Multiplicity of Solutions of Dirichlet Second Order Boundary Value Problems with Derivative Dependance

Baoqiang Yan; Donal O’Regan; Ravi P. Agarwal

doi:10.1007/s12591-020-00535-7

Multiplicity of Solutions of Dirichlet Second Order Boundary Value Problems with Derivative Dependance

Baoqiang Yan
, Donal O’Regan
, Ravi P. Agarwal

Mathematics

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

Abstract

In this paper we present some theorems on the multiplicity of fixed points of some operators on a special wedge and using these results we consider {x″+f(t,x,x′)=0,t∈(0,1)x(0)=0,x(1)=0 and establish the existence of multiple solutions.

Original language	English
Pages (from-to)	805-826
Number of pages	22
Journal	Differential Equations and Dynamical Systems
Volume	31
Issue number	4
DOIs	https://doi.org/10.1007/s12591-020-00535-7
Publication status	Published - Oct 2023

Keywords

Boundary value problems
Cone
Convex functional
Fixed point
Wedge

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Yan, BQ;O'Regan, D;Agarwal, RP

Access to Document

10.1007/s12591-020-00535-7

Cite this

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title = "Multiplicity of Solutions of Dirichlet Second Order Boundary Value Problems with Derivative Dependance",

abstract = "In this paper we present some theorems on the multiplicity of fixed points of some operators on a special wedge and using these results we consider \{x″+f(t,x,x′)=0,t∈(0,1)x(0)=0,x(1)=0 and establish the existence of multiple solutions.",

keywords = "Boundary value problems, Cone, Convex functional, Fixed point, Wedge",

author = "Baoqiang Yan and Donal O{\textquoteright}Regan and Agarwal, \{Ravi P.\}",

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AU - Agarwal, Ravi P.

PY - 2023/10

Y1 - 2023/10

N2 - In this paper we present some theorems on the multiplicity of fixed points of some operators on a special wedge and using these results we consider {x″+f(t,x,x′)=0,t∈(0,1)x(0)=0,x(1)=0 and establish the existence of multiple solutions.

AB - In this paper we present some theorems on the multiplicity of fixed points of some operators on a special wedge and using these results we consider {x″+f(t,x,x′)=0,t∈(0,1)x(0)=0,x(1)=0 and establish the existence of multiple solutions.

KW - Boundary value problems

KW - Cone

KW - Convex functional

KW - Fixed point

KW - Wedge

UR - https://www.scopus.com/pages/publications/85086725344

U2 - 10.1007/s12591-020-00535-7

DO - 10.1007/s12591-020-00535-7

M3 - Article

SN - 0971-3514

VL - 31

SP - 805

EP - 826

JO - Differential Equations and Dynamical Systems

JF - Differential Equations and Dynamical Systems

IS - 4

ER -

Multiplicity of Solutions of Dirichlet Second Order Boundary Value Problems with Derivative Dependance

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

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