A compactness condition for solutions of ordinary differential equations
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- by L. K. Jackson PDF
- Proc. Amer. Math. Soc. 57 (1976), 89-92 Request permission
Abstract:
It is proven that a sequence $\{ {y_k}(x)\}$ of solutions of ${y^{(n)}} = f(x,y,yβ, \ldots ,{y^{(n - 1)}})$ with $\{ {y_k}(x)\}$ uniformly bounded on a compact interval $[c,d]$ has a bounded total variation sequence $\{ V_c^d({y_k})\}$ provided solutions of the differential equation extend and $n$-point boundary value problems have at most one solution.References
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Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 57 (1976), 89-92
- MSC: Primary 34B15
- DOI: https://doi.org/10.1090/S0002-9939-1976-0404743-1
- MathSciNet review: 0404743