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Proceedings of the American Mathematical Society

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A note on two point boundary problems for nonlinear matrix differential systems


Author: Garret J. Etgen
Journal: Proc. Amer. Math. Soc. 31 (1972), 213-218
DOI: https://doi.org/10.1090/S0002-9939-1972-0289847-5
MathSciNet review: 0289847
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Abstract: This note is concerned with second order, nonlinear matrix differential systems involving a parameter together with boundary conditions specified at two points. The objective is to establish sufficient conditions for the existence of eigenvalues for the system. The results presented here represent extensions of recent work of the author. The principal motivation is provided by W. M. Whyburn's work on nonlinear boundary problems for second order differential systems.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1972-0289847-5
Keywords: Nonlinear matrix differential equations, two point boundary problems, existence of eigenvalues
Article copyright: © Copyright 1972 American Mathematical Society