MULTIPLE SOLUTIONS FOR A CLASS OF IMPULSIVE PERTURBED STURM-LIOUVILLE DIFFERENTIAL EQUATIONS WITH NONLINEAR DERIVATIVE DEPENDENCE

被引：2

作者：

Heidarkhani, Shapour ^{[1
]}

机构：

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

来源：

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2021年

关键词：

Critical point theory; Impulsive perturbed differential equation; Multiple solutions; Variational methods; BOUNDARY-VALUE PROBLEM; POSITIVE SOLUTIONS; ELLIPTIC PROBLEMS; P-LAPLACIAN; SYSTEMS; THEOREM;

D O I：

10.23952/jnfa.2021.37

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the existence of infinitely many positive solutions to a class of impulsive perturbed Sturm-Liouville differential equations with nonlinear derivative dependence. The existence of three positive solutions is also established. The approaches are based on multiple critical points theorems.

引用

页数：21

共 28 条

[1] Three solutions for a quasilinear boundary value problem [J].

Afrouzi, G. A. ;

Heidarkhani, S. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (10) :3330-3336

[2]

[Anonymous], 1989, ELLIS HORWOOD SERIES

[3] Three solutions for a quasilinear two-point boundary-value problem involving the one-dimensional p-laplacian [J].

Averna, D ;

Bonanno, G .

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2004, 47 :257-270

[4]

AVERNA D., 2003, Topol. Methods Nonlinear Anal. TMA, V22, P93

[5] A MOUNTAIN PASS THEOREM FOR A SUITABLE CLASS OF FUNCTIONS [J].

Averna, Diego ;

Bonanno, Gabriele .

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2009, 39 (03) :707-727

[6] Three solutions for a p-Laplacian boundary value problem with impulsive effects [J].

Bai, Liang ;

Dai, Binxiang .

APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (24) :9895-9904

[7] Existence and multiplicity of solutions for an impulsive boundary value problem with a parameter via critical point theory [J].

Bai, Liang ;

Dai, Binxiang .

MATHEMATICAL AND COMPUTER MODELLING, 2011, 53 (9-10) :1844-1855

[8] Non-differentiable functionals and applications to elliptic problems with discontinuous nonlinearities [J].

Bonanno, Gabriele ;

Candito, Pasquale .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 244 (12) :3031-3059

[9] Multiplicity Results for a Perturbed Elliptic Neumann Problem [J].

Bonanno, Gabriele ;

D'Agui, Giuseppina .

ABSTRACT AND APPLIED ANALYSIS, 2010,

[10] Infinitely Many Solutions for a Boundary Value Problem with Discontinuous Nonlinearities [J].

Bonanno, Gabriele ;

Bisci, Giovanni Molica .

BOUNDARY VALUE PROBLEMS, 2009,

← 1 2 3 →