Dynamic modeling of mechanical, electrical, electro-mechanical, hydraulic and thermal components. Application of ordinary differential equations, Laplace transforms, and numerical simulation for the ...

Several fundamental results on the existence and behavior of solutions to semilinear functional differential equations are developed in a Banach space setting. The ideas are applied to ...

The field of global optimisation of dynamic systems and differential equations focuses on developing robust mathematical and computational methods to determine best‐case solutions in environments ...

Sufficient conditions are given for the existence, uniqueness and finite-dimensional approximation of the solution to a first-order infinite-dimensional vector differential equation. Given a suitable ...

Introduces the theory and applications of dynamical systems through solutions to differential equations.Covers existence and uniqueness theory, local stability properties, qualitative analysis, global ...