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Author ID: avery.richard-i Recent zbMATH articles by "Avery, Richard I."
Published as: Avery, Richard I.; Avery, Richard; Avery, R. I.; Avery, R.
Documents Indexed: 60 Publications since 1998
Co-Authors: 17 Co-Authors with 52 Joint Publications
1,501 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 1,072 times in 658 Documents Cited by Year
Three positive fixed points of nonlinear operators on ordered Banach spaces. Zbl 1005.47051
Avery, R. I.; Peterson, A. C.
174
2001
A generalization of the Leggett-Williams fixed point theorem. Zbl 0965.47038
Avery, Richard I.
114
1999
Three symmetric positive solutions for a second-order boundary value problem. Zbl 0961.34014
Avery, R. I.; Henderson, J.
93
2000
Two positive fixed points of nonlinear operators on ordered Banach spaces. Zbl 1014.47025
Avery, Richard I.; Henderson, Johnny
80
2001
Twin solutions of boundary value problems for ordinary differential equations and finite difference equations. Zbl 1006.34022
Avery, R. I.; Chyan, Chuan Jen; Henderson, J.
73
2001
Existence of three positive pseudo-symmetric solutions for a one dimensional \(p\)-Laplacian. Zbl 1028.34022
Avery, Richard; Henderson, Johnny
69
2003
Existence of solutions for a one dimensional \(p\)-Laplacian on time-scales. Zbl 1058.39010
Anderson, Douglas; Avery, Richard; Henderson, Johnny
63
2004
Three positive solutions to a discrete focal boundary value problem. Zbl 1001.39021
Anderson, D.; Avery, R.; Peterson, A.
40
1998
Existence of multiple positive solutions to a conjugate boundary value problem. Zbl 0960.34503
Avery, R.
33
1998
Fixed point theorem of cone expansion and compression of functional type. Zbl 1013.47019
Anderson, Douglas R.; Avery, Richard I.
33
2002
Multiple positive solutions to a third-order discrete focal boundary value problem. Zbl 1001.39022
Anderson, D.; Avery, R. I.
32
2001
Existence of three positive pseudo-symmetric solutions for a one dimensional discrete \(p\)-Laplacian. Zbl 1053.39003
Avery, Richard; Henderson, Johnny
29
2004
Existence of three positive solutions to a second-order boundary value problem on a measure chain. Zbl 1032.39009
Avery, Richard I.; Anderson, Douglas R.
26
2002
Three symmetric positive solutions for Lidstone problems by a generalization of the Leggett-Williams theorem. Zbl 0958.34020
Avery, Richard I.; Davis, John M.; Henderson, Johnny
26
2000
Multiple positive solutions of a discrete second order conjugate problem. Zbl 0959.39006
Avery, Richard I.; Peterson, Allan C.
24
1998
Fractional-order boundary value problem with Sturm-Liouville boundary conditions. Zbl 1320.34006
Anderson, Douglas R.; Avery, Richard I.
19
2015
Functional compression-expansion fixed point theorem. Zbl 1149.47042
Avery, Richard; Henderson, Johnny; O’Regan, Donal
18
2008
An even-order three-point boundary value problem on time scales. Zbl 1056.34013
Anderson, Douglas R.; Avery, Richard I.
18
2004
A fourth-order four-point right focal boundary value problem. Zbl 1137.34008
Anderson, Douglas R.; Avery, Richard I.
17
2006
Three positive solutions of a discrete second order conjugate problem. Zbl 0958.39024
Avery, Richard I.
15
1998
Four functionals fixed point theorem. Zbl 1187.34035
Avery, Richard; Henderson, Johnny; O’Regan, Donal
11
2008
Functional expansion-compression fixed point theorem of Leggett-Williams type. Zbl 1226.47054
Anderson, Douglas R.; Avery, Richard I.; Henderson, Johnny
11
2010
Multiple positive solutions of an \(n\)th order focal boundary value problem. Zbl 0960.34015
Avery, Richard I.
8
1998
An extension of the fixed point theorem of cone expansion and compression of functional type. Zbl 1109.47046
Avery, Richard I.; Anderson, Douglas R.; Krueger, Robert J.
7
2006
A topological proof and extension of the Leggett-Williams fixed point theorem. Zbl 1184.47024
Avery, Richard I.; Henderson, Johnny; Anderson, Douglas R.
6
2009
Existence of a positive solution to a right focal boundary value problem. Zbl 1202.34054
Avery, Richard I.; Henderson, Johny; Anderson, Douglas R.
