A symmetric solution of a multipoint boundary value problem at resonance
Keyword(s):
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 problemu″(t)=f(t,u(t),|u′(t)|),t∈(0,1),u(0)=∑i=1nμiu(ξi),u(1−t)=u(t),t∈[0,1], where0<ξ1<ξ2<…<ξn≤1/2,∑i=1nμi=1,f:[0,1]×ℝ2→ℝwithf(t,x,y)=f(1−t,x,y),(t,x,y)∈[0,1]×ℝ2, satisfying the Carathéodory conditions.
2017 ◽
Vol 2017
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pp. 1-6
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2018 ◽
Vol Volume-2
(Issue-3)
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pp. 623-626
2015 ◽
Vol 34
(3)
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pp. 259-266
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2006 ◽
Vol 2006
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pp. 1-11
2011 ◽
Vol 2011
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pp. 1-14
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