Bifurcation and Nodal Solutions for the Half-Linear Problems with Nonasymptotic Nonlinearity at 0 and ∞
We study the existence of nodal solutions for the following problem: -x″=αx++βx-+ra(t)f(x), 0<t<1, x(0)=x(1)=0, where r≠0 is a parameter, a(t)∈C([0,1],(0,∞)) with a(t)≢0 on any subinterval of [0,1], x+=max{x,0},x-=-min{x,0}, and α,β∈C[0,1]; f∈C(R,R), sf(s)>0 for s≠0, and f0,f∞∉(0,∞), where...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/2386287 |
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