5
2010
Operator type expansion-compression fixed point theorem. Zbl 1220.47071
Anderson, Douglas R.; Avery, Richard I.; Henderson, Johnny; Liu, Xueyan
5
2011
Some fixed point theorems of Leggett-Williams type. Zbl 1221.47098
Avery, Richard; Anderson, Douglas; Henderson, Johnny
5
2011
Existence and uniqueness of solutions to discrete diffusion equations. Zbl 1077.39014
Anderson, D. R.; Avery, R. I.; Davis, J. M.
5
2003
An extension of the compression-expansion fixed point theorem of functional type. Zbl 1362.47040
Avery, Richard I.; Anderson, Douglas R.; Henderson, Johnny
5
2016
Existence of a positive solution for a right focal discrete boundary value problem. Zbl 1234.39002
Anderson, D. R.; Avery, R. I.; Henderson, J.; Liu, X.; Lyons, J. W.
5
2011
A dual of the compression-expansion fixed point theorems. Zbl 1159.47028
Avery, Richard; Henderson, Johnny; O’Regan, Donal
4
2007
Six functionals fixed point theorem. Zbl 1161.47037
Avery, Richard; Henderson, Johnny; O’Regan, Donal
4
2008
Existence of a periodic solution for continuous and discrete periodic second-order equations with variable potentials. Zbl 1368.34053
Anderson, Douglas R.; Avery, Richard I.
4
2011
The five functionals fixed point theorem generalized to multivalued maps. Zbl 1065.47050
Agarwal, Ravi; Avery, Richard; Henderson, Johnny; O’Regan, Donal
3
2003
Fixed point theorem utilizing operators and functionals. Zbl 1340.47106
Anderson, Douglas; Avery, R. I.; Henderson, Johnny; Liu, Xueyan
3
2012
Compression fixed point theorems of operator type. Zbl 1342.47070
Avery, Richard I.; Graef, John R.; Liu, Xueyan
3
2015
An extension of the five functionals fixed point theorem. Zbl 0960.47028
Avery, Richard I.; Henderson, Johnny
3
2000
Omitted ray fixed point theorem. Zbl 1339.47069
Avery, Richard; Henderson, Johnny; Liu, Xueyan
2
2015
A Leggett-Williams type theorem applied to a fourth order problem. Zbl 1273.34024
Avery, Richard; Eloe, Paul; Henderson, Johnny
2
2012
Three functionals fixed point theorem. Zbl 1191.47072
Avery, Richard; Henderson, Johnny; O’Regan, Donal
1
2009
Criteria for convergence of iterates in a compression-expansion fixed point theorem of functional type. Zbl 1504.47079
Avery, Richard I.; Anderson, Douglas R.; Henderson, Johnny
1
2018
Application of the omitted ray fixed point theorem. Zbl 1324.47092
Anderson, Douglas; Avery, R. I.
1
2014
Corollary to the five functionals fixed point theorem. Zbl 1011.47045
Anderson, Douglas R.; Avery, Richard I.; Henderson, Johnny
1
2001
A closed form solution of a discrete correlated random walk. Zbl 1112.39006
Avery, Richard
1
2006
Alternative fixed point method. Zbl 1454.47061
Avery, Richard
1
2020
An example employing convexity in functional fixed point arguments. Zbl 1303.47087
Avery, Richard I.; Eloe, Paul W.; Henderson, Johnny
1
2013
Multiple fixed point theorems utilizing operators and functionals. Zbl 1294.47074
Anderson, Douglas; Avery, Richard; Henderson, Johnny; Liu, Xueyan
1
2012
Alternative fixed point method. Zbl 1454.47061
Avery, Richard
1
2020
Criteria for convergence of iterates in a compression-expansion fixed point theorem of functional type. Zbl 1504.47079
Avery, Richard I.; Anderson, Douglas R.; Henderson, Johnny
1
2018
An extension of the compression-expansion fixed point theorem of functional type. Zbl 1362.47040
Avery, Richard I.; Anderson, Douglas R.; Henderson, Johnny
5
2016
Fractional-order boundary value problem with Sturm-Liouville boundary conditions. Zbl 1320.34006
Anderson, Douglas R.; Avery, Richard I.
19
2015
Compression fixed point theorems of operator type. Zbl 1342.47070
Avery, Richard I.; Graef, John R.; Liu, Xueyan
3
2015
Omitted ray fixed point theorem. Zbl 1339.47069
Avery, Richard; Henderson, Johnny; Liu, Xueyan
2
2015
Application of the omitted ray fixed point theorem. Zbl 1324.47092
Anderson, Douglas; Avery, R. I.
