EXISTENCE AND APPROXIMATION OF SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR SECOND ORDER ITERATIVE DIFFERENTIAL EQUATIONS*

Vasile Berinde

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Source: Crossref

Published: Jan 1, 2026

DOI: 10.56082/annalsarscimath.2026.3.185

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Source abstract

We study the existence and approximation of solutions to the second-order iterative boundary-value problem x00(t) = f (t,x(t),x[2] (t)) , 0 t 1, where x[2] (t); = x(x(t)), with solutions satisfying one of the two sets of boundary conditions: (i) x(0) = 0, x(1) = 1; (ii) x(0) = 1, x(1) = 0.

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