Multiple Solutions of Generalized Multipoint Conjugate Boundary Value Problems
نویسندگان
چکیده
We consider the boundary value problem y(n)(t) = P (t, y), t ∈ (0, 1) y(ti) = 0, j = 0, . . . , ni − 1, i = 1, . . . , r, where r ≥ 2, ni ≥ 1 for i = 1, . . . , r, ∑r i=1 ni = n and 0 = t1 < t2 < · · · < tr = 1. Criteria are offered for the existence of double and triple ‘positive’ (in some sense) solutions of the boundary value problem. Further investigation on the upper and lower bounds for the norms of these solutions is carried out for special cases. We also include several examples to illustrate the importance of the results obtained.
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