Existence and uniqueness for two-point boundary value problems
1981 ◽
Vol 88
(3-4)
◽
pp. 219-234
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Keyword(s):
SynopsisBoundary value problems associated with y″ = f(x, y, y′) for 0 ≦ x ≦ 1 are considered. Using techniques based on the shooting method, conditions are given on f(x, y,y′) which guarantee the existence on [0, 1] of solutions of some initial value problems. Working within the class of such solutions, conditions are then given on nonlinear boundary conditions of the form g(y(0), y′(0)) = 0, h(y(0), y′(0), y(1), y′(1)) = 0 which guarantee the existence of a unique solution of the resulting boundary value problem.
1976 ◽
Vol 13
(3)
◽
pp. 405-411
◽
2017 ◽
Vol 17
(2)
◽
pp. 46-56
Keyword(s):
2013 ◽
Vol 2013
(1)
◽
pp. 266
◽
2019 ◽
Vol 3
(1)
◽