Existence of solutions for fourth order three-point boundary value problems on a half-line
Küçük Resim Yok
Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Szeged, Bolyai Institute
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we apply Schauder's fixed point theorem, the upper and lower solution method, and topological degree theory to establish the existence of unbounded solutions for the following fourth order three-point boundary value problem on a half-line x''''(t) + q(t) f(t, x(t), x'(t), x ''(t), x'''(t)) = 0, t is an element of (0, +infinity), x ''(0) = A, x(eta) = B-1, x'(eta) = B-2, x'''(+infinity) = C, where eta is an element of (0, +infinity), but fixed, and f : [0, +infinity) x R-4 -> R satisfies Nagumo's condition. We present easily verifiable sufficient conditions for the existence of at least one solution, and at least three solutions of this problem. We also give two examples to illustrate the importance of our results.
Açıklama
Anahtar Kelimeler
three-point boundary value problem, lower and upper solutions, half-line, Schauder's fixed point theorem, topological degree theory
Kaynak
Electronic Journal of Qualitative Theory of Differential Equations
WoS Q Değeri
Q2
Scopus Q Değeri
N/A
Cilt
Sayı
62
