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Multiple positive solutions for time scale boundary value problems on infinite intervals. (English) Zbl 1169.39007

Consider the time-scale boundary value problems

(ϕ p (u Δ (t))) +q(t)f(u(t),u Δ (t))=0,t(0,) T
u(0)=βu Δ (η),lim t𝕋,t u Δ (t)=0,

where 𝕋 is a time scale. By means of Leggett-Williams fixed point theorem, the authors establish sufficient conditions that guarantee the existence of at least three positive solutions to the above boundary value problem.


MSC:
39A11Stability of difference equations (MSC2000)
39A12Discrete version of topics in analysis
34B15Nonlinear boundary value problems for ODE
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