## Anderson, Douglas Robert

Compute Distance To:
 Author ID: anderson.douglas-robert Published as: Anderson, Douglas R.; Anderson, D. R.; Anderson, Douglas; Anderson, D.; Anderson, Doug more...less Homepage: http://faculty.cord.edu/andersod/ External Links: MGP · ORCID · Google Scholar · ResearchGate
 Documents Indexed: 136 Publications since 1997, including 1 Book Co-Authors: 53 Co-Authors with 93 Joint Publications 1,893 Co-Co-Authors
all top 5

### Co-Authors

 40 single-authored 29 Avery, Richard I. 16 Henderson, Johnny Lee 14 Onitsuka, Masakazu 8 Hoffacker, Joan 6 Liu, Xueyan 5 Peterson, Allan C. 5 Saker, Samir H. 4 Tisdell, Christopher C. 3 Osman, Mahmoud M. 3 Zafer, Ağacık 2 Davis, John M. 2 Krueger, Robert J. 2 Liu, Xiang 2 Minhós, Feliz Manuel 2 Ulness, Darin J. 2 Zhai, Chengbo 1 Agarwal, Ravi P. 1 Anderson, Tyler O. 1 Bohner, Martin J. 1 Boucherif, Abdelkader 1 Buchholz, Bobbi 1 Bullock, John D. 1 Cabada, Alberto 1 Camrud, Evan 1 Du, Feifei 1 Eloe, Paul W. 1 Erbe, Lynn Harry 1 Gates, Ben 1 Georgiev, Svetlin Georgiev 1 Goodrich, Christopher S. 1 Graef, John R. 1 Guseinov, Gusein Sh. 1 Hall, William R. S. 1 Heuer, Dylan 1 Jennissen, Andrew J. 1 Jia, Baoguo 1 Kang, Shin Min 1 Kenz, Zackary R. 1 Kleber, Mathew M. 1 Kwiatkowski, J. D. 1 Liu, Zeqing 1 Lyons, Jeffrey W. 1 Ma, Ruyun 1 Moats, L. M. 1 Montplaisir, Cole J. 1 Myran, Nicholas G. 1 Noren, Steven 1 Perreault, Brent 1 Rachůnková, Irena 1 Rassias, John Michael 1 Saied, Ahmed I. 1 Smyrlis, George 1 Tran, Hoainam 1 Ume, Jeong Sheok 1 Wang, Peiguang 1 White, Dustin L. 1 Wong, Patricia J. Y. 1 Yaslan Karaca, Ilkay
all top 5

### Serials

 14 Electronic Journal of Differential Equations (EJDE) 12 Journal of Mathematical Analysis and Applications 12 Journal of Difference Equations and Applications 7 Electronic Journal of Qualitative Theory of Differential Equations 6 Computers & Mathematics with Applications 6 Panamerican Mathematical Journal 5 Mathematical and Computer Modelling 5 Dynamic Systems and Applications 4 Applied Mathematics and Computation 4 Journal of Computational and Applied Mathematics 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Communications on Applied Nonlinear Analysis 4 Advances in Difference Equations 3 Communications in Applied Analysis 3 Qualitative Theory of Dynamical Systems 2 Rocky Mountain Journal of Mathematics 2 Results in Mathematics 2 Applied Mathematics Letters 2 Aequationes Mathematicae 2 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 2 International Journal of Difference Equations 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Chaos, Solitons and Fractals 1 Demonstratio Mathematica 1 Nonlinear Studies 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 Discrete Dynamics in Nature and Society 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Nonlinear Dynamics and Systems Theory 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Applied Mathematics and Computing 1 Mediterranean Journal of Mathematics 1 The Australian Journal of Mathematical Analysis and Applications 1 Advances in Dynamical Systems and Applications 1 Journal of Mathematical Inequalities 1 Applicable Analysis and Discrete Mathematics 1 Involve 1 Differential Equations and Applications 1 Science China. Mathematics 1 International Electronic Journal of Pure and Applied Mathematics 1 Journal of Fractional Calculus and Applications
all top 5

### Fields

 92 Ordinary differential equations (34-XX) 78 Difference and functional equations (39-XX) 27 Operator theory (47-XX) 16 Real functions (26-XX) 5 Systems theory; control (93-XX) 4 Numerical analysis (65-XX) 3 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Special functions (33-XX) 1 General topology (54-XX) 1 Mechanics of deformable solids (74-XX)

