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# Article

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Keywords:
singular perturbation; boundary value problem; upper solution; lower solution
Summary:
In this paper we investigate the problem of existence and asymptotic behavior of solutions for the nonlinear boundary value problem $$\epsilon y''+ky=f(t,y),\quad t\in \langle a,b \rangle , \ k<0,\ 0<\epsilon \ll 1$$ satisfying three point boundary conditions. Our analysis relies on the method of lower and upper solutions and delicate estimations.
References:
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