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EIGENVALUE CHARACTERIZATION FOR A SYSTEM OF THIRD-ORDER GENERALIZED RIGHT FOCAL PROBLEMS

机译:一类三阶广义右焦点问题的特征值表征

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摘要

We consider the following system of third-order three-point generalized right focal boundary value problems, u"(t) = λf{sub}i(t, u{sub}1(t), u{sub}2(t))···, u{sub}n(t)), t ∈ [ab], u{sub}i(a) = u{sub}i'(t{sub}i) = 0, γ{sub}iu{sub}i(b) + δ{sub}iu{sub}i"(b) = 0,. where λ > 0, i = 1,2, ···, n, a < t{sub}i < 6, γ{sub}i ≥ 0 and δ{sub}i > 0. Criteria will be developed so that the above system has a constant-sign solution for values of A that form an interval (bounded or unbounded). Explicit intervals for such A will also be presented.
机译:我们考虑以下系统的三阶三点广义右焦点边界值问题,u“(t)=λf{sub} i(t,u {sub} 1(t),u {sub} 2(t) )···,u {sub} n(t)),t∈[ab],u {sub} i(a)= u {sub} i'(t {sub} i)= 0,γ{sub} iu {sub} i(b)+δ{sub} iu {sub} i“(b)= 0,。其中λ> 0,i = 1,2,···,n,a 0。将制定标准,以便上面的系统对A值形成一个区间(有界或无界)有一个常数符号解。还将显示此类A的明确间隔。

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