### Citations contained in zbMATH Open

109 Publications have been cited 1,266 times in 858 Documents Cited by Year
Solutions to second-order three-point problems on time scales. Zbl 1021.34011
Anderson, Douglas R.
2002
Multiple positive solutions for a three-point boundary value problem. Zbl 0906.34014
Anderson, D.
1998
Multiple solutions and eigenvalues for third-order right focal boundary value problems. Zbl 1003.34021
Anderson, Douglas R.; Davis, John M.
2002
Green’s function for a third-order generalized right focal problem. Zbl 1045.34008
Anderson, Douglas R.
2003
Existence of solutions for a one dimensional $$p$$-Laplacian on time-scales. Zbl 1058.39010
Anderson, Douglas; Avery, Richard; Henderson, Johnny
2004
Properties of the Katugampola fractional derivative with potential application in quantum mechanics. Zbl 1323.26008
Anderson, Douglas R.; Ulness, Darin J.
2015
Three positive solutions to a discrete focal boundary value problem. Zbl 1001.39021
Anderson, D.; Avery, R.; Peterson, A.
1998
Fixed point theorem of cone expansion and compression of functional type. Zbl 1013.47019
Anderson, Douglas R.; Avery, Richard I.
2002
Multiple positive solutions to a third-order discrete focal boundary value problem. Zbl 1001.39022
Anderson, D.; Avery, R. I.
2001
A sum operator equation and applications to nonlinear elastic beam equations and Lane-Emden-Fowler equations. Zbl 1207.47064
Zhai, Chengbo; Anderson, Douglas R.
2011
Nabla dynamic equations on time scales. Zbl 1032.39007
Anderson, Douglas; Bullock, John; Erbe, Lynn; Peterson, Allan; Tran, Hoainam
2003
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.
2002
Higher-order self-adjoint boundary-value problems on time scales. Zbl 1098.39008
Anderson, Douglas R.; Guseinov, Gusein Sh.; Hoffacker, Joan
2006
Eigenvalue intervals for a two-point boundary value problem on a measure chain. Zbl 1134.34310
Anderson, Douglas R.
2002
Existence of three solutions for a first-order problem with nonlinear nonlocal boundary conditions. Zbl 1314.34048
Anderson, Douglas R.
2013
Taylor’s formula and integral inequalities for conformable fractional derivatives. Zbl 1370.26036
Anderson, Douglas R.
2016
Interval oscillation criteria for second-order forced delay dynamic equations with mixed nonlinearities. Zbl 1197.34117
Agarwal, Ravi P.; Anderson, Douglas R.; Zafer, Ağacık
2010
Dynamic double integral inequalities in two independent variables on time scales. Zbl 1170.26306
Anderson, Douglas R.
2008
Fractional-order boundary value problem with Sturm-Liouville boundary conditions. Zbl 1320.34006
Anderson, Douglas R.; Avery, Richard I.
2015
An even-order three-point boundary value problem on time scales. Zbl 1056.34013
Anderson, Douglas R.; Avery, Richard I.
2004
A discrete fourth-order Lidstone problem with parameters. Zbl 1172.39019
Anderson, Douglas R.; Minhós, Feliz
2009
Solvability of discrete Neumann boundary value problems. Zbl 1120.39014
Anderson, D. R.; Rachůnková, I.; Tisdell, C. C.
2007
Best constant for Hyers-Ulam stability of second-order $$h$$-difference equations with constant coefficients. Zbl 1433.39005
Anderson, Douglas R.; Onitsuka, Masakazu
2019
Twin monotone positive solutions to a singular nonlinear third-order differential equation. Zbl 1123.34016
Liu, Zeqing; Ume, Jeong Sheok; Anderson, Douglas R.; Kang, Shin Min
2007
Discrete third-order three-point right-focal boundary value problems. Zbl 1054.39010
Anderson, D. R.
2003
Positivity of Green’s function for an $$n$$-point right focal boundary value problem on measure chains. Zbl 1042.39504
Anderson, D.
2000
A fourth-order four-point right focal boundary value problem. Zbl 1137.34008
Anderson, Douglas R.; Avery, Richard I.
2006
Higher-order three-point boundary value problem on time scales. Zbl 1165.39300
Anderson, Douglas R.; Karaca, Ilkay Yaslan
2008
Existence of solutions for a cantilever beam problem. Zbl 1115.34019
Anderson, Douglas R.; Hoffacker, Joan
2006
Twin $$n$$-point boundary value problems. Zbl 1061.34008
Anderson, D. R.
2004
Taylor polynomials for nabla dynamic equations on time scales. Zbl 1026.34011
Anderson, Douglas R.
2002
Oscillation of second-order forced functional dynamic equations with oscillatory potentials. Zbl 1123.34051
Anderson, Douglas R.
2007
Hyers-Ulam stability of first-order homogeneous linear dynamic equations on time scales. Zbl 1401.34096
Anderson, Douglas R.; Onitsuka, Masakazu
2018
Multiple periodic solutions for a second-order problem on periodic time scales. Zbl 1060.34022
Anderson, Douglas R.
2005
Time-scale integral inequalities. Zbl 1089.26009
Anderson, Douglas R.
2005
Positive solutions to semi-positone second-order three-point problems on time scales. Zbl 1188.34119
Anderson, Douglas R.; Zhai, Chengbo
2010
Delay dynamic equations with stability. Zbl 1134.39011
Anderson, Douglas R.; Krueger, Robert J.; Peterson, Allan C.
2006
Existence of solutions for a first-order $$p$$-Laplacian BVP on time scales. Zbl 1166.34302
Anderson, Douglas R.
2008
Functional expansion-compression fixed point theorem of Leggett-Williams type. Zbl 1226.47054
Anderson, Douglas R.; Avery, Richard I.; Henderson, Johnny
2010
Positive solutions for second-order semipositone problems on time scales. Zbl 1189.34167
