The Turnpike Troupidoors

Individual turnpike results are of great interest due to their numerous applications in engineering and in economic theory; in this book the study is focused on new results of turnpike phenomenon in linear optimal control problems. The book is intended for engineers as well as for mathematicians interested in the calculus of variations, optimal control and in applied functional analysis.

Turnpike Troubadours is one of those IYKYK acts, able to headline Red Rocks but rarely played on mainstream country radio. Often called one of the best groups in contemporary country music (though that's discounting their Red Dirt roots, incorporating folk, rock, bluegrass, Western swing and more), they are also a musicians' band able to attract a catholic list of openers including Dawes, Old 97's, the Avett Brothers, Steve Earle and Ray Wylie Hubbard.

​Structure of Solutions of Variational Problems is devoted to recent progress made in the studies of the structure of approximate solutions of variational problems considered on subintervals of a real line. Results on properties of approximate solutions which are independent of the length of the interval, for all sufficiently large intervals are presented in a clear manner. Solutions, new approaches, techniques and methods to a number of difficult problems in the calculus of variations are illustrated throughout this book.

​Structure of Solutions of Variational Problems is devoted to recent progress made in the studies of the structure of approximate solutions of variational problems considered on subintervals of a real line. Results on properties of approximate solutions which are independent of the length of the interval, for all sufficiently large intervals are presented in a clear manner. Solutions, new approaches, techniques and methods to a number of difficult problems in the calculus of variations are illustrated throughout this book.