EXISTENCE OF SOLUTIONS TO THIRD-ORDER m-POINT BOUNDARY-VALUE PROBLEMS
نویسندگان
چکیده
This paper concerns the third-orderm-point boundary-value problem u′′′(t) + f(t, u(t), u′(t), u′′(t)) = 0, a.e. t ∈ (0, 1), u(0) = u′(0) = 0, u′′(1) = m−2 X i=1 kiu (ξi), where f : [0, 1] × R3 → R is Lp-Carathéodory, 1 ≤ p < +∞, 0 = ξ0 < ξ1 < · · · < ξm−2 < ξm−1 = 1, ki ∈ R (i = 1, 2, . . . ,m− 2) and Pm−2 i=1 ki 6= 1. Some criteria for the existence of at least one solution are established by using the well-known Leray-Schauder Continuation Principle.
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تاریخ انتشار 2008