Weakly nonlinear boundary-value problems for differential equations in a Banach space in the critical case |
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| Authors: | O A Boichuk EV Panasenko |
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| Institution: | 1.Institute of Mathematics,Ukrainian National Academy of Sciences,Kyiv,Ukraine;2.Zaporizhzhya National University,Zaporizhzhya,Ukraine |
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| Abstract: | We obtain necessary and sufficient conditions for the existence of solutions of weakly nonlinear boundary-value problems for
differential equations in a Banach space. A convergent iterative procedure is proposed for the determination of solutions.
We also establish a relationship between necessary and sufficient conditions. |
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