Boundedness properties for linear ordinary differential equations
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- by David Lowell Lovelady PDF
- Proc. Amer. Math. Soc. 41 (1973), 193-196 Request permission
Abstract:
In comparing a linear equation and the associated nonhomogeneous equation, it is shown that if every bounded forcing function and every ${\mathcal {L}^1}$ forcing function yields at least one bounded solution, then the bounded subset of the solution family of the homogeneous equation is uniformly ultimately bounded.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 41 (1973), 193-196
- MSC: Primary 34C10
- DOI: https://doi.org/10.1090/S0002-9939-1973-0328202-7
- MathSciNet review: 0328202