A priori bounds for boundary sets
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- by J. W. Bebernes and Ross Fraker PDF
- Proc. Amer. Math. Soc. 29 (1971), 313-318 Request permission
Abstract:
Consider $y'' = f(t,y,y’)$ with boundary conditions $(0,y(0),y’(0)) \in {S_1},(1,y(1),y’(1)) \in {S_2}$. It is shown that the boundary value problem has a solution for certain boundary sets ${S_1}$ and ${S_2}$ which depend on the assumed Nagumo condition for $f(t,y,y’)$.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 29 (1971), 313-318
- MSC: Primary 34.36
- DOI: https://doi.org/10.1090/S0002-9939-1971-0277807-9
- MathSciNet review: 0277807