematical mean-field approaches play an important role in different fields of Physics and Chemistry, but have found in recent works also ...

This paper shows the existence and uniqueness of the solution of a backward stochastic differential equation inspired from a model for stochastic differential utility in finance theory. We show our ...

An advanced course in the analytical and numerical study of ordinary and partial differential equations, building on techniques developed in Differential Equations I. Ordinary differential equations: ...