Existence and uniqueness of solutions for a second-order iterative boundary-value problem

We consider the existence and uniqueness of solutions to the second-order iterative boundary-value problem $$ x''(t) = f(t, x(t), x^{[2]}(t)), \quad a \leq t \leq b, $$ where $x^{[2]}(t) = x(x(t))$, with solutions satisfying one of the boundary conditions $x(a) = a$, $x(b) = b$ or $x...

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Bibliographic Details
Main Author: Eric R. Kaufmann
Format: Article
Language:English
Published: Texas State University 2018-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2018/150/abstr.html