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

Etgen, Garret J.

doi:10.1090/S0002-9939-1972-0289847-5

A note on two point boundary problems for nonlinear matrix differential systems
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by Garret J. Etgen

Proc. Amer. Math. Soc. 31 (1972), 213-218

DOI: https://doi.org/10.1090/S0002-9939-1972-0289847-5

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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.

References

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Bibliographic Information

Journal: Proc. Amer. Math. Soc. 31 (1972), 213-218
DOI: https://doi.org/10.1090/S0002-9939-1972-0289847-5
MathSciNet review: 0289847