On Necessary Conditions for Resonance in Turning Point Problems for Ordinary Differential Equations

Jiang Fu-ru

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Article Navigation > Applied Mathematics and Mechanics > 1989 > 10(4): 277-284

Jiang Fu-ru. On Necessary Conditions for Resonance in Turning Point Problems for Ordinary Differential Equations[J]. Applied Mathematics and Mechanics, 1989, 10(4): 277-284.

Citation:

Jiang Fu-ru. On Necessary Conditions for Resonance in Turning Point Problems for Ordinary Differential Equations[J]. Applied Mathematics and Mechanics, 1989, 10(4): 277-284.

Citation:

Jiang Fu-ru. On Necessary Conditions for Resonance in Turning Point Problems for Ordinary Differential Equations[J]. Applied Mathematics and Mechanics, 1989, 10(4): 277-284.

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On Necessary Conditions for Resonance in Turning Point Problems for Ordinary Differential Equations

Jiang Fu-ru

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai

Received Date: 1988-01-16
Publish Date: 1989-04-15

Abstract

Abstract

In this paper, some misunderstam igs concerning the necessary conditions for resonance for ordinary differential equations with turning point have been corrected, and a recursive process for finding the sequence of necessary conditions for resonance has been offered.

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References(5)

References

[1]	Ackerberg,R, C, and R.E, O'Malley,Jr.,Boundary layer problem exhibiting resonance, Studies Appl.Math.,49,3(1970),277-295.
[2]	Wait,A.M.,A singular perturbation problem with a turning point, Bull.Austral.Math. Soc.,5(1971), 61-73.
[3]	Cook,L.P. and W. Eckhaus, Resonance in a boundary value problem of singular perturbation type,Studies in Appl.Math.,7,2 (1973),129-139.
[4]	Matkowsky,B, J.,On boundary layer problems exhibiting resonance, SIAM Rev.,17 (1975),82-100;Errata, Ibid.,18 (1976),112.
[5]	Olver, F.W, J.,Sufficient conditions for Ackerbergr O'Malley resonance,SIAM J. Math. Anal.,9(1978),328-355.