Existence of positive solutions for the system of higher order two-point boundary value problems

被引：8

作者：

Prasad, K. R. ^{[1
]}

Rao, A. Kameswara ^{[2
]}

Rao, S. Nageswara ^{[3
]}

机构：

[1] Andhra Univ, Dept Appl Math, Visakhapatnam 530003, Andhra Pradesh, India

[2] Gayatri Vidya Parishad Coll Engn Women, Dept Math, Visakhapatnam 530048, Andhra Pradesh, India

[3] Sri Prakash Coll Engn, Dept Math, Tuni 533401, India

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2012年 / 122卷 / 01期

关键词：

System of boundary value problem; positive solutions; cone;

D O I：

10.1007/s12044-012-0051-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish the existence of at least one and two positive solutions for the system of higher order boundary value problems by using the Krasnosel'skii fixed point theorem.

引用

页码：139 / 152

页数：14

共 50 条

[31] HIGHER ORDER TWO-POINT BOUNDARY VALUE PROBLEMS WITH ASYMMETRIC GROWTH
Minhos, F.
Santos, A., I
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2008, 1 (01): : 127 - 137
[32] Existence and multiplicity for a system of fractional higher-order two-point boundary value problem
Rao S.N.
Journal of Applied Mathematics and Computing, 2016, 51 (1-2) : 93 - 107
[33] Triple positive solutions of a class of fourth-order two-point boundary value problems
Yang, Yun-Rui
APPLIED MATHEMATICS LETTERS, 2010, 23 (04) : 366 - 370
[34] Successive Iteration of Positive Solutions for Fourth-Order Two-Point Boundary Value Problems
Sun, Yongping
Zhang, Xiaoping
Zhao, Min
ABSTRACT AND APPLIED ANALYSIS, 2013,
[35] Multiple positive solutions for nonlinear third order general two-point boundary value problems
Prasad, K. R.
Rao, A. Kameswara
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2009, (09) : 1 - 17
[36] Multiple positive solutions of nonlinear two-point boundary value problems
Liu, ZL
Li, FY
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 203 (03) : 610 - 625
[37] On existence of positive solutions of a two-point boundary value problem for a nonlinear singular semipositone system
Liu, Lishan
Zhang, Xinguang
Wu, Yonghong
APPLIED MATHEMATICS AND COMPUTATION, 2007, 192 (01) : 223 - 232
[38] Existence and iteration of monotone positive solutions for a third-order two-point boundary value problem
Sun Yong-ping
APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2008, 23 (04) : 413 - 419
[39] Existence and iteration of monotone positive solutions for a third-order two-point boundary value problem
Yong-ping Sun
Applied Mathematics-A Journal of Chinese Universities, 2008, 23 : 413 - 419
[40] Existence and iteration of monotone positive solutions for a third-order two-point boundary value problem
SUN Yong-ping School of Electronics and Information
AppliedMathematics:AJournalofChineseUniversities(SeriesB), 2008, (04) : 413 - 419

← 1 2 3 4 5 →