Anderson, Douglas R.; Wong, Patricia J. Y.
2009
A 2$$n$$th order linear difference equation. Zbl 0903.39001
Anderson, D.
1998
Nonlinear triple-point problems on time scales. Zbl 1053.34014
Anderson, Douglas R.
2004
Hyers-Ulam stability for a discrete time scale with two step sizes. Zbl 1428.34136
Anderson, Douglas R.; Onitsuka, Masakazu
2019
Oscillation and nonoscillation criteria for two-dimensional time-scale systems of first-order nonlinear dynamic equations. Zbl 1185.34140
Anderson, Douglas R.
2009
Interval oscillation criteria for forced Emden-Fowler functional dynamic equations with oscillatory potential. Zbl 1273.34095
Anderson, Douglas R.; Saker, Samir H.
2013
Interval criteria for oscillation of nonlinear second-order dynamic equations on time scales. Zbl 1167.34008
Anderson, Douglas R.
2008
Interval criteria for second-order super-half-linear functional dynamic equations with delay and advance arguments. Zbl 1205.34126
Anderson, Douglas R.; Zafer, A.
2010
Green’s function for an even order mixed derivative problem on time scales. Zbl 1049.39019
Anderson, Douglas R.; Hoffacker, Joan
2003
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.
2006
Nonlinear oscillation of second-order dynamic equations on time scales. Zbl 1179.34104
Anderson, Douglas R.; Zafer, A.
2009
Eigenvalue intervals for even-order Sturm-Liouville dynamic equations. Zbl 1084.34025
Anderson, Douglas R.
2005
Solvability for a third-order three-point BVP on time scales. Zbl 1171.34306
Anderson, Douglas R.; Smyrlis, George
2009
Titchmarsh-Sims-Weyl theory for complex Hamiltonian systems on Sturmian time scales. Zbl 1205.34125
Anderson, Douglas R.
2011
Existence of solutions for nonlinear multi-point problems on time scales. Zbl 1104.34018
Anderson, Douglas R.
2006
Asymptotic properties of solutions to a $$2n$$th-order differential equation on a time scale. Zbl 0963.34042
Anderson, D.; Peterson, A.
2000
Hyers-Ulam stability and best constant for Cayley $$h$$-difference equations. Zbl 1472.39023
Anderson, Douglas R.; Onitsuka, Masakazu
2020
Discrete trigonometric matrix functions. Zbl 0888.39010
Anderson, Douglas R.
1997
Nonlocal initial value problem for first-order dynamic equations on time scales. Zbl 1180.34101
2009
Second-order $$n$$-point eigenvalue problems on time scales. Zbl 1133.39013
Anderson, Douglas R.; Ma, Ruyun
2006
Third-order right-focal multi-point problems on time scales. Zbl 1123.34014
2006
On the nature of the conformable derivative and its applications to physics. Zbl 1485.26003
Anderson, Douglas R.; Camrud, Evan; Ulness, Darin J.
2019
Existence of a positive solution to a right focal boundary value problem. Zbl 1202.34054
Avery, Richard I.; Henderson, Johny; Anderson, Douglas R.
2010
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.
2011
Monotonicity results for nabla fractional $$h$$-difference operators. Zbl 1470.39042
Liu, Xiang; Du, Feifei; Anderson, Douglas; Jia, Baoguo
2021
Global asymptotic behavior for delay dynamic equations. Zbl 1125.34058
Anderson, Douglas R.; Kenz, Zackary R.
2007
Green’s function and existence of solutions for a functional focal differential equation. Zbl 1112.34041
Anderson, Douglas R.; Anderson, Tyler O.; Kleber, Mathew M.
2006
Extension of a second-order multi-point problem to time scales. Zbl 1048.39010
Anderson, Douglas R.
2003
A topological proof and extension of the Leggett-Williams fixed point theorem. Zbl 1184.47024
Avery, Richard I.; Henderson, Johnny; Anderson, Douglas R.
2009
Green’s function for an $$n$$-point discrete right focal boundary value problem. Zbl 0958.39006
Anderson, Doug
1998
Basins of attraction in a Cournot duopoly model of Kopel. Zbl 1111.39010
Anderson, Douglas R.; Myran, Nicholas G.; White, Dustin L.
2005
An extension of the compression-expansion fixed point theorem of functional type. Zbl 1362.47040
Avery, Richard I.; Anderson, Douglas R.; Henderson, Johnny
2016
Positive periodic time-scale solutions for functional dynamic equations. Zbl 1098.39009
Anderson, Douglas R.; Hoffacker, Joan
2006
Existence of solutions to a third-order multi-point problem on time scales. Zbl 1138.34305
Anderson, Douglas R.; Hoffacker, Joan
2007
Existence of solutions for first-order multi-point problems with changing-sign nonlinearity. Zbl 1158.34006
Anderson, Douglas R.
2008
Some fixed point theorems of Leggett-Williams type. Zbl 1221.47098
Avery, Richard; Anderson, Douglas; Henderson, Johnny
2011
A stacked delta-nabla self-adjoint problem of even order. Zbl 1106.39308
Anderson, D. R.; Hoffacker, J.
2003
Hyers-Ulam stability for quantum equations. Zbl 1466.39004
Anderson, Douglas R.; Onitsuka, Masakazu
2021
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.
2011
Hyers-Ulam stability of second-order linear dynamic equations on time scales. Zbl 1273.34094
Anderson, Douglas R.; Gates, Ben; Heuer, Dylan
2012
Higher-dimensional functional dynamic equations on periodic time scales. Zbl 1145.34359
Anderson, Douglas R.; Hoffacker, Joan
2008
Hyers-Ulam stability for quantum equations of Euler type. Zbl 1459.39051
Anderson, Douglas R.; Onitsuka, Masakazu
2020
Even order self adjoint time scale problems. Zbl 1075.34010
Anderson, Douglas R.; Hoffacker, Joan
2005
