Application of Liapunov theory to boundary value problems. II
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- by J. H. George and R. J. York
- Proc. Amer. Math. Soc. 37 (1973), 207-212
- DOI: https://doi.org/10.1090/S0002-9939-1973-0313568-4
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Abstract:
The second order vector differential equation $x'' = f(t,x,x’)$ is considered. Liapunov conditions for existence of solutions to boundary value problems are obtained strictly in terms of the function f, extending the results of George and Sutton [1].References
- J. H. George and W. G. Sutton, Application of Liapunov theory to boundary value problems, Proc. Amer. Math. Soc. 25 (1970), 666–671. MR 261106, DOI 10.1090/S0002-9939-1970-0261106-4
- Philip Hartman, Ordinary differential equations, John Wiley & Sons, Inc., New York-London-Sydney, 1964. MR 171038
- H.-W. Knobloch, On the existence of periodic solutions for second order vector differential equations, J. Differential Equations 9 (1971), 67–85. MR 277824, DOI 10.1016/0022-0396(70)90154-3
Bibliographic Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 37 (1973), 207-212
- MSC: Primary 34B15
- DOI: https://doi.org/10.1090/S0002-9939-1973-0313568-4
- MathSciNet review: 0313568