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Analytic solution of transcendental equations

Henryk Górecki (2010)

International Journal of Applied Mathematics and Computer Science

A decomposition technique of the solution of an n-th order linear differential equation into a set of solutions of 2-nd order linear differential equations is presented.

Asymptotic estimates of solutions and their derivatives for n-th order nonhomogeneous ordinary differential equations with constant coefficients

Jan Andres, Tomá Turský (1996)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

Asymptotic estimates of solutions and their derivatives for n-th order nonhomogeneous ODEs with constant coefficients are obtained, provided the associated characteristic polynomial is (asymptotically) stable. Assuming, additionally, the stability of the so called "shifted polynomials" (see below) to the characteristic one, the estimates can be still improved.

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