A Priori Bounds for Boundary Sets
- 1 July 1971
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 29 (2) , 313-318
- https://doi.org/10.2307/2038133
Abstract
Consider <!-- MATH $y'' = f(t,y,y')$ --> with boundary conditions <!-- MATH $(0,y(0),y'(0)) \in {S_1},(1,y(1),y'(1)) \in {S_2}$ --> . It is shown that the boundary value problem has a solution for certain boundary sets and which depend on the assumed Nagumo condition for .
Keywords
This publication has 4 references indexed in Scilit:
- A Variation of the Topological Method of WażewskiSIAM Journal on Applied Mathematics, 1971
- A general boundary value problem techniqueJournal of Differential Equations, 1970
- A Technique for Solving Two-Dimensional Boundary Value ProblemsSIAM Journal on Applied Mathematics, 1969
- Nonlinear boundary-value problems arising in chemical reactor theoryJournal of Differential Equations, 1968