The Lower and Upper Solution Method for Three-Point Boundary Value Problems with Integral Boundary Conditions on a Half-Line
Küçük Resim Yok
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis, Fac Sci Math
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This paper deal with the following second-order three-point boundary value problem with integral boundary condition on a half-line u ''(x) + q(x) f(x, u(x), u' (x)) = 0, x is an element of(0, +infinity), u(0) = lambda integral(eta)(0) u(s)ds, u'(+infinity) = C, where lambda > 0, 0 < lambda(eta) < 1 and f : [0; +infinity) X R-2 -> R satisfies a Nagumo's condition which plays an important role in the nonlinear term depend on the first-order derivative explicitly. By using Schauder's fixed point theorem, the upper and lower solution method and topological degree theory, first we give sufficient conditions for the existence of at least one solution and next at least three solutions of the above problem. Moreover, an example is included to demonstrate the efficiency of the main results.
Açıklama
Anahtar Kelimeler
Infinite interval problems, Lower and upper solutions, Schauder's fixed point theorem, Topological degree theory, Integral boundary condition
Kaynak
Filomat
WoS Q Değeri
Q2
Scopus Q Değeri
Cilt
32
Sayı
1
