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arXiv · 1205.2133

A new method for the study of boundary value problems for linear and quasi-linear systems of ODE

Yu. A. Konyaev
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Abstract

The method is proposed for the study of many-point boundary value problems for systems of nonlinear ODE, by reducing them to special equivalent integral equations, and allows us [in contrast with the known method [1]] to consider boundary and initial value problems. Here we avoid the mechanism of Green's function whose construction is quite nontrivial, especially in case of many-point boundary value problems. The proposed algorithm [2, 3] makes it easier to write out the condition of unique solvability of such problems. Key words: Boundary-value problems, Singular perturbation theory, Spectrum, Asymptotic behavior.

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BibTeXRIS

Yu. A. Konyaev. 2012-05-10. A new method for the study of boundary value problems for linear and quasi-linear systems of ODE. https://arxiv.org/abs/1205.2133

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