Solutions for m-Point BVP with Sign Changing Nonlinearity
We study the existence of positive solutions for the following nonlinear m-point boundary value problem for an increasing homeomorphism and homomorphism with sign changing nonlinearity: {(ϕ(u′(t)))′+a(t)f(t,u(t))=0, 0<t<1, u′(0)=∑i=1m−2aiu′(ξi), u(1)=∑i=1kbiu(ξi)−∑i=k+1sbiu(ξi)−∑i=s+1m−...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2009/976406 |
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| Summary: | We study the existence of positive solutions for the following nonlinear m-point boundary value
problem for an increasing homeomorphism and homomorphism with sign changing nonlinearity:
{(ϕ(u′(t)))′+a(t)f(t,u(t))=0, 0<t<1,
u′(0)=∑i=1m−2aiu′(ξi), u(1)=∑i=1kbiu(ξi)−∑i=k+1sbiu(ξi)−∑i=s+1m−2biu′(ξi), where ϕ:R→R is an increasing homeomorphism and homomorphism and ϕ(0)=0. The nonlinear term f may
change sign. As an application, an example to demonstrate our results is given. The conclusions in this paper essentially extend and improve the known results. |
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| ISSN: | 1026-0226 1607-887X |