Bifurcation Conditions for the Solutions of Weakly Perturbed Boundary-Value Problems for Operator Equations in Banach Spaces
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We establish the conditions of bifurcation of the solutions of weakly perturbed boundary-value problems for operator equations in Banach spaces from the point 𝜀 = 0. A convergent iterative procedure is proposed for the construction of solutions as parts of series in powers of 𝜀 with poles at the point 𝜀 = 0.
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