1
2014
An example employing convexity in functional fixed point arguments. Zbl 1303.47087
Avery, Richard I.; Eloe, Paul W.; Henderson, Johnny
1
2013
Fixed point theorem utilizing operators and functionals. Zbl 1340.47106
Anderson, Douglas; Avery, R. I.; Henderson, Johnny; Liu, Xueyan
3
2012
A Leggett-Williams type theorem applied to a fourth order problem. Zbl 1273.34024
Avery, Richard; Eloe, Paul; Henderson, Johnny
2
2012
Multiple fixed point theorems utilizing operators and functionals. Zbl 1294.47074
Anderson, Douglas; Avery, Richard; Henderson, Johnny; Liu, Xueyan
1
2012
Operator type expansion-compression fixed point theorem. Zbl 1220.47071
Anderson, Douglas R.; Avery, Richard I.; Henderson, Johnny; Liu, Xueyan
5
2011
Some fixed point theorems of Leggett-Williams type. Zbl 1221.47098
Avery, Richard; Anderson, Douglas; Henderson, Johnny
5
2011
Existence of a positive solution for a right focal discrete boundary value problem. Zbl 1234.39002
Anderson, D. R.; Avery, R. I.; Henderson, J.; Liu, X.; Lyons, J. W.
5
2011
Existence of a periodic solution for continuous and discrete periodic second-order equations with variable potentials. Zbl 1368.34053
Anderson, Douglas R.; Avery, Richard I.
4
2011
Functional expansion-compression fixed point theorem of Leggett-Williams type. Zbl 1226.47054
Anderson, Douglas R.; Avery, Richard I.; Henderson, Johnny
11
2010
Existence of a positive solution to a right focal boundary value problem. Zbl 1202.34054
Avery, Richard I.; Henderson, Johny; Anderson, Douglas R.
5
2010
A topological proof and extension of the Leggett-Williams fixed point theorem. Zbl 1184.47024
Avery, Richard I.; Henderson, Johnny; Anderson, Douglas R.
6
2009
Three functionals fixed point theorem. Zbl 1191.47072
Avery, Richard; Henderson, Johnny; O’Regan, Donal
1
2009
Functional compression-expansion fixed point theorem. Zbl 1149.47042
Avery, Richard; Henderson, Johnny; O’Regan, Donal
18
2008
Four functionals fixed point theorem. Zbl 1187.34035
Avery, Richard; Henderson, Johnny; O’Regan, Donal
11
2008
Six functionals fixed point theorem. Zbl 1161.47037
Avery, Richard; Henderson, Johnny; O’Regan, Donal
4
2008
A dual of the compression-expansion fixed point theorems. Zbl 1159.47028
Avery, Richard; Henderson, Johnny; O’Regan, Donal
4
2007
A fourth-order four-point right focal boundary value problem. Zbl 1137.34008
Anderson, Douglas R.; Avery, Richard I.
17
2006
An extension of the fixed point theorem of cone expansion and compression of functional type. Zbl 1109.47046
Avery, Richard I.; Anderson, Douglas R.; Krueger, Robert J.
7
2006
A closed form solution of a discrete correlated random walk. Zbl 1112.39006
Avery, Richard
1
2006
Existence of solutions for a one dimensional \(p\)-Laplacian on time-scales. Zbl 1058.39010
Anderson, Douglas; Avery, Richard; Henderson, Johnny
63
2004
Existence of three positive pseudo-symmetric solutions for a one dimensional discrete \(p\)-Laplacian. Zbl 1053.39003
Avery, Richard; Henderson, Johnny
29
2004
An even-order three-point boundary value problem on time scales. Zbl 1056.34013
Anderson, Douglas R.; Avery, Richard I.
18
2004
Existence of three positive pseudo-symmetric solutions for a one dimensional \(p\)-Laplacian. Zbl 1028.34022
Avery, Richard; Henderson, Johnny
69
2003
Existence and uniqueness of solutions to discrete diffusion equations. Zbl 1077.39014
Anderson, D. R.; Avery, R. I.; Davis, J. M.
5
2003
The five functionals fixed point theorem generalized to multivalued maps. Zbl 1065.47050
Agarwal, Ravi; Avery, Richard; Henderson, Johnny; O’Regan, Donal
3
2003
Fixed point theorem of cone expansion and compression of functional type. Zbl 1013.47019
Anderson, Douglas R.; Avery, Richard I.
33
2002
Existence of three positive solutions to a second-order boundary value problem on a measure chain. Zbl 1032.39009
Avery, Richard I.; Anderson, Douglas R.
