Abstract
People find that formal solutions to a type of doubly singular ordinary differential equations (systems) summable in a monomial of two variables, and that formal solutions to many singular partial differential equations were multisummable. So summability theory of formal power series in several variables is of great importance to the research of formal solutions to partial differential equations. This enriches the achievements in the research of formal solutions to differential equations. It is a application of monomial summability theory of formal power series.
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