A functional equation method for ordinary differential equations
Copyright policy )A functional equation method for ordinary differential equations
is a function of class C oO and every locally integrable solution f of this equat ion is equal almost everywhere to a solution of class Coo. II. Suppose that 1 ° q~i( t )sC 4 in an open interval A c R, i= 1, ..., m, 2 ° there exists an c~A such that ~oi(~) = 0 for i = 1 .. . . , m, a v d f t a . d f . 3 ° the vectors ~oi = ~oi (~) and ~oi =~oi (~) ( i= 1 . . . . . m) span the space R ~, 4 ° Em:t p',(~0''¢) 2 ( ~ ' [ ' ~ ) = 0 f o r ~eR". Then every cont inuous solution f of the equation
Applied Mathematics, Explicit solutions, first integrals of ordinary differential equations, Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc., Analysis
Applied Mathematics, Explicit solutions, first integrals of ordinary differential equations, Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc., Analysis
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