A symmetric solution of a multipoint boundary value problem at resonance
We apply a coincidence degree theorem of Mawhin to show the existence of at least one symmetric solution of the nonlinear second-order multipoint boundary value problem u″(t)=f(t,u(t),|u′(t)|),t∈(0,1), u(0)=∑i=1nμiu(ξi),u(1−t)=u(t),t∈[0,1], where 0<ξ1<ξ2<…<ξn≤1/2, ∑i=1nμi=1, f:[0,1]×ℝ2→ℝ...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2006-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/AAA/2006/54121 |