Existence of multiple positive solutions for p-Laplacian multipoint boundary value problems on time scales

被引：17

作者：

Dogan, Abdulkadir ^{[1
]}

机构：

[1] Abdullah Gul Univ, Dept Appl Math, Fac Comp Sci, TR-38039 Kayseri, Turkey

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2013年

关键词：

time scales; boundary value problem; p-Laplacian; positive solutions; fixed point theorem; SIGN CHANGING NONLINEARITY; M-POINT BVP; DYNAMIC EQUATIONS; INCREASING HOMEOMORPHISM; HOMOMORPHISM;

D O I：

10.1186/1687-1847-2013-238

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider p-Laplacian multipoint boundary value problems on time scales. By using a generalization of the Leggett-Williams fixed point theorem due to Bai and Ge, we prove that a boundary value problem has at least three positive solutions. Moreover, we study existence of positive solutions of a multipoint boundary value problem for an increasing homeomorphism and homomorphism on time scales. By using fixed point index theory, sufficient conditions for the existence of at least two positive solutions are provided. Examples are given to illustrate the results. MSC: 34B15, 34B16, 34B18, 39A10.

引用

页数：23

共 50 条

[1] Existence of multiple positive solutions for p-Laplacian multipoint boundary value problems on time scales
Abdulkadir Dogan
[J]. Advances in Difference Equations, 2013
[2] Existence of Positive Solutions for Multipoint Boundary Value Problem with p-Laplacian on Time Scales
Zhang, Meng
Sun, Shurong
Han, Zhenlai
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2009,
[3] Existence of positive solutions for p-Laplacian impulsive boundary value problems on time scales
Fatma Tokmak
Ilkay Y Karaca
[J]. Journal of Inequalities and Applications, 2014
[4] Existence of positive solutions for p-Laplacian impulsive boundary value problems on time scales
Tokmak, Fatma
Karaca, Ilkay Y.
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[5] The existence of multiple positive solutions of p-Laplacian boundary value problems
Yuji, Liu
[J]. MATHEMATICA SLOVACA, 2007, 57 (03) : 225 - 242
[6] Existence of multiple positive solutions for multipoint boundary value problems with a one-dimensional p-Laplacian
Wang, Youyu
Ge, Weigao
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (02) : 476 - 485
[7] Existence of positive solutions for p-Laplacian three-point boundary value problems on time scales
Guo, Mingzhou
[J]. MATHEMATICAL AND COMPUTER MODELLING, 2009, 50 (1-2) : 248 - 253
[8] ON THE EXISTENCE OF POSITIVE SOLUTIONS FOR THE ONE-DIMENSIONAL p-LAPLACIAN BOUNDARY VALUE PROBLEMS ON TIME SCALES
Dogan, Abdulkadir
[J]. DYNAMIC SYSTEMS AND APPLICATIONS, 2015, 24 (03): : 295 - 303
[9] Existence of Positive Solutions to a Nonlocal Boundary Value Problem with p-Laplacian on Time Scales
Sun, Ting-Ting
Wang, Lin-Lin
Fan, Yong-Hong
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2010,
[10] MULTIPLE POSITIVE SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR P-LAPLACIAN IMPULSIVE DYNAMIC EQUATIONS ON TIME SCALES
Karaca, Ilkay Yaslan
Ozen, Ozlem Batit
Tokmak, Fatma
[J]. FIXED POINT THEORY, 2014, 15 (02): : 475 - 486

← 1 2 3 4 5 →