Existence of positive solutions for a p-Laplacian equation with applications to Hematopoiesis

被引：1

作者：

Padhi, Seshadev ^{[1
]}

Ali, Jaffar ^{[2
]}

Kanaujiya, Ankur ^{[3
]}

Mohapatra, Jugal ^{[3
]}

机构：

[1] Birla Inst Technol, Dept Math, Ranchi, India

[2] Florida Gulf Coast Univ, Dept Math, Ft Myres, FL USA

[3] Natl Inst Technol Rourkela, Dept Math, Rourkela, India

来源：

JOURNAL OF MATHEMATICAL MODELING | 2022年 / 10卷 / 02期

关键词：

Fixed point; positive solution; p-Laplacian; non-local boundary conditions; boundary value problem; BOUNDARY-VALUE PROBLEM;

D O I：

10.22124/jmm.2021.19445.1670

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the existence of at least one positive solution for a boundary value problem (BVP), with p-Laplacian, of the form (Phi(p)(x'))' +g(t) f (t,x) t , x ) = 0 , t is an element of (0,1), x ( 0 ) - ax ' ( 0 ) = a[x], x ( 1 )+ bx ' ( 1 ) = beta[x], where Phi(p)(x) p ( x ) = | x | (p - 2 )x is a one dimensional p-Laplacian operator with p> > 1, , a, , b are real constants and a, , beta are the Riemann-Stieltjes integrals a[ x ] = integral( 1)(0) Z x ( t ) dA ( t ) , beta [x] = integral( 1)(0) x ( t ) dB ( t ) , with A and B are functions of bounded variation. A Homotopy version of Krasnosel'skii fixed point theorem is used to prove our results.

引用

页码：191 / 201

页数：11

共 14 条

[1] Three positive solutions for a generalized Laplacian boundary value problem with a parameter [J].