Geodesic
Existence and positivity of solutions for a nonlinear periodic differential equation
Archivum mathematicum, Tome 48 (2012) no. 4, pp. 261-270 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We study the existence and positivity of solutions of a highly nonlinear periodic differential equation. In the process we convert the differential equation into an equivalent integral equation after which appropriate mappings are constructed. We then employ a modification of Krasnoselskii’s fixed point theorem introduced by T. A. Burton ([4], Theorem 3) to show the existence and positivity of solutions of the equation.
We study the existence and positivity of solutions of a highly nonlinear periodic differential equation. In the process we convert the differential equation into an equivalent integral equation after which appropriate mappings are constructed. We then employ a modification of Krasnoselskii’s fixed point theorem introduced by T. A. Burton ([4], Theorem 3) to show the existence and positivity of solutions of the equation.
DOI : 10.5817/AM2012-4-261
Classification : 34A12, 34A37, 39A05
Keywords: fixed point; large contraction; periodic solution; positive solution 
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Yankson, Ernest. Existence and positivity of solutions for a nonlinear periodic differential equation. Archivum mathematicum, Tome 48 (2012) no. 4, pp. 261-270. doi: 10.5817/AM2012-4-261

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