In:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, Cambridge University Press (CUP), Vol. 142, No. 6 ( 2012-12), p. 1263-1277
Abstract:
We consider the T -periodic problem where g : [0,T]×] 0,+∞[→ℝ exhibits a singularity of a repulsive type at the origin, and an asymptotically linear behaviour at infinity. In particular, for large x, g(t, x) is controlled from both sides by two consecutive asymptotes of the T -periodic Fučik spectrum, with possible equality on one side. Using a suitable Landesman–Lazer-type condition, we prove the existence of a solution.
Type of Medium:
Online Resource
ISSN:
0308-2105
,
1473-7124
DOI:
10.1017/S0308210511000151
Language:
English
Publisher:
Cambridge University Press (CUP)
Publication Date:
2012
detail.hit.zdb_id:
209230-X
detail.hit.zdb_id:
2036780-6
SSG:
11
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