Multi-parameter fourth order impulsive integral boundary value problems with one-dimensional m-Laplacian and deviating arguments

被引：7

作者：

Feng, Meiqiang ^{[1
]}

Qiu, Jingliang ^{[1
]}

机构：

[1] Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年

关键词：

multi-parameter; impulsive integral boundary value problems with advanced and delayed arguments; inequality techniques and fixed point theories; one-dimensional m-Laplacian; existence and nonexistence of positive solutions; FUNCTIONAL-DIFFERENTIAL EQUATIONS; POSITIVE SOLUTIONS; BEAM EQUATIONS; P-LAPLACIAN; POPULATION-MODEL; EXISTENCE; TIME;

D O I：

10.1186/s13660-015-0587-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using inequality techniques and fixed point theories, several new and more general existence and multiplicity results are derived in terms of different values of lambda > 0 and mu > 0 for a fourth order impulsive integral boundary value problem with one-dimensional m-Laplacian and deviating arguments. We discuss our problems under two cases when the deviating arguments are delayed and advanced. Moreover, the nonexistence of a positive solution is also studied. In this paper, our results cover fourth order boundary value problems without deviating arguments and impulsive effect and are compared with some recent results by Jankowski.

引用

页码：1 / 22

页数：22

共 34 条

[11] Multiple solutions of some nonlinear fourth-order beam equations [J].

Han, Guodong ;

Xu, Zongben .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (12) :3646-3656

[12] Periodic boundary value problem for first-order impulsive ordinary differential equations [J].

He, ZM ;

Yu, JS .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 272 (01) :67-78

[13] Positive Solutions of One-Dimensional p-Laplacian Boundary Value Problems for Fourth-Order Differential Equations with Deviating Arguments [J].

Jankowski, T. .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2011, 149 (01) :47-60

[14]

Jankowski T, 2011, DYNAM SYST APPL, V20, P575

[15]

Kuang Y., 1993, Delay Differential Equations With Applications in Population Dynamics

[16] ON A PERIODIC DELAY POPULATION-MODEL [J].

LALLI, BS ;

ZHANG, BG .

QUARTERLY OF APPLIED MATHEMATICS, 1994, 52 (01) :35-42

[17] New comparison results for impulsive functional differential equations [J].

Li, Jianli ;

Shen, Jianhua .

APPLIED MATHEMATICS LETTERS, 2010, 23 (04) :487-493

[18] Periodic boundary value problems for first order functional differential equations with impulse [J].

Liu, Yansheng .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 223 (01) :27-39

[19] Further results on periodic boundary value problems for nonlinear first order impulsive functional differential equations [J].

Liu, Yuji .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 327 (01) :435-452

[20] Periodic boundary value problem for non-Lipschitzian impulsive functional differential equations [J].

Nieto, JJ ;

Rodríguez-López, R .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 318 (02) :593-610

← 1 2 3 4 →