This volume focuses on the basic theory of inverse problems. The first chapter offers an introduction to the theory of inverse problems, with examples of both inverse and ill-posed problems, as well as methods of their solution. The following chapters address topics including: inverse problems for ordinary differential equations; inverse problems for linear partial differential equations; inverse coefficient problems for partial differential equations; determining functions for one or two variables by integrals of these functions; and methods of solution of inverse problems. At the end of each chapter exercises are included to assist readers in gaining a better understanding of the subject matter.
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