Best constant for Hyers-Ulam stability of two step sizes linear difference equations. Zbl 1459.39036
Anderson, Douglas R.; Onitsuka, Masakazu
2021
Third-order nonlocal problems with sign-changing nonlinearity on time scales. Zbl 1121.34031
Anderson, Douglas R.; Tisdell, Christopher C.
2007
Fixed point theorem utilizing operators and functionals. Zbl 1340.47106
Anderson, Douglas; Avery, R. I.; Henderson, Johnny; Liu, Xueyan
2012
Operator type expansion-compression fixed point theorem. Zbl 1220.47071
Anderson, Douglas R.; Avery, Richard I.; Henderson, Johnny; Liu, Xueyan
2011
Existence and uniqueness of solutions to discrete diffusion equations. Zbl 1077.39014
Anderson, D. R.; Avery, R. I.; Davis, J. M.
2003
Conformable dynamic equations on time scales. Zbl 1471.34001
Anderson, Douglas R.; Georgiev, Svetlin G.
2020
Normalized prepared bases for discrete symplectic matrix systems. Zbl 0940.39012
Anderson, Douglas
1999
Hyers-Ulam stability for a continuous atime scale with discrete uniform jumps. Zbl 1454.34122
Anderson, Douglas R.; Jennissen, Andrew J.; Montplaisir, Cole J.
2020
Discrete approaches to continuous boundary value problems: existence and convergence of solutions. Zbl 1470.39010
Anderson, Douglas R.; Tisdell, Christopher C.
2016
Best constant for Ulam stability of first-order $$h$$-difference equations with periodic coefficient. Zbl 1451.39014
Anderson, Douglas R.; Onitsuka, Masakazu; Rassias, John Michael
2020
Hyers-Ulam stability for Cayley quantum equations and its application to $$h$$-difference equations. Zbl 1471.39012
Anderson, Douglas R.; Onitsuka, Masakazu
2021
Positive Green’s functions for boundary value problems with conformable derivatives. Zbl 1371.34007
Anderson, Douglas R.
2016
Global stability for nonlinear dynamic equations with variable coefficients. Zbl 1152.34033
Anderson, Douglas R.
2008
Alternative solutions of inhomogeneous second-order linear dynamic equations on time scales. Zbl 1232.34123
Anderson, Douglas R.; Tisdell, Christopher C.
2011
Existence of solutions to higher-order discrete three-point problems. Zbl 1036.39002
Anderson, Douglas R.
2003
Multiple fixed point theorems utilizing operators and functionals. Zbl 1294.47074
Anderson, Douglas; Avery, Richard; Henderson, Johnny; Liu, Xueyan
2012
$$q$$-dominant and $$q$$-recessive matrix solutions for linear quantum systems. Zbl 1178.39008
Anderson, D. R.; Moats, L. M.
2007
Oscillation criteria for two-dimensional systems of first-order linear dynamic equations on time scales. Zbl 1191.34106
Anderson, Douglas R.; Hall, William R.
2009
Two weighted norm dynamic inequalities with applications on second order half-linear dynamic equations. Zbl 1482.26042
Saker, Samir H.; Osman, Mahmoud M.; Anderson, Douglas R.
2022
Monotonicity results for nabla fractional $$h$$-difference operators. Zbl 1470.39042
Liu, Xiang; Du, Feifei; Anderson, Douglas; Jia, Baoguo
2021
Hyers-Ulam stability for quantum equations. Zbl 1466.39004
Anderson, Douglas R.; Onitsuka, Masakazu
2021
Best constant for Hyers-Ulam stability of two step sizes linear difference equations. Zbl 1459.39036
Anderson, Douglas R.; Onitsuka, Masakazu
2021
Hyers-Ulam stability for Cayley quantum equations and its application to $$h$$-difference equations. Zbl 1471.39012
Anderson, Douglas R.; Onitsuka, Masakazu
2021
Some new characterizations of weights in dynamic inequalities involving monotonic functions. Zbl 1473.26031
Saker, Samir H.; Saied, Ahmed I.; Anderson, Douglas R.
2021
Hyers-Ulam stability and best constant for Cayley $$h$$-difference equations. Zbl 1472.39023
Anderson, Douglas R.; Onitsuka, Masakazu
2020
Hyers-Ulam stability for quantum equations of Euler type. Zbl 1459.39051
Anderson, Douglas R.; Onitsuka, Masakazu
2020
Conformable dynamic equations on time scales. Zbl 1471.34001
Anderson, Douglas R.; Georgiev, Svetlin G.
2020
Hyers-Ulam stability for a continuous atime scale with discrete uniform jumps. Zbl 1454.34122
Anderson, Douglas R.; Jennissen, Andrew J.; Montplaisir, Cole J.
2020
Best constant for Ulam stability of first-order $$h$$-difference equations with periodic coefficient. Zbl 1451.39014
Anderson, Douglas R.; Onitsuka, Masakazu; Rassias, John Michael
2020
Best constant for Hyers-Ulam stability of second-order $$h$$-difference equations with constant coefficients. Zbl 1433.39005
Anderson, Douglas R.; Onitsuka, Masakazu
2019
Hyers-Ulam stability for a discrete time scale with two step sizes. Zbl 1428.34136
Anderson, Douglas R.; Onitsuka, Masakazu
2019
On the nature of the conformable derivative and its applications to physics. Zbl 1485.26003
Anderson, Douglas R.; Camrud, Evan; Ulness, Darin J.
2019
Hyers-Ulam stability of first-order homogeneous linear dynamic equations on time scales. Zbl 1401.34096
Anderson, Douglas R.; Onitsuka, Masakazu
2018
Criteria for convergence of iterates in a compression-expansion fixed point theorem of functional type. Zbl 07008015
Avery, Richard I.; Anderson, Douglas R.; Henderson, Johnny
2018
Taylor’s formula and integral inequalities for conformable fractional derivatives. Zbl 1370.26036
Anderson, Douglas R.
2016
An extension of the compression-expansion fixed point theorem of functional type. Zbl 1362.47040
Avery, Richard I.; Anderson, Douglas R.; Henderson, Johnny
