Geodesic
Upper and lower solutions for singularly perturbed semilinear Neumann's problem
Mathematica Bohemica, Tome 122 (1997) no. 2, pp. 175-180

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MR Zbl
The paper establishes sufficient conditions for the existence of solutions of Neumann's problem for the differential equation $\mu y"+ky=f(t,y)$ which tend to the solution of the reduced problem $ky=f(t,y)$ on $[0,1]$ as $\mu\to0.$
The paper establishes sufficient conditions for the existence of solutions of Neumann's problem for the differential equation $\mu y"+ky=f(t,y)$ which tend to the solution of the reduced problem $ky=f(t,y)$ on $[0,1]$ as $\mu\to0.$
DOI : 10.21136/MB.1997.125912
Classification : 34B15, 34E15, 34E20, 35B10
Keywords: singularly perturbed equation; Neumann’s problem 
Vrábeľ, Róbert. Upper and lower solutions for singularly perturbed semilinear Neumann's problem. Mathematica Bohemica, Tome 122 (1997) no. 2, pp. 175-180. doi: 10.21136/MB.1997.125912
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