A Formula for a Class of Steady State Solutions

Authors

Don E. Edmondson, University of Texas

Abstract

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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Recommended Citation

Edmondson, Don E. (1961) "A Formula for a Class of Steady State Solutions," Journal of the Graduate Research Center: Vol. 29: No. 1, Article 1.
Available at: https://scholar.smu.edu/journal_grc/vol29/iss1/1