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Positive Solutions for a Fourth-Order Riemann–Stieltjes Integral Boundary Value Problem
Joint Authors
O'Regan, Donal
Xu, Jiafa
Cui, Yujun
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-12-18
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In this paper, we use the fixed point index to study the existence of positive solutions for the fourth-order Riemann–Stieltjes integral boundary value problem −x4t=ft,xt,x′t,x″t,x″′t, t∈0,1x0=x′0=x″′1=0,x″0=αx″t, where f: 0,1×ℝ+×ℝ+×ℝ+×ℝ+⟶ℝ+ is a continuous function and αx″ denotes a linear function.
Two existence theorems are obtained with some appropriate inequality conditions on the nonlinearity f, which involve the spectral radius of related linear operators.
These conditions allow ft,z1,z2,z3,z4 to have superlinear or sublinear growth in zi, i=1,2,3,4.
American Psychological Association (APA)
Cui, Yujun& O'Regan, Donal& Xu, Jiafa. 2019. Positive Solutions for a Fourth-Order Riemann–Stieltjes Integral Boundary Value Problem. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1195262
Modern Language Association (MLA)
Cui, Yujun…[et al.]. Positive Solutions for a Fourth-Order Riemann–Stieltjes Integral Boundary Value Problem. Mathematical Problems in Engineering No. 2019 (2019), pp.1-12.
https://search.emarefa.net/detail/BIM-1195262
American Medical Association (AMA)
Cui, Yujun& O'Regan, Donal& Xu, Jiafa. Positive Solutions for a Fourth-Order Riemann–Stieltjes Integral Boundary Value Problem. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1195262
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1195262