Variational techniques for a system of Sturm-Liouville equations

被引：2

作者：

Shokooh, Saeid ^{[1
]}

机构：

[1] Gonbad Kavous Univ, Fac Basic Sci, Dept Math, Gonbad Kavous, Iran

来源：

JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS | 2023年 / 9卷 / 01期

关键词：

Sixth order Sturm-Liouville equation; Multiplicity of solutions; Critical point; BOUNDARY-VALUE PROBLEM; POSITIVE SOLUTIONS; EXISTENCE;

D O I：

10.1007/s41808-023-00217-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we study a system of sixth order Sturm-Liouville equations with positive parameter ?. By exploiting the variational method and critical point theory, we show that if the control parameter ? is placed in an appropriate interval, our problem has one nontrivial weak solution. It should be noted that no symmetry assumption is used in the results.

引用

页码：595 / 610

页数：16

共 50 条

[1] Variational techniques for a system of Sturm–Liouville equations
Saeid Shokooh
Journal of Elliptic and Parabolic Equations, 2023, 9 : 595 - 610
[2] Three nonnegative solutions for Sturm-Liouville BVP and application to the complete Sturm-Liouville equations
Wang, Zhongqian
Zhang, Xuejun
Song, Mingliang
AIMS MATHEMATICS, 2023, 8 (03): : 6543 - 6558
[3] Systems of generalized Sturm-Liouville and Langevin fractional differential equations
Muensawat, Thanadon
Ntouyas, Sotiris K.
Tariboon, Jessada
ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[4] Variational approaches to systems of Sturm-Liouville boundary value problems
Heidarkhani, Shapour
Afrouzi, Ghasem A.
Moradi, Shahin
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2021, 14 (03)
[5] VARIATIONAL INEQUALITY FOR THE STURM-LIOUVILLE PROBLEM WITH DISCONTINUOUS NONLINEARITY
Potapov, D. K.
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2023, 20 (02): : 981 - 986
[6] A variational approach of Sturm-Liouville problems with the nonlinearity depending on the derivative
Afrouzi, Ghasem A.
Hadjian, Armin
Radulescu, Vicentiu D.
BOUNDARY VALUE PROBLEMS, 2015, : 1 - 17
[7] Two non-zero solutions for Sturm-Liouville equations with mixed boundary conditions
D'Agui, Giuseppina
Sciammetta, Angela
Tornatore, Elisabetta
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2019, 47 : 324 - 331
[8] Sturm-Liouville BVP in Banach space
Su, Hua
Liu, Lishan
Wang, Xinjun
ADVANCES IN DIFFERENCE EQUATIONS, 2011, : 1 - 12
[9] New results of positive solutions for the Sturm-Liouville problem
Yang, G. C.
Feng, H. B.
BOUNDARY VALUE PROBLEMS, 2016,
[10] OPTIMAL CONTROL PROBLEMS OF PARABOLIC FRACTIONAL STURM-LIOUVILLE EQUATIONS IN A STAR GRAPH
Leugering, Guenter
Mophou, Gisele
Moutamal, Maryse
Warma, Mahamadi
MATHEMATICAL CONTROL AND RELATED FIELDS, 2022, : 771 - 807

← 1 2 3 4 5 →