Ilpo Laine, "Nevanlinna Theory and Complex Differential Equations"
1992 | pages: 346 | ISBN: 3110134225 | PDF | 16,7 mb
Differential equations in the complex domain is an area of mathematics admitting several ways of approach. The local theory is perhaps the most investigated of these approaches. Its basic results, say the local existence and uniqueness theorem of solutions, singularity theory etc., can be found in a large number of text-books of differential equations. Our focus of interest is different. The basic existence and uniqueness theorem and the basic linear structure of solutions of linear differential equations are the only results from the local theory we assume the reader is familiar with in advance. The global theory, where our interest lies, can also be studied in many different ways.
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