MMN-1319

Constructive existence analysis of solutions of non-linear integral boundaryvalue problems

Abstract

Sufficient conditions guaranteeing the solvability of non-linear integral boundary value problems for a system of non-linear ordinary differential equations are obtained using a special successive approximation technique. The constructivity of a suggested approach is shown on the example of non-linear integral boundary value problem with two solutions.


Vol. 15 (2014), No. 2, pp. 725-742
DOI: https://doi.org/10.18514/MMN.2014.1319


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