SUCCESSIVE ITERATIONS FOR POSITIVE EXTREMAL SOLUTIONS OF BOUNDARY VALUE PROBLEMS ON THE HALF-LINE

被引：0

作者：

Ghiatou, Siham ^{[1
]}

Graef, John R. ^{[2
]}

Moussaoui, Toufik ^{[3
]}

机构：

[1] Univ Djillali Liabes Sidi Bel Abbes, Sidi Bel Abbes, Algeria

[2] Univ Tennessee, Dept Math, Chattanooga, TN 37403 USA

[3] Ecole Normale Super, Lab Fixed Point Theory & Applicat, Algiers, Algeria

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2023年 / 13卷 / 06期

关键词：

Iterative methods; Green's function; fixed point; boundary value problems; positive solution; operators on a cone; 2ND-ORDER; EXISTENCE; EQUATIONS; BVPS;

D O I：

10.11948/20220531

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The authors study the existence of positive extremal solutions to the differential equation -u(n) + lambda u = a (t) f (t, u(t)), t is an element of I, subject to the boundary conditionsu (0) = u (infinity) = 0,where I = (0, infinity), f : R+ x R+ -> R+ is continuous, a : I -> R+, and lambda > 0 is a parameter. Their results are obtained by using the monotone iterative method and are illustrated with an example.

引用

页码：3158 / 3165

页数：8

共 50 条

[1] SUCCESSIVE ITERATIONS FOR POSITIVE EXTREMAL SOLUTIONS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS ON A HALF-LINE
Zhang, Lihong
Ahmad, Bashir
Wang, Guotao
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2015, 91 (01) : 116 - 128
[2] On positive solutions of boundary value problems on the half-line
Zima, M
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 259 (01) : 127 - 136
[3] Positive solutions of singular boundary value problems on the half-line
Wang, Ying
Liu, Lishan
Wu, Yonghong
APPLIED MATHEMATICS AND COMPUTATION, 2008, 197 (02) : 789 - 796
[4] Successive iteration and positive solutions of a fractional boundary value problem on the half-line
Xie, Wenzhe
Luo, Zhiguo
Xiao, Jing
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[5] Successive iteration and positive solutions of a fractional boundary value problem on the half-line
Wenzhe Xie
Zhiguo Luo
Jing Xiao
Advances in Difference Equations, 2013
[6] On the existence of positive solutions for singular boundary value problems on the half-line
Sun, Yan
Sun, Yongping
Debnath, Lokenath
APPLIED MATHEMATICS LETTERS, 2009, 22 (05) : 806 - 812
[7] Existence and unboundedness of positive solutions for singular boundary value problems on half-line
Liu, YS
APPLIED MATHEMATICS AND COMPUTATION, 2003, 144 (2-3) : 543 - 556
[8] Positive Solutions for Some Semipositone Fractional Boundary Value Problems on the Half-Line
Bachar, Imed
FRACTAL AND FRACTIONAL, 2023, 7 (11)
[9] Solutions of impulsive boundary value problems on the half-line
Liu, XY
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 222 (02) : 411 - 430
[10] Positive solution of singular boundary value problems on a half-line
Wei Z.-L.
Chen S.-Z.
Acta Mathematicae Applicatae Sinica, 2005, 21 (4) : 553 - 564

← 1 2 3 4 5 →