Positive Solutions for a nth-Order Impulsive Differential Equation with Integral Boundary Conditions

Jiafa Xu; Donal O’Regan; Zhilin Yang

doi:10.1007/s12591-013-0176-4

Positive Solutions for a nth-Order Impulsive Differential Equation with Integral Boundary Conditions

Jiafa Xu
, Donal O’Regan
, Zhilin Yang

Mathematics

Shandong University
Qingdao Technological University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

7 Citations (Scopus)

Abstract

In this paper we study the existence of positive solutions for the following nth-order impulsive boundary value problem (Formula presented.) have bounded variation). We use the Krasnoselskii–Zabreiko fixed point theorem to establish our main results. Furthermore, our nonlinear term f is allowed to grow superlinearly and sublinearly.

Original language	English
Pages (from-to)	427-439
Number of pages	13
Journal	Differential Equations and Dynamical Systems
Volume	22
Issue number	4
DOIs	https://doi.org/10.1007/s12591-013-0176-4
Publication status	Published - 1 Oct 2014

Keywords

Boundary value problem
Impulsive effect
Krasnoselskii–Zabreiko fixed point theorem
Positive solution
Riemann–Stieltjes integral

Access to Document

10.1007/s12591-013-0176-4

Cite this

@article{d9ca2baf52c249d588d0d95bfc269e1f,

title = "Positive Solutions for a nth-Order Impulsive Differential Equation with Integral Boundary Conditions",

abstract = "In this paper we study the existence of positive solutions for the following nth-order impulsive boundary value problem (Formula presented.) have bounded variation). We use the Krasnoselskii–Zabreiko fixed point theorem to establish our main results. Furthermore, our nonlinear term f is allowed to grow superlinearly and sublinearly.",

keywords = "Boundary value problem, Impulsive effect, Krasnoselskii–Zabreiko fixed point theorem, Positive solution, Riemann–Stieltjes integral",

author = "Jiafa Xu and Donal O{\textquoteright}Regan and Zhilin Yang",

note = "Publisher Copyright: {\textcopyright} 2013, Foundation for Scientific Research and Technological Innovation.",

year = "2014",

month = oct,

day = "1",

doi = "10.1007/s12591-013-0176-4",

language = "English",

volume = "22",

pages = "427--439",

journal = "Differential Equations and Dynamical Systems",

issn = "0971-3514",

publisher = "Springer International Publishing AG",

number = "4",

}

TY - JOUR

T1 - Positive Solutions for a nth-Order Impulsive Differential Equation with Integral Boundary Conditions

AU - Xu, Jiafa

AU - O’Regan, Donal

AU - Yang, Zhilin

PY - 2014/10/1

Y1 - 2014/10/1

N2 - In this paper we study the existence of positive solutions for the following nth-order impulsive boundary value problem (Formula presented.) have bounded variation). We use the Krasnoselskii–Zabreiko fixed point theorem to establish our main results. Furthermore, our nonlinear term f is allowed to grow superlinearly and sublinearly.

AB - In this paper we study the existence of positive solutions for the following nth-order impulsive boundary value problem (Formula presented.) have bounded variation). We use the Krasnoselskii–Zabreiko fixed point theorem to establish our main results. Furthermore, our nonlinear term f is allowed to grow superlinearly and sublinearly.

KW - Boundary value problem

KW - Impulsive effect

KW - Krasnoselskii–Zabreiko fixed point theorem

KW - Positive solution

KW - Riemann–Stieltjes integral

UR - https://www.scopus.com/pages/publications/84908085904

U2 - 10.1007/s12591-013-0176-4

DO - 10.1007/s12591-013-0176-4

M3 - Article

SN - 0971-3514

VL - 22

SP - 427

EP - 439

JO - Differential Equations and Dynamical Systems

JF - Differential Equations and Dynamical Systems

IS - 4

ER -

Positive Solutions for a nth-Order Impulsive Differential Equation with Integral Boundary Conditions

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this