ANALYSIS OF OPTIMAL INVESTMENT IN CONTINUUM OF CAPITAL VINTAGES

Hritonenko N. Yatsenko Y. Boranbayev A.
2021 Yokohama Publications

Pure and Applied Functional Analysis
2021 #6 Issue 4 743 - 759 pp.

The considered nonlinear optimal control problem describes distributed investments into new and old capital under limited substitutability among vintages of different ages. The production output is defined by the CES production function with continuum of capital vintage inputs, learning, and technological change. Both balanced growth and transition dynamics are explored. The obtained outcomes lead to new interesting insights about the structure of optimal investment into old vintages.

CES production function , learning , Optimal investment , technological change , transition dynamics , vintage capital substitutability

Text of the article Перейти на текст статьи

Department of Mathematics, Prairie View A&M University, Prairie View, TX, United States
Dunham College of Business, Houston Baptist University, Houston, TX, United States
Computer Science Department, Nazarbayev University, Nur-Sultan, Kazakhstan

Department of Mathematics
Dunham College of Business
Computer Science Department

10 лет помогаем публиковать статьи Международный издатель

Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026