MULTIPLE SOLUTIONS FOR A NONLINEAR PERTURBED FRACTIONAL BOUNDARY VALUE PROBLEM

被引：0

作者：

Heidarkhani, Shapour ^{[1
]}

机构：

[1] Razi Univ, Fac Sci, Dept Math, Kermanshah 67149, Iran

来源：

DYNAMIC SYSTEMS AND APPLICATIONS | 2014年 / 23卷 / 2-3期

关键词：

Multiple solutions; perturbed fractional boundary value problem; critical point theory; variational methods; CRITICAL-POINT THEORY; DIFFERENTIAL-EQUATIONS; VARIATIONAL PRINCIPLE; ELLIPTIC PROBLEMS; EXISTENCE; THEOREM; ORDER;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of three distinct solutions for a nonlinear perturbed fractional boundary value problem under suitable assumptions on the nonlinear term is established. Our approach is based on recent variational methods for smooth functionals defined on reflexive Banach spaces.

引用

页码：317 / 331

页数：15

共 50 条

[1] INFINITELY MANY SOLUTIONS FOR A PERTURBED NONLINEAR FRACTIONAL BOUNDARY-VALUE PROBLEM
Bai, Chuanzhi
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
[2] Multiple positive solutions for the boundary value problem of a nonlinear fractional differential equation
Xu, Xiaojie
Jiang, Daqing
Yuan, Chengjun
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (10) : 4676 - 4688
[3] Infinitely many solutions for nonlinear perturbed fractional boundary value problems
Heidarkhani, Shapour
ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2014, 41 (01): : 88 - 103
[4] EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS FOR THE SYSTEM OF NONLINEAR FRACTIONAL ORDER BOUNDARY VALUE PROBLEM
Rao, Sabbavarapu Nageswara
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2016, 11 (02): : 81 - 92
[5] Multiple Solutions for a Nonlinear Fractional Boundary Value Problem via Critical Point Theory
Wang, Yang
Liu, Yansheng
Cui, Yujun
JOURNAL OF FUNCTION SPACES, 2017, 2017
[6] MULTIPLE SOLUTIONS OF A NONLINEAR BOUNDARY-VALUE PROBLEM
TROY, WC
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1989, 113 : 191 - 209
[7] Multiple Positive Solutions for Nonlinear Fractional Boundary Value Problems
Zhao, Daliang
Liu, Yansheng
SCIENTIFIC WORLD JOURNAL, 2013,
[8] Multiple Positive Solutions Of A Singular Fractional Boundary Value Problem
Xu, Jiafa
Yang, Zhilin
APPLIED MATHEMATICS E-NOTES, 2010, 10 : 259 - 267
[9] On the solutions of a fractional boundary value problem
Ugurlu, Ekin
Baleanu, Dumitru
Tas, Kenan
TURKISH JOURNAL OF MATHEMATICS, 2018, 42 (03) : 1307 - 1311
[10] Positive solutions for boundary value problem of Nonlinear fractional differential equation
El-Shahed, Moustafa
ABSTRACT AND APPLIED ANALYSIS, 2007,

← 1 2 3 4 5 →