This volume provides a broad introduction to nonlinear integral dynamical models and new
classes of evolutionary integral equations. It may be used as an advanced textbook by …

We study an economy in which firms use labor and various vintages of capital in a CES
production function for the final good. We explicitly solve for the investment in capital of a …

Интегральные модели позволяют изучать поведение динамических систем и
процессов. Соответствующие процессы описываются интегральными динамическими …

Vintage capital growth models have been at the heart of growth theory in the 1960s. This
research line collapsed in the late 1960s with the so-called embodiment controversy and the …

In this paper, we consider a discrete-time optimal control problem related to the model of
Robinson, Solow and Srinivasan. We analyze this optimal control problem without concavity …

We develop an approach for constructing continuous solutions of integral Volterra equations
of the first kind that arise in modeling developing dynamical systems. We give existence …

An optimal harvesting problem is analyzed in the Lotka–McKendrick model of age-structured
populations. Depending on the imposed constraints, this problem possesses bang-bang or …

For more than 70 years now, there has been a lot of research activity regarding the turnpike
theory and infinite horizon optimal control. This activity stems from Samuelson's discovery of …

In this book we study the turnpike phenomenon arising in the optimal control theory. The
term was first coined by P. Samuelson in 1948 when he showed that an efficient expanding …

This paper studies to which extent a firm using a scarce resource input and facing
environmental regulation can still manage to have a sustainable growth of output and profits …