Nonlinear boundary-value problems for systems of ordinary differential equations
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We consider nonlinear boundary-value problems (with Noetherian operator in the linear part) for systems of ordinary differential equations in the neighborhood of generating solutions. By using the Lyapunov — Schmidt method, we establish conditions for the existence of solutions of these boundary-value problems and propose iteration algorithms for their construction.
KeywordsOrdinary Differential Equation Null Space Matrix Pseudoinverse Noetherian Operator Generalize Inverse Operator
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