An existence theorem for systems of boundary value problems

Herzog, Gerd; Lemmert, Roland

doi:10.1090/S0002-9939-99-05011-X

An existence theorem for systems of boundary value problems
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by Gerd Herzog and Roland Lemmert PDF

Proc. Amer. Math. Soc. 128 (2000), 157-160 Request permission

Abstract:

We prove an existence theorem for $u''(t)=f(t,u(t),u’(t))$, $u(0)=u_0$, $u(1)=u_1$ in $\mathbb {R}^n$, using the shooting method. The function $f$ is supposed to be asymptotically linear.

References

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