Abstract
In this paper, we use the Laplace transform technique to examine the generalized solutions of the nth order Cauchy–Euler equations. By interpreting the equations in a distributional way, we found that whether their solution types are classical, weak or distributional solutions relies on the conditions of their coefficients. To illustrate our findings, some examples are exhibited.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference19 articles.
1. Elementary Differential Equations and Boundary Value Problems;Boyce,2008
2. Elementary Differential Equations;Kohler,2006
3. Generalized Functions: Theory and Technique;Kanwal,2004
4. Generalized-function solutions of differential and functional differential equations
5. Theorie des Distributions;Schwartz,1959
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