EXISTENCE OF THREE SOLUTIONS FOR A MIXED BOUNDARY VALUE PROBLEM WITH THE STURM-LIOUVILLE EQUATION

被引：14
|
作者：
Averna, Diego [1 ]
Giovannelli, Nicolo [2 ]
Tornatore, Elisabetta [3 ]
机构：
[1] Univ Palermo, Fac Sci, Dipartimento Matemat & Informat, I-90123 Palermo, Italy
[2] Univ Palermo, Dipartimento Metodi & Modelli Matemat, Fac Ingn, I-90128 Palermo, Italy
[3] Univ Palermo, Dipartimento DIEETCAM, Fac Ingn, I-90128 Palermo, Italy
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2012年 / 49卷 / 06期
关键词：
boundary value problem; mixed conditions;
D O I：
10.4134/BKMS.2012.49.6.1213
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to establish the existence of three solutions for a Sturm-Liouville mixed boundary value problem. The approach is based on multiple critical points theorems.
引用
收藏
页码：1213 / 1222
页数：10
相关论文
共 50 条
  • [1] Existence results for a mixed boundary value problem with Sturm-Liouville equation
    D'Agui, Giuseppina
    [J]. ADVANCES IN PURE AND APPLIED MATHEMATICS, 2011, 2 (02) : 237 - 248
  • [2] Existence and multiplicity of weak solutions for a Neumann boundary value problem with the Sturm-Liouville equation
    Ranjkesh, Mehrnoush
    Afrouzi, Ghasem Alizadeh
    Khademloo, Somayeh
    [J]. ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2020, 47 (02): : 267 - 275
  • [3] The Existence of Positive Solutions for Boundary Value Problem of the Fractional Sturm-Liouville Functional Differential Equation
    Li, Yanan
    Sun, Shurong
    Han, Zhenlai
    Lu, Hongling
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [4] EXISTENCE AND MULTIPLICITY RESULTS FOR A MIXED STURM-LIOUVILLE TYPE BOUNDARY VALUE PROBLEM
    Hadjian, Armin
    Shakeri, Saleh
    [J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2016, 78 (02): : 49 - 66
  • [5] Existence of Solutions for Sturm-Liouville Boundary Value Problem of Impulsive Differential Equations
    Sun, Hong-Rui
    Li, Ya-Ning
    Nieto, Juan J.
    Tang, Qing
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [6] The Existence of Positive Solutions for Sturm-liouville Boundary Value Problem with Strong Singularity
    Li Pengsong
    Xie Jisheng
    Ai Shu
    Chen Shuji
    [J]. 2012 INTERNATIONAL CONFERENCE ON FUTURE ELECTRICAL POWER AND ENERGY SYSTEM, PT A, 2012, 17 : 103 - 111
  • [7] A Neumann boundary value problem for the Sturm-Liouville equation
    Bonanno, Gabriele
    D'Agui, Giuseppina
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 208 (02) : 318 - 327
  • [8] The existence of positive solutions for the Sturm-Liouville boundary value problems
    Agarwal, RP
    Hong, HL
    Yeh, CC
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1998, 35 (09) : 89 - 96
  • [9] Existence of positive solutions for the Sturm-Liouville boundary value problems
    Agarwal, R.P.
    Hong, Huei-Lin
    Yeh, Cheh-Chih
    [J]. Computers and Mathematics with Applications, 1998, 35 (09): : 89 - 96
  • [10] The existence of solutions for Sturm-Liouville differential equation with random impulses and boundary value problems
    Li, Zihan
    Shu, Xiao-Bao
    Miao, Tengyuan
    [J]. BOUNDARY VALUE PROBLEMS, 2021, 2021 (01)
12345