Geodesic
On a nonlinear second order periodic boundaryvalue problem with Carathéodory functions
Annales Polonici Mathematici, Tome 62 (1995) no. 3, pp. 283-291

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The periodic boundary value problem u''(t) = f(t,u(t),u'(t)) with u(0) = u(2π) and u'(0) = u'(2π) is studied using the generalized method of upper and lower solutions, where f is a Carathéodory function satisfying a Nagumo condition. The existence of solutions is obtained under suitable conditions on f. The results improve and generalize the work of M.-X. Wang et al. [5].
DOI : 10.4064/ap-62-3-283-291
Keywords: two-point boundary value problems, upper and lower solutions, Nagumo condition, existence, Carathéodory functions

Wenjie Gao 1 ; Junyu Wang 1

1 
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Wenjie Gao; Junyu Wang. On a nonlinear second order periodic boundaryvalue problem with Carathéodory functions. Annales Polonici Mathematici, Tome 62 (1995) no. 3, pp. 283-291. doi: 10.4064/ap-62-3-283-291

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