“A uniqueness theorem for certain two-point boundary value problems”: A correction
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- by Ross Fraker PDF
- Proc. Amer. Math. Soc. 28 (1971), 631-632 Request permission
Abstract:
The boundary value problem $x'' = f(t,x,x’),x(a) = A,x(b) = B$ is shown to have at most one solution on the interval $[a,b]$. The function $f(t,y,z)$ is such that $f(t,{y_1},{z_1}) - f(t,{y_2},{z_2}) > g(t,{y_1} - {y_2},{z_1} - {z_2})$ where initial value problem solutions of $z'' = g(t,z,z’)$ have a minimum interval of disconjugacy.References
- Philip Hartman, Ordinary differential equations, John Wiley & Sons, Inc., New York-London-Sydney, 1964. MR 0171038
- James S. W. Wong, A uniqueness theorem for certain two-point boundary value problems, Proc. Amer. Math. Soc. 19 (1968), 249–250. MR 221011, DOI 10.1090/S0002-9939-1968-0221011-7
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 28 (1971), 631-632
- MSC: Primary 34.36
- DOI: https://doi.org/10.1090/S0002-9939-1971-0274849-4
- MathSciNet review: 0274849