26
2002
Three positive fixed points of nonlinear operators on ordered Banach spaces. Zbl 1005.47051
Avery, R. I.; Peterson, A. C.
174
2001
Two positive fixed points of nonlinear operators on ordered Banach spaces. Zbl 1014.47025
Avery, Richard I.; Henderson, Johnny
80
2001
Twin solutions of boundary value problems for ordinary differential equations and finite difference equations. Zbl 1006.34022
Avery, R. I.; Chyan, Chuan Jen; Henderson, J.
73
2001
Multiple positive solutions to a third-order discrete focal boundary value problem. Zbl 1001.39022
Anderson, D.; Avery, R. I.
32
2001
Corollary to the five functionals fixed point theorem. Zbl 1011.47045
Anderson, Douglas R.; Avery, Richard I.; Henderson, Johnny
1
2001
Three symmetric positive solutions for a second-order boundary value problem. Zbl 0961.34014
Avery, R. I.; Henderson, J.
93
2000
Three symmetric positive solutions for Lidstone problems by a generalization of the Leggett-Williams theorem. Zbl 0958.34020
Avery, Richard I.; Davis, John M.; Henderson, Johnny
26
2000
An extension of the five functionals fixed point theorem. Zbl 0960.47028
Avery, Richard I.; Henderson, Johnny
3
2000
A generalization of the Leggett-Williams fixed point theorem. Zbl 0965.47038
Avery, Richard I.
114
1999
Three positive solutions to a discrete focal boundary value problem. Zbl 1001.39021
Anderson, D.; Avery, R.; Peterson, A.
40
1998
Existence of multiple positive solutions to a conjugate boundary value problem. Zbl 0960.34503
Avery, R.
33
1998
Multiple positive solutions of a discrete second order conjugate problem. Zbl 0959.39006
Avery, Richard I.; Peterson, Allan C.
24
1998
Three positive solutions of a discrete second order conjugate problem. Zbl 0958.39024
Avery, Richard I.
15
1998
Multiple positive solutions of an \(n\)th order focal boundary value problem. Zbl 0960.34015
Avery, Richard I.
8
1998
all top 5

Cited by 577 Authors

