Unbounded solutions of third order three-point boundary value problems on a half-line
Küçük Resim Yok
Tarih
2016
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Walter De Gruyter Gmbh
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We consider the following third order three-point boundary value problem on a half-line: x '''(t) + q(t)f(t, x(t), x'(t), x ''(t)) = 0, t is an element of (0, +infinity), x '(0) = A, x(eta) = B, x ''(+infinity) = C, where eta is an element of (0, +infinity), but fixed, and f : [0, +infinity) x R-3 -> R satisfies Nagumo's condition. We apply Schauder's fixed point theorem, the upper and lower solution method, and topological degree theory, to establish existence theory for at least one unbounded solution, and at least three unbounded solutions. To demonstrate the usefulness of our results, we illustrate two examples.
Açıklama
Anahtar Kelimeler
Three-point boundary value problem, lower and upper solutions, half-line, Schauder's fixed point theorem, topological degree theory
Kaynak
Advances in Nonlinear Analysis
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
5
Sayı
2
