Algebraic Theory of Linear Systems: A Survey
نویسندگان
چکیده
An introduction into the algebraic theory of several types of linear systems is given. In particular, linear ordinary and partial differential and difference equations are covered. Special emphasis is given to the formulation of formally wellposed initial value problem for treating solvability questions for general, i. e. also underand overdetermined, systems. A general framework for analysing abstract linear systems with algebraic and homological methods is outlined. The presentation uses throughout Gröbner bases and thus immediately leads to algorithms.
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