67 Ge, Weigao
27 Henderson, Johnny Lee
25 Anderson, Douglas Robert
23 Liu, Yuji
22 Avery, Richard I.
19 Yaslan Karaca, Ilkay
18 Wong, Patricia J. Y.
17 Feng, Meiqiang
17 Zhang, Xuemei
15 Graef, John R.
13 Liu, Lishan
12 Sun, Hongrui
11 Su, Youhui
11 Tokmak Fen, Fatma
10 Agarwal, Ravi P.
10 Dogan, Abdulkadir
10 Liu, Xia
10 Sun, Yongping
10 Zhang, Yuanbiao
9 Feng, Hanying
9 Goodrich, Christopher S.
9 Jankowski, Tadeusz
9 Li, Wan-Tong
9 Pang, Huihui
9 Shi, Haiping
9 Yang, Liu
8 Bai, Zhanbing
8 Guo, Yanping
8 Kong, Lingju
8 Sun, Jianping
8 Yaslan, İsmail
7 Jiang, Weihua
7 O’Regan, Donal
7 Prasad, Kapula Rajendra
7 Rao, Sabbavarapu Nageswara
7 Wang, Youyu
7 Yang, Zhilin
6 Deng, Xiaoqing
6 He, Zhimin
6 Li, Yongkun
6 Liu, Xiping
6 Mebarki, Karima
6 Tian, Yu
6 Wang, Dabin
6 Yang, Bo
6 Zhai, Chengbo
6 Zhang, Jihui
6 Zhang, Youwei
5 Cabada, Alberto
5 Djebali, Smail
5 Guan, Wen
5 Guo, Limin
5 Han, Wei
5 Ji, Dehong
5 Jonnalagadda, Jagan Mohan
5 Li, Jianli
5 Luca, Rodica
5 Ma, Dexiang
5 Nieto Roig, Juan Jose
5 Sang, Yanbin
5 Shen, Chunfang
5 Shen, Jianhua
5 Song, Changxiu
5 Su, Hua
5 Wu, Yonghong
5 Zhang, Weiguo
4 Bai, Dingyong
4 Chyan, Chuan Jen
4 Ding, Huisheng
4 Haddouchi, Faouzi
4 He, Xiaoming
4 Hong, Shihuang
4 Jia, Mei
4 Kang, Shugui
4 Lian, Hairong
4 Liang, Sihua
4 Liu, Xueyan
4 Ren, Jingli
4 Thompson, Harold Bevan
4 Xu, Fuyi
4 Zhang, Xiaoping
4 Zhang, Xinguang
3 Bai, Chuanzhi
3 Băleanu, Dumitru I.
3 Benaicha, Slimane
3 Bonanno, Gabriele
3 Cheung, Wingsum
3 Cianciaruso, Filomena
3 Davis, John M.
3 Ding, Wei
3 Du, Zengji
3 Georgiev, Svetlin Georgiev
3 Gui, Zhanji
3 Hamal, Nuket Aykut
3 Heidarkhani, Shapour
3 Hoffacker, Joan
3 Jin, Zhen
3 Khaldi, Rabah
3 Krushna, Boddu Muralee Bala
3 Liu, Xilan
...and 477 more Authors
all top 5

Cited in 113 Serials

60 Advances in Difference Equations
55 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
53 Journal of Mathematical Analysis and Applications
52 Computers & Mathematics with Applications
36 Boundary Value Problems
34 Applied Mathematics and Computation
27 Journal of Applied Mathematics and Computing
24 Applied Mathematics Letters
24 Abstract and Applied Analysis
20 Journal of Computational and Applied Mathematics
18 Journal of Difference Equations and Applications
17 Mathematical and Computer Modelling
11 Discrete Dynamics in Nature and Society
10 Rocky Mountain Journal of Mathematics
9 Mediterranean Journal of Mathematics
8 Acta Mathematicae Applicatae Sinica. English Series
6 Journal of Inequalities and Applications
6 Nonlinear Analysis. Modelling and Control
5 Applicable Analysis
5 Turkish Journal of Mathematics
5 Fractional Calculus & Applied Analysis
5 Journal of Fixed Point Theory and Applications
5 Differential Equations and Applications
5 Open Mathematics
4 Mathematical Methods in the Applied Sciences
4 International Journal of Mathematics and Mathematical Sciences
4 Acta Applicandae Mathematicae
4 Applied Mathematics. Series B (English Edition)
4 Differential Equations and Dynamical Systems
4 Journal of Nonlinear Science and Applications
4 Journal of Function Spaces
3 Mathematica Slovaca
3 Filomat
3 Mathematical Problems in Engineering
3 Positivity
3 Communications in Nonlinear Science and Numerical Simulation
3 Nonlinear Analysis. Real World Applications
3 Journal of Applied Mathematics
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Asian-European Journal of Mathematics
3 International Journal of Differential Equations
2 Lithuanian Mathematical Journal
2 Ukrainian Mathematical Journal
2 Archivum Mathematicum
2 Journal of Differential Equations
2 Journal of Optimization Theory and Applications
2 Proceedings of the American Mathematical Society
2 Results in Mathematics
2 Applied Numerical Mathematics
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Electronic Journal of Differential Equations (EJDE)
2 Journal of Applied Analysis
2 Acta Mathematica Sinica. English Series
2 Qualitative Theory of Dynamical Systems
2 Mathematical Modelling and Analysis
2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
2 Portugaliae Mathematica. Nova Série
2 Analysis and Applications (Singapore)
2 Boletim da Sociedade Paranaense de Matemática. Terceira Série
2 Cubo
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Afrika Matematika
2 Mathematical Sciences
2 Fractional Differential Calculus
2 Chinese Journal of Mathematics
1 Bulletin of the Australian Mathematical Society
1 Indian Journal of Pure & Applied Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Chaos, Solitons and Fractals
1 Czechoslovak Mathematical Journal
1 Kyungpook Mathematical Journal
1 Matematički Vesnik
1 Mathematische Zeitschrift
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Zeitschrift für Analysis und ihre Anwendungen
1 Acta Mathematica Hungarica
1 Bulletin of the Iranian Mathematical Society
1 Forum Mathematicum
1 Mathematica Bohemica
1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 Applied Mathematical Modelling
1 International Journal of Computer Mathematics
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Indagationes Mathematicae. New Series
1 Topological Methods in Nonlinear Analysis
1 Journal of Mathematical Sciences (New York)
1 Computational and Applied Mathematics
1 Georgian Mathematical Journal
1 Buletinul Academiei de Științe a Republicii Moldova. Matematica
1 Integral Transforms and Special Functions
1 Complexity
1 Discrete and Continuous Dynamical Systems
1 Nonlinear Dynamics
1 Taiwanese Journal of Mathematics
1 Novi Sad Journal of Mathematics
1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics
1 The ANZIAM Journal
1 Differentsial’nye Uravneniya i Protsessy Upravleniya
1 Acta Mathematica Scientia. Series B. (English Edition)
...and 13 more Serials

Citations by Year