Boundary value problems for first-order differential equations
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- by L. E. Bobisud and D. O’Regan
- Proc. Amer. Math. Soc. 99 (1987), 501-506
- DOI: https://doi.org/10.1090/S0002-9939-1987-0875388-1
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Abstract:
Conditions sufficient to guarantee existence and uniqueness of solutions to multipoint boundary value problems for the first-order differential equation $y’ = h(t,y)$ are given when $h$ fails to be Lipschitz along a solution of $y’ = h(t,y)$ and the initial-value problem thus has nonunique solutions.References
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Bibliographic Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 99 (1987), 501-506
- MSC: Primary 34B10; Secondary 34A10, 34B15
- DOI: https://doi.org/10.1090/S0002-9939-1987-0875388-1
- MathSciNet review: 875388