Topics in Differential and Integral Equations and Operator Theory

Krein

ISBN 10: 3034854188 / ISBN 13: 9783034854184

Published by Birkhäuser Basel, 2014

About this Item

Druck auf Anfrage Neuware - Printed after ordering - In this volume three important papers of M.G. Krein appear for the first time in English translation. Each of them is a short self-contained monograph, each a masterpiece of exposition. Although two of them were written more than twenty years ago, the passage of time has not decreased their value. They are as fresh and vital as if they had been written only yesterday. These papers contain a wealth of ideas, and will serve as a source of stimulation and inspiration for experts and beginners alike. The first paper is dedicated to the theory of canonical linear differential equations, with periodic coefficients. It focuses on the study of linear Hamiltonian systems with bounded solutions which stay bounded under small perturbations of the system. The paper uses methods from operator theory in finite and infinite dimensional spaces and complex analysis. For an account of more recent literature which was generated by this paper see AMS Translations (2), Volume 93, 1970, pages 103-176 and Integral Equations and Operator Theory, Volume 5, Number 5, 1982, pages 718-757.

Seller Inventory # 9783034854184

Bibliographic Details

• Title: Topics in Differential and Integral Equations and Operator Theory
• Publisher: Birkhäuser Basel
• Publication Date: 2014
• Language: English
• ISBN 10: 3034854188
• ISBN 13: 9783034854184
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 244W x 170H x 18D millimeters 244 millimeters width by 170 millimeters height by 18 millimeters depth
• Weight: 548 grams

About this title

Synopsis

In this volume three important papers of M.G. Krein appear for the first time in English translation. Each of them is a short self-contained monograph, each a masterpiece of exposition. Although two of them were written more than twenty years ago, the passage of time has not decreased their value. They are as fresh and vital as if they had been written only yesterday. These papers contain a wealth of ideas, and will serve as a source of stimulation and inspiration for experts and beginners alike. The first paper is dedicated to the theory of canonical linear differential equations, with periodic coefficients. It focuses on the study of linear Hamiltonian systems with bounded solutions which stay bounded under small perturbations of the system. The paper uses methods from operator theory in finite and infinite dimensional spaces and complex analysis. For an account of more recent literature which was generated by this paper see AMS Translations (2), Volume 93, 1970, pages 103-176 and Integral Equations and Operator Theory, Volume 5, Number 5, 1982, pages 718-757.

Language Notes

Text: English, Russian (translation)