2016
Discrete approaches to continuous boundary value problems: existence and convergence of solutions. Zbl 1470.39010
Anderson, Douglas R.; Tisdell, Christopher C.
2016
Positive Green’s functions for boundary value problems with conformable derivatives. Zbl 1371.34007
Anderson, Douglas R.
2016
Properties of the Katugampola fractional derivative with potential application in quantum mechanics. Zbl 1323.26008
Anderson, Douglas R.; Ulness, Darin J.
2015
Fractional-order boundary value problem with Sturm-Liouville boundary conditions. Zbl 1320.34006
Anderson, Douglas R.; Avery, Richard I.
2015
Hyers-Ulam stability of higher-order Cauchy-Euler dynamic equations on time scales. Zbl 1310.34121
Anderson, Douglas R.
2014
Existence of three solutions for a first-order problem with nonlinear nonlocal boundary conditions. Zbl 1314.34048
Anderson, Douglas R.
2013
Interval oscillation criteria for forced Emden-Fowler functional dynamic equations with oscillatory potential. Zbl 1273.34095
Anderson, Douglas R.; Saker, Samir H.
2013
Hyers-Ulam stability of second-order linear dynamic equations on time scales. Zbl 1273.34094
Anderson, Douglas R.; Gates, Ben; Heuer, Dylan
2012
Fixed point theorem utilizing operators and functionals. Zbl 1340.47106
Anderson, Douglas; Avery, R. I.; Henderson, Johnny; Liu, Xueyan
2012
Multiple fixed point theorems utilizing operators and functionals. Zbl 1294.47074
Anderson, Douglas; Avery, Richard; Henderson, Johnny; Liu, Xueyan
2012
A sum operator equation and applications to nonlinear elastic beam equations and Lane-Emden-Fowler equations. Zbl 1207.47064
Zhai, Chengbo; Anderson, Douglas R.
2011
Titchmarsh-Sims-Weyl theory for complex Hamiltonian systems on Sturmian time scales. Zbl 1205.34125
Anderson, Douglas R.
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.
2011
Some fixed point theorems of Leggett-Williams type. Zbl 1221.47098
Avery, Richard; Anderson, Douglas; Henderson, Johnny
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.
2011
Operator type expansion-compression fixed point theorem. Zbl 1220.47071
Anderson, Douglas R.; Avery, Richard I.; Henderson, Johnny; Liu, Xueyan
2011
Alternative solutions of inhomogeneous second-order linear dynamic equations on time scales. Zbl 1232.34123
Anderson, Douglas R.; Tisdell, Christopher C.
2011
Interval oscillation criteria for second-order forced delay dynamic equations with mixed nonlinearities. Zbl 1197.34117
Agarwal, Ravi P.; Anderson, Douglas R.; Zafer, Ağacık
2010
Positive solutions to semi-positone second-order three-point problems on time scales. Zbl 1188.34119
Anderson, Douglas R.; Zhai, Chengbo
2010
Functional expansion-compression fixed point theorem of Leggett-Williams type. Zbl 1226.47054
Anderson, Douglas R.; Avery, Richard I.; Henderson, Johnny
2010
Interval criteria for second-order super-half-linear functional dynamic equations with delay and advance arguments. Zbl 1205.34126
Anderson, Douglas R.; Zafer, A.
2010
Existence of a positive solution to a right focal boundary value problem. Zbl 1202.34054
Avery, Richard I.; Henderson, Johny; Anderson, Douglas R.
2010
A discrete fourth-order Lidstone problem with parameters. Zbl 1172.39019
Anderson, Douglas R.; Minhós, Feliz
2009
Positive solutions for second-order semipositone problems on time scales. Zbl 1189.34167
Anderson, Douglas R.; Wong, Patricia J. Y.
2009
Oscillation and nonoscillation criteria for two-dimensional time-scale systems of first-order nonlinear dynamic equations. Zbl 1185.34140
Anderson, Douglas R.
2009
Nonlinear oscillation of second-order dynamic equations on time scales. Zbl 1179.34104
Anderson, Douglas R.; Zafer, A.
2009
Solvability for a third-order three-point BVP on time scales. Zbl 1171.34306
Anderson, Douglas R.; Smyrlis, George
2009
Nonlocal initial value problem for first-order dynamic equations on time scales. Zbl 1180.34101
2009
A topological proof and extension of the Leggett-Williams fixed point theorem. Zbl 1184.47024
Avery, Richard I.; Henderson, Johnny; Anderson, Douglas R.
2009
Oscillation criteria for two-dimensional systems of first-order linear dynamic equations on time scales. Zbl 1191.34106
Anderson, Douglas R.; Hall, William R.
2009
Dominant and recessive solutions of self-adjoint matrix systems on time scales. Zbl 1205.34124
Anderson, Douglas R.
2009
Dynamic double integral inequalities in two independent variables on time scales. Zbl 1170.26306
Anderson, Douglas R.
2008
Higher-order three-point boundary value problem on time scales. Zbl 1165.39300
Anderson, Douglas R.; Karaca, Ilkay Yaslan
2008
Existence of solutions for a first-order $$p$$-Laplacian BVP on time scales. Zbl 1166.34302
Anderson, Douglas R.
2008
Interval criteria for oscillation of nonlinear second-order dynamic equations on time scales. Zbl 1167.34008
Anderson, Douglas R.
2008
Existence of solutions for first-order multi-point problems with changing-sign nonlinearity. Zbl 1158.34006
Anderson, Douglas R.
2008
Higher-dimensional functional dynamic equations on periodic time scales. Zbl 1145.34359
Anderson, Douglas R.; Hoffacker, Joan
2008
Global stability for nonlinear dynamic equations with variable coefficients. Zbl 1152.34033
Anderson, Douglas R.
