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A perturbation method for the solution of linear matrix differential equations

1967; Elsevier BV; Volume: 283; Issue: 5 Linguagem: Inglês

10.1016/0016-0032(67)90088-9

1879-2693

Louis A. Pipes,

Electromagnetic Compatibility and Noise Suppression

The mathematical formulation of problems in electric circuit theory, structura engineering, and dynamics by the “state-vector” approach leads to a matrix differential equation of the form dSdx = A(x)S(x) + φ(x). This paper presents a useful method for the approximate solution of the matrix differential equation subject to initial and two-point boundary conditions. The general procedure is illustrated by applying it to the study of non-uniform electrical transmission lines of a general type.