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MATHEMATICA BOHEMICA, Vol. 122, No. 2, pp. 175-180 (1997)
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Upper and lower solutions for singularly perturbed semilinear Neumann's problem

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Robert Vrabel

* Robert Vrabel*, Slovak Technical University, Department of mathematics, 917 24 Trnava, Slovak Republic

**Abstract:** 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 $\mu\to0.$

**Keywords:** singularly perturbed equation, Neumann's problem

**Classification (MSC2000):** 35B10

**Full text of the article:**

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