An integral representation formula is developed to cope with the problem of determining and studying the steady state solutions of a class of differential equations. The class of differential equations studied is y' + yf = g, where f and g are continuous functions admitting period T > 0. The formula then defines a function admitting period T and serves to allow an analysis of the differential equation above. Theorem I delineates some of the properties of the function and Theorem II provides answers to the steady state questions. An application is made to a capacitance circuit problem.
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Edmondson, Don E.
"A Formula for a Class of Steady State Solutions,"
Journal of the Graduate Research Center: Vol. 29:
1, Article 1.
Available at: https://scholar.smu.edu/journal_grc/vol29/iss1/1