Download Group Analysis of Differential Equations by L. V. Ovsiannikov PDF

By L. V. Ovsiannikov

workforce research of Differential Equations offers a scientific exposition of the idea of Lie teams and Lie algebras and its program to making algorithms for fixing the issues of the gang research of differential equations.

This textual content is prepared into 8 chapters. Chapters I to III describe the one-parameter crew with its tangential box of vectors. The nonstandard remedy of the Banach Lie teams is reviewed in bankruptcy IV, together with a dialogue of the whole conception of Lie workforce adjustments. Chapters V and VI hide the development of partial answer periods for the given differential equation with a recognized admitted workforce. the speculation of differential invariants that's built on an infinitesimal foundation is elaborated in bankruptcy VII. The final bankruptcy outlines the ways that the tools of staff research are utilized in unique matters regarding differential equations.

This booklet is an effective resource for college kids and experts considering parts during which traditional and partial differential equations play an immense role.

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