2008
Solvability of discrete Neumann boundary value problems. Zbl 1120.39014
Anderson, D. R.; Rachůnková, I.; Tisdell, C. C.
2007
Twin monotone positive solutions to a singular nonlinear third-order differential equation. Zbl 1123.34016
Liu, Zeqing; Ume, Jeong Sheok; Anderson, Douglas R.; Kang, Shin Min
2007
Oscillation of second-order forced functional dynamic equations with oscillatory potentials. Zbl 1123.34051
Anderson, Douglas R.
2007
Global asymptotic behavior for delay dynamic equations. Zbl 1125.34058
Anderson, Douglas R.; Kenz, Zackary R.
2007
Existence of solutions to a third-order multi-point problem on time scales. Zbl 1138.34305
Anderson, Douglas R.; Hoffacker, Joan
2007
Third-order nonlocal problems with sign-changing nonlinearity on time scales. Zbl 1121.34031
Anderson, Douglas R.; Tisdell, Christopher C.
2007
$$q$$-dominant and $$q$$-recessive matrix solutions for linear quantum systems. Zbl 1178.39008
Anderson, D. R.; Moats, L. M.
2007
Young’s integral inequality on time scales revisited. Zbl 1197.26022
Anderson, Douglas R.
2007
Self-adjoint matrix equations on time scales. Zbl 1143.34005
Anderson, Douglas R.; Buchholz, Bobbi
2007
Higher-order self-adjoint boundary-value problems on time scales. Zbl 1098.39008
Anderson, Douglas R.; Guseinov, Gusein Sh.; Hoffacker, Joan
2006
A fourth-order four-point right focal boundary value problem. Zbl 1137.34008
Anderson, Douglas R.; Avery, Richard I.
2006
Existence of solutions for a cantilever beam problem. Zbl 1115.34019
Anderson, Douglas R.; Hoffacker, Joan
2006
Delay dynamic equations with stability. Zbl 1134.39011
Anderson, Douglas R.; Krueger, Robert J.; Peterson, Allan C.
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.
2006
Existence of solutions for nonlinear multi-point problems on time scales. Zbl 1104.34018
Anderson, Douglas R.
2006
Second-order $$n$$-point eigenvalue problems on time scales. Zbl 1133.39013
Anderson, Douglas R.; Ma, Ruyun
2006
Third-order right-focal multi-point problems on time scales. Zbl 1123.34014
2006
Green’s function and existence of solutions for a functional focal differential equation. Zbl 1112.34041
Anderson, Douglas R.; Anderson, Tyler O.; Kleber, Mathew M.
2006
Positive periodic time-scale solutions for functional dynamic equations. Zbl 1098.39009
Anderson, Douglas R.; Hoffacker, Joan
2006
Boundedness and vanishing of solutions for a forced delay dynamic equation. Zbl 1139.39006
Anderson, Douglas R.
2006
Multiple periodic solutions for a second-order problem on periodic time scales. Zbl 1060.34022
Anderson, Douglas R.
2005
Time-scale integral inequalities. Zbl 1089.26009
Anderson, Douglas R.
2005
Eigenvalue intervals for even-order Sturm-Liouville dynamic equations. Zbl 1084.34025
Anderson, Douglas R.
2005
Basins of attraction in a Cournot duopoly model of Kopel. Zbl 1111.39010
Anderson, Douglas R.; Myran, Nicholas G.; White, Dustin L.
2005
Even order self adjoint time scale problems. Zbl 1075.34010
Anderson, Douglas R.; Hoffacker, Joan
2005
Existence of solutions for a one dimensional $$p$$-Laplacian on time-scales. Zbl 1058.39010
Anderson, Douglas; Avery, Richard; Henderson, Johnny
2004
An even-order three-point boundary value problem on time scales. Zbl 1056.34013
Anderson, Douglas R.; Avery, Richard I.
2004
Twin $$n$$-point boundary value problems. Zbl 1061.34008
Anderson, D. R.
2004
Nonlinear triple-point problems on time scales. Zbl 1053.34014
Anderson, Douglas R.
2004
Green’s function for a third-order generalized right focal problem. Zbl 1045.34008
Anderson, Douglas R.
2003
Nabla dynamic equations on time scales. Zbl 1032.39007
Anderson, Douglas; Bullock, John; Erbe, Lynn; Peterson, Allan; Tran, Hoainam
2003
Discrete third-order three-point right-focal boundary value problems. Zbl 1054.39010
Anderson, D. R.
2003
Green’s function for an even order mixed derivative problem on time scales. Zbl 1049.39019
Anderson, Douglas R.; Hoffacker, Joan
2003
Extension of a second-order multi-point problem to time scales. Zbl 1048.39010
Anderson, Douglas R.
2003
A stacked delta-nabla self-adjoint problem of even order. Zbl 1106.39308
Anderson, D. R.; Hoffacker, J.
2003
Existence and uniqueness of solutions to discrete diffusion equations. Zbl 1077.39014
Anderson, D. R.; Avery, R. I.; Davis, J. M.
2003
Existence of solutions to higher-order discrete three-point problems. Zbl 1036.39002
Anderson, Douglas R.
2003
Solutions to second-order three-point problems on time scales. Zbl 1021.34011
Anderson, Douglas R.
2002
Multiple solutions and eigenvalues for third-order right focal boundary value problems. Zbl 1003.34021
Anderson, Douglas R.; Davis, John M.
2002
Fixed point theorem of cone expansion and compression of functional type. Zbl 1013.47019
Anderson, Douglas R.; Avery, Richard I.
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.
2002
Eigenvalue intervals for a two-point boundary value problem on a measure chain. Zbl 1134.34310
Anderson, Douglas R.
2002
Taylor polynomials for nabla dynamic equations on time scales. Zbl 1026.34011
Anderson, Douglas R.
2002
Multiple positive solutions to a third-order discrete focal boundary value problem. Zbl 1001.39022
Anderson, D.; Avery, R. I.
2001
...and 9 more Documents
all top 5

