Positive Solutions for System of First-Order Dynamic Equations
Keyword(s):
We study the existence of positive solutions to the system of nonlinear first-order periodic boundary value problems on time scalesxΔ(t)+P(t)x(σ(t))=F(t,x(σ(t))),t∈[0,T]T,x(0)=x(σ(T)), by using a well-known fixed point theorem in cones. Moreover, we characterize the eigenvalue intervals forxΔ(t)+P(t)x(σ(t))=λH(t)G(x(σ(t))),t∈[0,T]T,x(0)=x(σ(T)).
2008 ◽
Vol 56
(6)
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pp. 1496-1504
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2006 ◽
Vol 2006
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pp. 1-8
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2008 ◽
Vol 78
(1)
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pp. 1-11
1997 ◽
Vol 127
(5)
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pp. 975-981
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