SOLVABILITY OF NEUMANN TYPE NON-HOMOGENEOUS MULTI-POINT BVP FOR SECOND ORDER DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN

被引：0

作者：

Liu, Yuji ^{[1
]}

机构：

[1] Guangdong Univ Business Studies, Dept Math, Guangzhou 510320, Guangdong, Peoples R China

来源：

ANALYSIS AND APPLICATIONS | 2009年 / 7卷 / 03期

关键词：

One-dimensional p-Laplacian differential equation; Neumann type multi-point boundary value problem; positive solution; BOUNDARY-VALUE-PROBLEMS; POSITIVE SOLUTIONS; EXISTENCE; RESONANCE;

D O I：

10.1142/S0219530509001402

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the following multi-point boundary value problems {[phi(x'(t))]' = f(t, x(t), x'(t)), t is an element of (0, 1), x'(0) - Sigma(m)(i-1) alpha(i)x'(xi(i)) - lambda(1), x'(1) - Sigma(m)(i=1) beta(i)x'(xi(i)) = lambda(2). New sufficient conditions to guarantee the existence of at least one solution of the above mentioned BVP are established. Two examples are presented to illustrate the main result.

引用

页码：279 / 295

页数：17

共 50 条

[1] Existence of three solutions to a non-homogeneous multi-point BVP of second order differential equations
Liu, Yuji
[J]. TURKISH JOURNAL OF MATHEMATICS, 2011, 35 (01) : 55 - 86
[2] Positive solutions of mixed type multi-point non-homogeneous BVPs for p-Laplacian equations
Liu, Yuji
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 206 (02) : 796 - 805
[3] NON-HOMOGENEOUS BOUNDARY-VALUE PROBLEMS OF HIGHER ORDER DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN
Liu, Yuji
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2008,
[4] STUDIES ON A MULTI-POINT BOUNDARY VALUE PROBLEM FOR SECOND ORDER DIFFERENTIAL EQUATION WITH p-LAPLACIAN
Liu, Xingyuan
Liu, Yuji
[J]. MATHEMATICA SLOVACA, 2009, 59 (06) : 753 - 766
[5] Non-homogeneous p-Laplacian equations on the Sierpinski gasket
Sahu, Abhilash
Prasad, M. Guru Prem
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (06) : 6545 - 6557
[6] NOTE ON MULTIPLE POSITIVE SOLUTIONS TO NON-HOMOGENOUS MULTI-POINT BVPS FOR SECOND ORDER p-LAPLACIAN EQUATIONS
Xingyuan Liu
[J]. Annals of Applied Mathematics, 2010, (01) : 30 - 44
[7] Three positive solutions of nonhomogeneous multi-point BVPs for second order p-Laplacian functional difference equations
Liu Y.
[J]. Journal of Applied Mathematics and Computing, 2009, 29 (1-2) : 437 - 460
[8] Fractional p-Laplacian differential equations with multi-point boundary conditions in Banach spaces
Srivastava, H. M.
Abbas, Mohamed I.
Boutiara, Abdellatif
Hazarika, Bipan
[J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2023, 117 (02)
[9] Fractional p-Laplacian differential equations with multi-point boundary conditions in Banach spaces
H. M. Srivastava
Mohamed I. Abbas
Abdellatif Boutiara
Bipan Hazarika
[J]. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2023, 117
[10] An index classification theory of homogeneous p-Laplacian equations and existence of solutions of non-homogeneous equations
Shi, Beibei
Dong, Yujun
Huang, Qi
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2007, 137 : 183 - 194

← 1 2 3 4 5 →