Integration of Ordinary Linear Differential Equations by Laplace-Stieltjes Transforms
Copyright policy )Integration of Ordinary Linear Differential Equations by Laplace-Stieltjes Transforms
Let R R be a constant N × N N \times N matrix and g ( t ) g(t) an N × N N \times N matrix of functions representable as absolutely convergent Laplace-Stieltjes transforms for t > 0 t > 0 . The paper gives sufficient conditions for certain solutions of the system y ′ = ( R + g ( t ) ) y y’ = (R + g(t))y to be expressed as Laplace-Stieltjes transforms or as linear combinations of such transforms with coefficients which are powers of t t .
- Johns Hopkins University United States
- United States Naval Academy United States
Laplace transform, Linear ordinary differential equations and systems, Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc., Asymptotic expansions of solutions to ordinary differential equations, Ordinary differential equations in the complex domain
Laplace transform, Linear ordinary differential equations and systems, Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc., Asymptotic expansions of solutions to ordinary differential equations, Ordinary differential equations in the complex domain
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