The Strong Nonlinear Limit-point/limit-circle Problem

The Strong Nonlinear Limit-point/limit-circle Problem

  • John R Graef
  • Miroslav Bartusek
Publisher:World ScientificISBN 13: 9789813226395ISBN 10: 9813226390

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The Strong Nonlinear Limit-point/limit-circle Problem is written by John R Graef and published by World Scientific. It's available with International Standard Book Number or ISBN identification 9813226390 (ISBN 10) and 9789813226395 (ISBN 13).

The limit-point/limit-circle problem had its beginnings more than 100 years ago with the publication of Hermann Weyl's classic paper in Mathematische Annalen in 1910 on linear differential equations. This concept was extended to second-order nonlinear equations in the late 1970's and later, to higher order nonlinear equations. This monograph traces the development of what is known as the strong nonlinear limit-point and limit-circle properties of solutions. In addition to bringing together all such results into one place, some new directions that the study has taken as well as some open problems for future research are indicated.