### Cited by 867 Authors

 53 Anderson, Douglas Robert 28 Ge, Weigao 28 Goodrich, Christopher S. 27 Henderson, Johnny Lee 18 Graef, John R. 16 Onitsuka, Masakazu 16 Wong, Patricia J. Y. 15 Agarwal, Ravi P. 15 Avery, Richard I. 15 Sun, Hongrui 15 Sun, Jianping 14 Bohner, Martin J. 13 Luca, Rodica 13 Sang, Yanbin 13 Zhai, Chengbo 12 Su, Hua 12 Tuna, Hüseyin 12 Yaslan Karaca, Ilkay 11 Dogan, Abdulkadir 11 Kong, Lingju 10 Li, Wan-Tong 9 Šimon Hilscher, Roman 9 Yang, Bo 9 Zhang, Xuemei 8 Feng, Meiqiang 8 Han, Wei 8 Khan, Muhammad Adil 8 Ntouyas, Sotiris K. 8 O’Regan, Donal 8 Prasad, Kapula Rajendra 7 Allahverdiev, Bilender Paşaoğlu 7 Băleanu, Dumitru I. 7 Liu, Lishan 7 Liu, Yuji 7 Ma, Ruyun 7 Rao, Sabbavarapu Nageswara 7 Shi, Haiping 7 Sun, Yongping 7 Wang, Dabin 7 Zhang, Yuanbiao 6 Bai, Zhanbing 6 Chu, Yuming 6 Davis, John M. 6 Eloe, Paul W. 6 Gao, Chenghua 6 Hao, Zhaocai 6 Kaymakçalan, Billur 6 Liang, Jin 6 Liu, Xia 6 Lu, Yanqiong 6 Luo, Hua 6 Palamides, Alex P. 6 Sarikaya, Mehmet Zeki 6 Sun, Yuangong 6 Yang, Liu 6 Zafer, Ağacık 6 Zemánek, Petr 5 Anastassiou, George Angelos 5 Budak, Hüseyin 5 Došlý, Ondřej 5 Eldeeb, Ahmed Abdel-Moneim 5 He, Zhimin 5 Hong, Shihuang 5 Hu, Lianggen 5 Kang, Shugui 5 Li, Tongxing 5 Mebarki, Karima 5 Meng, Fanwei 5 Shen, Chunfang 5 Tisdell, Christopher C. 5 Wei, Zhongli 5 Xiao, Ti-Jun 5 Xu, Fuyi 5 Zhao, Junfang 5 Zhou, Xiaoliang 4 Adivar, Murat 4 Ahmad, Bashir 4 Al-saedi, Ahmed Eid Salem 4 Bai, Dingyong 4 Cabada, Alberto 4 Djebali, Smail 4 Heidarkhani, Shapour 4 Kayar, Zeynep 4 Khurshid, Yousaf 4 Li, Weinian 4 Li, Yongkun 4 Liu, Xueyan 4 Öztürk, Özkan 4 Pei, Minghe 4 Peterson, Allan C. 4 Popa, Dorian 4 Raffoul, Youssef Naim 4 Rao, Akella Kameswara 4 Sahir, Muhammad Jibril Shahab 4 Su, Youhui 4 Sun, Shurong 4 Thompson, Harold Bevan 4 Tian, Yu 4 Tokmak Fen, Fatma 4 Wang, Qiru ...and 767 more Authors
all top 5

