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Continuation and uniqueness for generalised Emden-Fowler systems

Published online by Cambridge University Press:  17 February 2009

Lynn H. Erbe  and
Zhongchao Liang
Lynn H. Erbe
Affiliation:
Department of Mathematics, University of Alberta, Edmonton, Alberta, CanadaT6G2G1.
Zhongchao Liang
Affiliation:
Department of Mathematics, University of Alberta, Edmonton, Alberta, CanadaT6G2G1. On leave from Ocean University of Qingdao, Qingdao, P.R.C.
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Abstract

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We discuss uniqueness and continuation of solutions to the Cauchy problem for a two dimensional Emden-Fowler differential system.

Type
Research Article
Information
The ANZIAM Journal , Volume 33 , Issue 1 , July 1991 , pp. 85 - 93
Copyright
Copyright © Australian Mathematical Society 1991

References

[1]Coffman, C. V. and Ullrich, , “On the continuation of solutions of a certain non-linear differential equation”, Monatsh. Math. 71 (1967) 385–392.CrossRefGoogle Scholar
[2]Coffman, C. V. and Wong, J. S. W., “Oscillation and nonoscillation of solutions of generalized Emden-Fowler equations”, Trans. Amer. Math. Soc. 167 (1972) 399–434.CrossRefGoogle Scholar
[3]Hastings, S. P., “Boundary value problems in one differential equation with a discontinuity”, J. Diff. Eqn. 1 (1965) 346–369.CrossRefGoogle Scholar
[4]Heidel, J. W., “Uniqueness, continuation, and nonoscillation for a second order nonlinear differential equation”, Pac. J. Math. 32 (1970) 715–721.CrossRefGoogle Scholar
[5]Kwong, M. K., “On uniqueness and continuability of the Emden-Fowler equation”, J. Austral. Math. Soc. 24 (Series A) (1977) 121–128.CrossRefGoogle Scholar
[6]Kwong, M. K. and Wong, J. S. W., “Oscillation of Emden-Fowler systems”, Diff. and Integral Equations 1 (1988) 133–141.Google Scholar
[7]Mirzov, D. D., “Oscillatory properties of solutions of a system of nonlinear differential equations”, Diff. Urav. 9 (1973) 581–583.Google Scholar
[8]Mirzov, D. D., “Oscillation properties of solutions of a nonlinear Emden-Fowler differential system”, Diff. Urav. 16 (1980) 1980–1984.Google Scholar
[9]Ullrich, D. F., “Boundary value problems for a class of nonlinear second-order differential equation”, J. Math. Anal. 28 (1969) 188–210.CrossRefGoogle Scholar