The existence of positive solutions for p-Laplacian boundary value problems at resonance

被引：2

作者：

Jiang, Weihua ^{[1
]}

Qiu, Jiqing ^{[1
]}

Yang, Caixia ^{[1
]}

机构：

[1] Hebei Univ Sci & Technol, Coll Sci, Shijiazhuang 050018, Hebei, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2016年

关键词：

positive solutions; p-Laplacian operator; boundary value problem; resonance; Fredholm operator; FRACTIONAL DIFFERENTIAL-EQUATIONS; HOMOCLINIC SOLUTIONS; SOLVABILITY; KIND;

D O I：

10.1186/s13661-016-0680-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the Leggett-Williams norm-type theorem due to O'Regan and Zima and constructing suitable Banach spaces and operators, we investigate the existence of positive solutions for fractional p-Laplacian boundary value problems at resonance. An example is given to illustrate the main results.

引用

页数：9

共 30 条

[1]

[Anonymous], 1993, INTRO FRACTIONAL CA

[2] Existence of positive solutions for three-point boundary value problems at resonance [J].

Bai, CZ ;

Fang, JX .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 291 (02) :538-549

[3] Positive solutions of fractional differential equations at resonance on the half-line [J].

Chen, Yi ;

Tang, Xianhua .

BOUNDARY VALUE PROBLEMS, 2012,

[4] Homoclinic solutions for a kind of neutral differential systems [J].

Du, Bo .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (01) :168-175

[5] Some higher-order multi-point boundary value problem at resonance [J].

Du, ZJ ;

Lin, XJ ;

Ge, WG .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 177 (01) :55-65

[6] A symmetric solution of a multipoint boundary value problem with one-dimensional p-Laplacian at resonance [J].

Feng, Hanying ;

Lian, Hairong ;

Ge, Weigao .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (11) :3964-3972

[7] Solvability of m-point boundary value problems with nonlinear growth [J].

Feng, W ;

Webb, JRL .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 212 (02) :467-480

[8] An extension of Mawhin's continuation theorem and its application to boundary value problems with a p-Laplacain [J].

Ge, WG ;

Ren, JL .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 58 (3-4) :477-488

[9]

Hu L, 2015, J APPL MATHE COMPUT, V48, P519, DOI 10.1007/s12190-014-0816-z

[10] Positive solutions of multi-point boundary value problems at resonance [J].

Infante, Gennaro ;

Zima, Miroslawa .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (08) :2458-2465

← 1 2 3 →