Geodesic
Boundary value problem with an inner point for the singularly perturbed semilinear differential equations
Mathematica Bohemica, Tome 136 (2011) no. 1, pp. 1-8
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In this paper we investigate the problem of existence and asymptotic behavior of solutions for the nonlinear boundary value problem $$ \epsilon y''+ky=f(t,y),\quad t\in \langle a,b \rangle , \ k0,\ 0\epsilon \ll 1 $$ satisfying three point boundary conditions. Our analysis relies on the method of lower and upper solutions and delicate estimations.
In this paper we investigate the problem of existence and asymptotic behavior of solutions for the nonlinear boundary value problem $$ \epsilon y''+ky=f(t,y),\quad t\in \langle a,b \rangle , \ k0,\ 0\epsilon \ll 1 $$ satisfying three point boundary conditions. Our analysis relies on the method of lower and upper solutions and delicate estimations.
DOI : 10.21136/MB.2011.141442
Classification : 34B10, 34B16, 34E05, 34E10, 34E20
Keywords: singular perturbation; boundary value problem; upper solution; lower solution 
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Vrábeľ, Róbert. Boundary value problem with an inner point for the singularly perturbed semilinear differential equations. Mathematica Bohemica, Tome 136 (2011) no. 1, pp. 1-8. doi: 10.21136/MB.2011.141442

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