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

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