An expression for the first conjugate point for an 𝑛th order nonlinear differential equation

Peterson, Allan C.

doi:10.1090/S0002-9939-1976-0427741-0

An expression for the first conjugate point for an $n$th order nonlinear differential equation
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Proc. Amer. Math. Soc. 61 (1976), 300-304 Request permission

Abstract:

It is proved that the first conjugate point for an $n$th order nonlinear differential equation is the infimum of the first conjugate points of the corresponding variational equations.

References

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