Theory of Differential Equations, Part III, Volume IV: Ordinary Linear Equations - Brossura

Forsyth, Andrew Russell

 
9781107696815: Theory of Differential Equations, Part III, Volume IV: Ordinary Linear Equations

Sinossi

The fourth of six volumes in Forsyth's Theory of Differential Equations series, concentrating specifically on ordinary linear equations.

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Descrizione del libro

Originally published in 1902, this book constitutes the fourth of six volumes in Scottish mathematician Andrew Russell Forsyth's Theory of Differential Equations series, concentrating specifically on ordinary linear equations. The text contains detailed information on the development of this area and substantial contributions made to it.

Contenuti

1. Linear equations: existence of synectic integrals: fundamental systems; 2. General form and properties of integrals near a singularity; 3. Regular equations: equation having all its integrals regular near a singularity; 4. Equations having their integrals regular in the vicinity of every singularity (including infinity); 5. Linear equations of the second and the third orders possessing algebraic integrals; 6. Equations having only some of their integrals regular near a singularity; 7. Normal integrals: subnormal integrals; 8. Infinite determinants, and their application to the solution of linear equations; 9. Equations with uniform periodic coefficients; 10. Equations having algebraic coefficients; Index to Part III.

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