Existence of solutions for some higher order boundary value problems

• Main Authors: Charkrit S., Kananthai A.
• Format: Article
• Language: English
• Published: 2014
• Online Access: http://www.scopus.com/inward/record.url?eid=2-s2.0-33846625267&partnerID=40&md5=8dc9544e4bf347577cfe4204b6fd0466; http://cmuir.cmu.ac.th/handle/6653943832/5257
• Institution: Chiang Mai University

In this paper, we are concerned with the existence of solutions for the higher order boundary value problem in the formu(2 m + 2) (x) = f (x, u (x), u″ (x), ..., u(2 m) (x)), x ∈ (0, 1),u(2 i) (0) = u(2 i) (1) = 0, 0 ≤ i ≤ m, where m is a given positive integer and f : [0, 1] × Rm + 1 → R is continu...