### Cited in 156 Serials

 73 Advances in Difference Equations 55 Journal of Mathematical Analysis and Applications 51 Applied Mathematics and Computation 49 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 45 Computers & Mathematics with Applications 34 Journal of Difference Equations and Applications 34 Abstract and Applied Analysis 34 Boundary Value Problems 28 Journal of Computational and Applied Mathematics 25 Applied Mathematics Letters 24 Mathematical and Computer Modelling 23 Journal of Applied Mathematics and Computing 20 Discrete Dynamics in Nature and Society 16 Journal of Function Spaces 12 Differential Equations and Dynamical Systems 12 Journal of Inequalities and Applications 10 Rocky Mountain Journal of Mathematics 9 Mediterranean Journal of Mathematics 8 Turkish Journal of Mathematics 8 Journal of Fixed Point Theory and Applications 8 International Journal of Differential Equations 8 Open Mathematics 7 Filomat 7 Journal of Applied Mathematics 6 Mathematical Methods in the Applied Sciences 6 Results in Mathematics 6 Acta Mathematicae Applicatae Sinica. English Series 6 Nonlinear Analysis. Modelling and Control 5 Lithuanian Mathematical Journal 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 Communications in Nonlinear Science and Numerical Simulation 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 International Journal of Mathematics and Mathematical Sciences 4 Journal of Differential Equations 4 Topological Methods in Nonlinear Analysis 4 Mathematical Problems in Engineering 4 Nonlinear Analysis. Real World Applications 4 Differential Equations and Applications 4 AIMS Mathematics 3 Applicable Analysis 3 Journal of Mathematical Physics 3 Acta Applicandae Mathematicae 3 Aequationes Mathematicae 3 Applied Mathematics. Series B (English Edition) 3 Fractional Calculus & Applied Analysis 3 Qualitative Theory of Dynamical Systems 3 Fixed Point Theory and Applications 3 Inverse Problems in Science and Engineering 3 Journal of Nonlinear Science and Applications 3 Journal of Applied Analysis and Computation 2 Physica A 2 Ukrainian Mathematical Journal 2 Chaos, Solitons and Fractals 2 Archiv der Mathematik 2 Demonstratio Mathematica 2 Proceedings of the American Mathematical Society 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Acta Mathematica Hungarica 2 Bulletin of the Iranian Mathematical Society 2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 2 Applied Mathematical Modelling 2 International Journal of Computer Mathematics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Electronic Journal of Differential Equations (EJDE) 2 Bulletin des Sciences Mathématiques 2 Opuscula Mathematica 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Arab Journal of Mathematical Sciences 2 Journal of Applied Analysis 2 Nonlinear Dynamics 2 Positivity 2 Novi Sad Journal of Mathematics 2 Acta Mathematica Sinica. English Series 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Mathematical Modelling and Analysis 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Hacettepe Journal of Mathematics and Statistics 2 Fixed Point Theory 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 Journal of Mathematical Inequalities 2 Science China. Mathematics 2 Afrika Matematika 2 Arabian Journal of Mathematics 2 Caspian Journal of Mathematical Sciences 2 Electronic Journal of Mathematical Analysis and Applications EJMAA 1 Bulletin of the Australian Mathematical Society 1 Classical and Quantum Gravity 1 International Journal of Mathematical Education in Science and Technology 1 Indian Journal of Pure & Applied Mathematics 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Calcolo 1 Hiroshima Mathematical Journal 1 Journal of Functional Analysis 1 Kyungpook Mathematical Journal 1 Matematički Vesnik 1 Mathematics and Computers in Simulation ...and 56 more Serials
all top 5

### Cited in 38 Fields

 658 Ordinary differential equations (34-XX) 243 Operator theory (47-XX) 235 Difference and functional equations (39-XX) 123 Real functions (26-XX) 52 Partial differential equations (35-XX) 31 Integral equations (45-XX) 20 Numerical analysis (65-XX) 17 Dynamical systems and ergodic theory (37-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Mechanics of deformable solids (74-XX) 7 Biology and other natural sciences (92-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Integral transforms, operational calculus (44-XX) 5 Functional analysis (46-XX) 5 Systems theory; control (93-XX) 4 Approximations and expansions (41-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 3 General topology (54-XX) 3 Probability theory and stochastic processes (60-XX) 3 Fluid mechanics (76-XX) 3 Quantum theory (81-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX)