Edit Profile (opens in new tab) Anderson, Douglas Robert Co-Author Distance 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: 152 Publications since 1997, including 1 Book and 7 Additional arXiv Preprints Co-Authors: 54 Co-Authors with 99 Joint Publications 2,291 Co-Co-Authors all top 5 Co-Authors 46 single-authored 30 Avery, Richard I. 19 Onitsuka, Masakazu 17 Henderson, Johnny Lee 8 Hoffacker, Joan 6 Liu, Xueyan 5 Peterson, Allan C. 5 Saker, Samir H. 4 Tisdell, Christopher C. 3 Liu, Xiang 3 Osman, Mahmoud M. 3 Zafer, Ağacık 2 Bohner, Martin J. 2 Davis, John M. 2 Krueger, Robert J. 2 Minhós, Feliz Manuel 2 O’Regan, Donal 2 Ulness, Darin J. 2 Wang, Peiguang 2 Zhai, Chengbo 1 Agarwal, Ravi P. 1 Anderson, Tyler O. 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. 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 Otto, Jenna M. 1 Perreault, Brent 1 Rachůnková, Irena 1 Rassias, John Michael 1 Saied, Ahmed I. 1 Smyrlis, George 1 Tanner, Gregory M. 1 Tran, Hoainam 1 Ume, Jeong Sheok 1 White, Dustin L. 1 Wong, Patricia J. Y. 1 Wu, Guocheng 1 Yaslan Karaca, Ilkay all top 5 Serials 14 Electronic Journal of Differential Equations (EJDE) 13 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 Qualitative Theory of Dynamical Systems 4 Advances in Difference Equations 3 Rocky Mountain Journal of Mathematics 3 Results in Mathematics 3 Communications in Applied Analysis 2 Applied Mathematics Letters 2 Aequationes Mathematicae 2 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 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 Mathematische Nachrichten 1 Nonlinear Studies 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 Chaos 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 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 99 Ordinary differential equations (34-XX) 83 Difference and functional equations (39-XX) 29 Operator theory (47-XX) 22 Real functions (26-XX) 5 Numerical analysis (65-XX) 5 Systems theory; control (93-XX) 4 Partial differential equations (35-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 122 Publications have been cited 1,468 times in 994 Documents Cited by ▼ Year ▼ Solutions to second-order three-point problems on time scales. Zbl 1021.34011 Anderson, Douglas R. 81 2002 Multiple positive solutions for a three-point boundary value problem. Zbl 0906.34014 Anderson, D. 75 1998 Multiple solutions and eigenvalues for third-order right focal boundary value problems. Zbl 1003.34021 Anderson, Douglas R.; Davis, John M. 71 2002 Green’s function for a third-order generalized right focal problem. Zbl 1045.34008 Anderson, Douglas R. 70 2003 Properties of the Katugampola fractional derivative with potential application in quantum mechanics. Zbl 1323.26008 Anderson, Douglas R.; Ulness, Darin J. 65 2015 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 A sum operator equation and applications to nonlinear elastic beam equations and Lane-Emden-Fowler equations. Zbl 1207.47064 Zhai, Chengbo; Anderson, Douglas R. 34 2011 Nabla dynamic equations on time scales. Zbl 1032.39007 Anderson, Douglas; Bullock, John; Erbe, Lynn; Peterson, Allan; Tran, Hoainam 34 2003 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 Taylor’s formula and integral inequalities for conformable fractional derivatives. Zbl 1370.26036 Anderson, Douglas R. 29 2016 Higher-order self-adjoint boundary-value problems on time scales. Zbl 1098.39008 Anderson, Douglas R.; Guseinov, Gusein Sh.; Hoffacker, Joan 28 2006 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 Eigenvalue intervals for a two-point boundary value problem on a measure chain. Zbl 1134.34310 Anderson, Douglas R. 24 2002 Fractional-order boundary value problem with Sturm-Liouville boundary conditions. Zbl 1320.34006 Anderson, Douglas R.; Avery, Richard I. 23 2015 Existence of three solutions for a first-order problem with nonlinear nonlocal boundary conditions. Zbl 1314.34048 Anderson, Douglas R. 23 2013 Interval oscillation criteria for second-order forced delay dynamic equations with mixed nonlinearities. Zbl 1197.34117 Agarwal, Ravi P.; Anderson, Douglas R.; Zafer, Ağacık 22 2010 A discrete fourth-order Lidstone problem with parameters. Zbl 1172.39019 Anderson, Douglas R.; Minhós, Feliz 22 2009 Dynamic double integral inequalities in two independent variables on time scales. Zbl 1170.26306 Anderson, Douglas R. 20 2008 Best constant for Hyers-Ulam stability of second-order \(h\)-difference equations with constant coefficients. Zbl 1433.39005 Anderson, Douglas R.; Onitsuka, Masakazu 18 2019 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 Solvability of discrete Neumann boundary value problems. Zbl 1120.39014 Anderson, D. R.; Rachůnková, I.; Tisdell, C. C. 17 2007 Monotonicity results for nabla fractional \(h\)-difference operators. Zbl 1470.39042 Liu, Xiang; Du, Feifei; Anderson, Douglas; Jia, Baoguo 16 2021 Positive solutions to semi-positone second-order three-point problems on time scales. Zbl 1188.34119 Anderson, Douglas R.; Zhai, Chengbo 16 2010 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 15 2007 Existence of solutions for a cantilever beam problem. Zbl 1115.34019 Anderson, Douglas R.; Hoffacker, Joan 15 2006 Discrete third-order three-point right-focal boundary value problems. Zbl 1054.39010 Anderson, D. R. 15 2003 On the nature of the conformable derivative and its applications to physics. Zbl 1485.26003 Anderson, Douglas R.; Camrud, Evan; Ulness, Darin J. 15 2019 Hyers-Ulam stability of first-order homogeneous linear dynamic equations on time scales. Zbl 1401.34096 Anderson, Douglas R.; Onitsuka, Masakazu 14 2018 Positivity of Green’s function for an \(n\)-point right focal boundary value problem on measure chains. Zbl 1042.39504 Anderson, D. 14 2000 Delay dynamic equations with stability. Zbl 1134.39011 Anderson, Douglas R.; Krueger, Robert J.; Peterson, Allan C. 14 2006 Time-scale integral inequalities. Zbl 1089.26009 Anderson, Douglas R. 13 2005 Higher-order three-point boundary value problem on time scales. Zbl 1165.39300 Anderson, Douglas R.; Karaca, Ilkay Yaslan 13 2008 Multiple periodic solutions for a second-order problem on periodic time scales. Zbl 1060.34022 Anderson, Douglas R. 13 2005 Oscillation of second-order forced functional dynamic equations with oscillatory potentials. Zbl 1123.34051 Anderson, Douglas R. 12 2007 Hyers-Ulam stability for a discrete time scale with two step sizes. Zbl 1428.34136 Anderson, Douglas R.; Onitsuka, Masakazu 12 2019 Functional expansion-compression fixed point theorem of Leggett-Williams type. Zbl 1226.47054 Anderson, Douglas R.; Avery, Richard I.; Henderson, Johnny 12 2010 Taylor polynomials for nabla dynamic equations on time scales. Zbl 1026.34011 Anderson, Douglas R. 12 2002 Positive solutions for second-order semipositone problems on time scales. Zbl 1189.34167 Anderson, Douglas R.; Wong, Patricia J. Y. 12 2009 Twin \(n\)-point boundary value problems. Zbl 1061.34008 Anderson, D. R. 12 2004 Titchmarsh-Sims-Weyl theory for complex Hamiltonian systems on Sturmian time scales. Zbl 1205.34125 Anderson, Douglas R. 11 2011 Hyers-Ulam stability for quantum equations of Euler type. Zbl 1459.39051 Anderson, Douglas R.; Onitsuka, Masakazu 11 2020 Nonlinear triple-point problems on time scales. Zbl 1053.34014 Anderson, Douglas R. 10 2004 Hyers-Ulam stability and best constant for Cayley \(h\)-difference equations. Zbl 1472.39023 Anderson, Douglas R.; Onitsuka, Masakazu 9 2020 A 2\(n\)th order linear difference equation. Zbl 0903.39001 Anderson, D. 9 1998 Green’s function for an even order mixed derivative problem on time scales. Zbl 1049.39019 Anderson, Douglas R.; Hoffacker, Joan 9 2003 Existence of solutions for a first-order \(p\)-Laplacian BVP on time scales. Zbl 1166.34302 Anderson, Douglas R. 9 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. 8 2010 Eigenvalue intervals for even-order Sturm-Liouville dynamic equations. Zbl 1084.34025 Anderson, Douglas R. 8 2005 Oscillation and nonoscillation criteria for two-dimensional time-scale systems of first-order nonlinear dynamic equations. Zbl 1185.34140 Anderson, Douglas R. 8 2009 Second-order \(n\)-point eigenvalue problems on time scales. Zbl 1133.39013 Anderson, Douglas R.; Ma, Ruyun 8 2006 Nonlinear oscillation of second-order dynamic equations on time scales. Zbl 1179.34104 Anderson, Douglas R.; Zafer, A. 8 2009 Interval oscillation criteria for forced Emden-Fowler functional dynamic equations with oscillatory potential. Zbl 1273.34095 Anderson, Douglas R.; Saker, Samir H. 8 2013 Interval criteria for oscillation of nonlinear second-order dynamic equations on time scales. Zbl 1167.34008 Anderson, Douglas R. 8 2008 Best constant for Hyers-Ulam stability of two step sizes linear difference equations. Zbl 1459.39036 Anderson, Douglas R.; Onitsuka, Masakazu 7 2021 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 Solvability for a third-order three-point BVP on time scales. Zbl 1171.34306 Anderson, Douglas R.; Smyrlis, George 7 2009 On stability and feedback control of discrete fractional order singular systems with multiple time-varying delays. Zbl 1498.93600 Liu, Xiang; Wang, Peiguang; Anderson, Douglas R. 7 2022 Hyers-Ulam stability for differential systems with \(2\times 2\) constant coefficient matrix. Zbl 1502.34020 Anderson, Douglas R.; Onitsuka, Masakazu 7 2022 Extension of a second-order multi-point problem to time scales. Zbl 1048.39010 Anderson, Douglas R. 6 2003 Existence of a positive solution to a right focal boundary value problem. Zbl 1202.34054 Avery, Richard I.; Henderson, Johnny; Anderson, Douglas R. 6 2010 An extension of the compression-expansion fixed point theorem of functional type. Zbl 1362.47040 Avery, Richard I.; Anderson, Douglas R.; Henderson, Johnny 6 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 6 2020 Hyers-Ulam stability for quantum equations. Zbl 1466.39004 Anderson, Douglas R.; Onitsuka, Masakazu 6 2021 Asymptotic properties of solutions to a \(2n\)th-order differential equation on a time scale. Zbl 0963.34042 Anderson, D.; Peterson, A. 6 2000 Discrete trigonometric matrix functions. Zbl 0888.39010 Anderson, Douglas R. 6 1997 Basins of attraction in a Cournot duopoly model of Kopel. Zbl 1111.39010 Anderson, Douglas R.; Myran, Nicholas G.; White, Dustin L. 6 2005 Existence of solutions for nonlinear multi-point problems on time scales. Zbl 1104.34018 Anderson, Douglas R. 6 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 Nonlocal initial value problem for first-order dynamic equations on time scales. Zbl 1180.34101 Anderson, Douglas R.; Boucherif, Abdelkader 6 2009 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 Third-order right-focal multi-point problems on time scales. Zbl 1123.34014 Anderson, Douglas R.; Cabada, Alberto 5 2006 Global asymptotic behavior for delay dynamic equations. Zbl 1125.34058 Anderson, Douglas R.; Kenz, Zackary R. 5 2007 Hyers-Ulam stability for Cayley quantum equations and its application to \(h\)-difference equations. Zbl 1471.39012 Anderson, Douglas R.; Onitsuka, Masakazu 5 2021 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. 5 2006 Existence and uniqueness of solutions to discrete diffusion equations. Zbl 1077.39014 Anderson, D. R.; Avery, R. I.; Davis, J. M. 5 2003 Conformable dynamic equations on time scales. Zbl 1471.34001 Anderson, Douglas R.; Georgiev, Svetlin G. 5 2020 A multivalued logarithm on time scales. Zbl 1508.26023 Anderson, Douglas R.; Bohner, Martin 5 2021 Existence of solutions to a third-order multi-point problem on time scales. Zbl 1138.34305 Anderson, Douglas R.; Hoffacker, Joan 4 2007 Some new characterizations of weights in dynamic inequalities involving monotonic functions. Zbl 1473.26031 Saker, Samir H.; Saied, Ahmed I.; Anderson, Douglas R. 4 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. 4 2011 Green’s function for an \(n\)-point discrete right focal boundary value problem. Zbl 0958.39006 Anderson, Doug 4 1998 Positive periodic time-scale solutions for functional dynamic equations. Zbl 1098.39009 Anderson, Douglas R.; Hoffacker, Joan 4 2006 Existence of solutions for first-order multi-point problems with changing-sign nonlinearity. Zbl 1158.34006 Anderson, Douglas R. 4 2008 A stacked delta-nabla self-adjoint problem of even order. Zbl 1106.39308 Anderson, D. R.; Hoffacker, J. 4 2003 Higher-dimensional functional dynamic equations on periodic time scales. Zbl 1145.34359 Anderson, Douglas R.; Hoffacker, Joan 3 2008 Third-order nonlocal problems with sign-changing nonlinearity on time scales. Zbl 1121.34031 Anderson, Douglas R.; Tisdell, Christopher C. 3 2007 Hyers-Ulam stability of second-order linear dynamic equations on time scales. Zbl 1273.34094 Anderson, Douglas R.; Gates, Ben; Heuer, Dylan 3 2012 Hyers-Ulam stability of higher-order Cauchy-Euler dynamic equations on time scales. Zbl 1310.34121 Anderson, Douglas R. 3 2014 Even-order self-adjoint boundary value problems for proportional derivatives. Zbl 1373.34042 Anderson, Douglas R. 3 2017 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. 3 2022 Fixed point theorem utilizing operators and functionals. Zbl 1340.47106 Anderson, Douglas; Avery, R. I.; Henderson, Johnny; Liu, Xueyan 3 2012 Even order self adjoint time scale problems. Zbl 1075.34010 Anderson, Douglas R.; Hoffacker, Joan 3 2005 Ulam stability for nonautonomous quantum equations. Zbl 1504.39014 Anderson, Douglas R.; Onitsuka, Masakazu 3 2021 Asymptotic behavior of solutions for neutral dynamic equations on time scales. Zbl 1139.39007 Anderson, Douglas R. 2 2006 Normalized prepared bases for discrete symplectic matrix systems. Zbl 0940.39012 Anderson, Douglas 2 1999 Equilibrium stability for the discrete diamond-alpha operator. Zbl 1530.39008 Anderson, Douglas R.; Onitsuka, Masakazu 2 2023 On stability and feedback control of discrete fractional order singular systems with multiple time-varying delays. Zbl 1498.93600 Liu, Xiang; Wang, Peiguang; Anderson, Douglas R. 7 2022 Hyers-Ulam stability for differential systems with \(2\times 2\) constant coefficient matrix. Zbl 1502.34020 Anderson, Douglas R.; Onitsuka, Masakazu 7 2022 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. 3 2022 Two weighted higher-order dynamic inequalities of Opial type with two functions. Zbl 1490.26022 Osman, M. M.; Saker, S. H.; Anderson, D. R. 2 2022 On a new class of dynamic Hardy-type inequalities and some related generalizations. Zbl 1504.26009 Saker, S. H.; Osman, M. M.; Anderson, Douglas R. 1 2022 Monotonicity results for nabla fractional \(h\)-difference operators. Zbl 1470.39042 Liu, Xiang; Du, Feifei; Anderson, Douglas; Jia, Baoguo 16 2021 Best constant for Hyers-Ulam stability of two step sizes linear difference equations. Zbl 1459.39036 Anderson, Douglas R.; Onitsuka, Masakazu 7 2021 Hyers-Ulam stability for quantum equations. Zbl 1466.39004 Anderson, Douglas R.; Onitsuka, Masakazu 6 2021 Hyers-Ulam stability for Cayley quantum equations and its application to \(h\)-difference equations. Zbl 1471.39012 Anderson, Douglas R.; Onitsuka, Masakazu 5 2021 A multivalued logarithm on time scales. Zbl 1508.26023 Anderson, Douglas R.; Bohner, Martin 5 2021 Some new characterizations of weights in dynamic inequalities involving monotonic functions. Zbl 1473.26031 Saker, Samir H.; Saied, Ahmed I.; Anderson, Douglas R. 4 2021 Ulam stability for nonautonomous quantum equations. Zbl 1504.39014 Anderson, Douglas R.; Onitsuka, Masakazu 3 2021 Hyers-Ulam stability for quantum equations of Euler type. Zbl 1459.39051 Anderson, Douglas R.; Onitsuka, Masakazu 11 2020 Hyers-Ulam stability and best constant for Cayley \(h\)-difference equations. Zbl 1472.39023 Anderson, Douglas R.; Onitsuka, Masakazu 9 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 6 2020 Conformable dynamic equations on time scales. Zbl 1471.34001 Anderson, Douglas R.; Georgiev, Svetlin G. 5 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. 2 2020 Best constant for Hyers-Ulam stability of second-order \(h\)-difference equations with constant coefficients. Zbl 1433.39005 Anderson, Douglas R.; Onitsuka, Masakazu 18 2019 On the nature of the conformable derivative and its applications to physics. Zbl 1485.26003 Anderson, Douglas R.; Camrud, Evan; Ulness, Darin J. 15 2019 Hyers-Ulam stability for a discrete time scale with two step sizes. Zbl 1428.34136 Anderson, Douglas R.; Onitsuka, Masakazu 12 2019 Hyers-Ulam stability of a discrete diamond-alpha derivative equation. Zbl 1448.39033 Anderson, Douglas R.; Onitsuka, Masakazu 2 2019 Hyers-Ulam stability for a first-order linear proportional nabla difference operator. Zbl 1478.39028 Anderson, Douglas R. 1 2019 Hyers-Ulam stability of first-order homogeneous linear dynamic equations on time scales. Zbl 1401.34096 Anderson, Douglas R.; Onitsuka, Masakazu 14 2018 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 Even-order self-adjoint boundary value problems for proportional derivatives. Zbl 1373.34042 Anderson, Douglas R. 3 2017 Taylor’s formula and integral inequalities for conformable fractional derivatives. Zbl 1370.26036 Anderson, Douglas R. 29 2016 An extension of the compression-expansion fixed point theorem of functional type. Zbl 1362.47040 Avery, Richard I.; Anderson, Douglas R.; Henderson, Johnny 6 2016 Positive Green’s functions for boundary value problems with conformable derivatives. Zbl 1371.34007 Anderson, Douglas R. 2 2016 Discrete approaches to continuous boundary value problems: existence and convergence of solutions. Zbl 1470.39010 Anderson, Douglas R.; Tisdell, Christopher C. 2 2016 Properties of the Katugampola fractional derivative with potential application in quantum mechanics. Zbl 1323.26008 Anderson, Douglas R.; Ulness, Darin J. 65 2015 Fractional-order boundary value problem with Sturm-Liouville boundary conditions. Zbl 1320.34006 Anderson, Douglas R.; Avery, Richard I. 23 2015 Hyers-Ulam stability of higher-order Cauchy-Euler dynamic equations on time scales. Zbl 1310.34121 Anderson, Douglas R. 3 2014 Application of the omitted ray fixed point theorem. Zbl 1324.47092 Anderson, Douglas; Avery, R. I. 2 2014 Existence of three solutions for a first-order problem with nonlinear nonlocal boundary conditions. Zbl 1314.34048 Anderson, Douglas R. 23 2013 Interval oscillation criteria for forced Emden-Fowler functional dynamic equations with oscillatory potential. Zbl 1273.34095 Anderson, Douglas R.; Saker, Samir H. 8 2013 Hyers-Ulam stability of second-order linear dynamic equations on time scales. Zbl 1273.34094 Anderson, Douglas R.; Gates, Ben; Heuer, Dylan 3 2012 Fixed point theorem utilizing operators and functionals. Zbl 1340.47106 Anderson, Douglas; Avery, R. I.; Henderson, Johnny; Liu, Xueyan 3 2012 Multiple fixed point theorems utilizing operators and functionals. Zbl 1294.47074 Anderson, Douglas; Avery, Richard; Henderson, Johnny; Liu, Xueyan 1 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. 34 2011 Titchmarsh-Sims-Weyl theory for complex Hamiltonian systems on Sturmian time scales. Zbl 1205.34125 Anderson, Douglas R. 11 2011 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 Alternative solutions of inhomogeneous second-order linear dynamic equations on time scales. Zbl 1232.34123 Anderson, Douglas R.; Tisdell, Christopher C. 2 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 22 2010 Positive solutions to semi-positone second-order three-point problems on time scales. Zbl 1188.34119 Anderson, Douglas R.; Zhai, Chengbo 16 2010 Functional expansion-compression fixed point theorem of Leggett-Williams type. Zbl 1226.47054 Anderson, Douglas R.; Avery, Richard I.; Henderson, Johnny 12 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. 8 2010 Existence of a positive solution to a right focal boundary value problem. Zbl 1202.34054 Avery, Richard I.; Henderson, Johnny; Anderson, Douglas R. 6 2010 A discrete fourth-order Lidstone problem with parameters. Zbl 1172.39019 Anderson, Douglas R.; Minhós, Feliz 22 2009 Positive solutions for second-order semipositone problems on time scales. Zbl 1189.34167 Anderson, Douglas R.; Wong, Patricia J. Y. 12 2009 Oscillation and nonoscillation criteria for two-dimensional time-scale systems of first-order nonlinear dynamic equations. Zbl 1185.34140 Anderson, Douglas R. 8 2009 Nonlinear oscillation of second-order dynamic equations on time scales. Zbl 1179.34104 Anderson, Douglas R.; Zafer, A. 8 2009 Solvability for a third-order three-point BVP on time scales. Zbl 1171.34306 Anderson, Douglas R.; Smyrlis, George 7 2009 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 Nonlocal initial value problem for first-order dynamic equations on time scales. Zbl 1180.34101 Anderson, Douglas R.; Boucherif, Abdelkader 6 2009 Dominant and recessive solutions of self-adjoint matrix systems on time scales. Zbl 1205.34124 Anderson, Douglas R. 1 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. 1 2009 Dynamic double integral inequalities in two independent variables on time scales. Zbl 1170.26306 Anderson, Douglas R. 20 2008 Higher-order three-point boundary value problem on time scales. Zbl 1165.39300 Anderson, Douglas R.; Karaca, Ilkay Yaslan 13 2008 Existence of solutions for a first-order \(p\)-Laplacian BVP on time scales. Zbl 1166.34302 Anderson, Douglas R. 9 2008 Interval criteria for oscillation of nonlinear second-order dynamic equations on time scales. Zbl 1167.34008 Anderson, Douglas R. 8 2008 Existence of solutions for first-order multi-point problems with changing-sign nonlinearity. Zbl 1158.34006 Anderson, Douglas R. 4 2008 Higher-dimensional functional dynamic equations on periodic time scales. Zbl 1145.34359 Anderson, Douglas R.; Hoffacker, Joan 3 2008 Global stability for nonlinear dynamic equations with variable coefficients. Zbl 1152.34033 Anderson, Douglas R. 2 2008 Solvability of discrete Neumann boundary value problems. Zbl 1120.39014 Anderson, D. R.; Rachůnková, I.; Tisdell, C. C. 17 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 15 2007 Oscillation of second-order forced functional dynamic equations with oscillatory potentials. Zbl 1123.34051 Anderson, Douglas R. 12 2007 Global asymptotic behavior for delay dynamic equations. Zbl 1125.34058 Anderson, Douglas R.; Kenz, Zackary R. 5 2007 Existence of solutions to a third-order multi-point problem on time scales. Zbl 1138.34305 Anderson, Douglas R.; Hoffacker, Joan 4 2007 Third-order nonlocal problems with sign-changing nonlinearity on time scales. Zbl 1121.34031 Anderson, Douglas R.; Tisdell, Christopher C. 3 2007 Young’s integral inequality on time scales revisited. Zbl 1197.26022 Anderson, Douglas R. 1 2007 \(q\)-dominant and \(q\)-recessive matrix solutions for linear quantum systems. Zbl 1178.39008 Anderson, D. R.; Moats, L. M. 1 2007 Self-adjoint matrix equations on time scales. Zbl 1143.34005 Anderson, Douglas R.; Buchholz, Bobbi 1 2007 Higher-order self-adjoint boundary-value problems on time scales. Zbl 1098.39008 Anderson, Douglas R.; Guseinov, Gusein Sh.; Hoffacker, Joan 28 2006 A fourth-order four-point right focal boundary value problem. Zbl 1137.34008 Anderson, Douglas R.; Avery, Richard I. 17 2006 Existence of solutions for a cantilever beam problem. Zbl 1115.34019 Anderson, Douglas R.; Hoffacker, Joan 15 2006 Delay dynamic equations with stability. Zbl 1134.39011 Anderson, Douglas R.; Krueger, Robert J.; Peterson, Allan C. 14 2006 Second-order \(n\)-point eigenvalue problems on time scales. Zbl 1133.39013 Anderson, Douglas R.; Ma, Ruyun 8 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 Existence of solutions for nonlinear multi-point problems on time scales. Zbl 1104.34018 Anderson, Douglas R. 6 2006 Third-order right-focal multi-point problems on time scales. Zbl 1123.34014 Anderson, Douglas R.; Cabada, Alberto 5 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. 5 2006 Positive periodic time-scale solutions for functional dynamic equations. Zbl 1098.39009 Anderson, Douglas R.; Hoffacker, Joan 4 2006 Asymptotic behavior of solutions for neutral dynamic equations on time scales. Zbl 1139.39007 Anderson, Douglas R. 2 2006 Boundedness and vanishing of solutions for a forced delay dynamic equation. Zbl 1139.39006 Anderson, Douglas R. 1 2006 Second-order \(n\)-point problems on time scales with changing-sign nonlinearity. Zbl 1119.34310 Anderson, Douglas R. 1 2006 Time-scale integral inequalities. Zbl 1089.26009 Anderson, Douglas R. 13 2005 Multiple periodic solutions for a second-order problem on periodic time scales. Zbl 1060.34022 Anderson, Douglas R. 13 2005 Eigenvalue intervals for even-order Sturm-Liouville dynamic equations. Zbl 1084.34025 Anderson, Douglas R. 8 2005 Basins of attraction in a Cournot duopoly model of Kopel. Zbl 1111.39010 Anderson, Douglas R.; Myran, Nicholas G.; White, Dustin L. 6 2005 Even order self adjoint time scale problems. Zbl 1075.34010 Anderson, Douglas R.; Hoffacker, Joan 3 2005 Existence of solutions for a one dimensional \(p\)-Laplacian on time-scales. Zbl 1058.39010 Anderson, Douglas; Avery, Richard; Henderson, Johnny 63 2004 An even-order three-point boundary value problem on time scales. Zbl 1056.34013 Anderson, Douglas R.; Avery, Richard I. 18 2004 Twin \(n\)-point boundary value problems. Zbl 1061.34008 Anderson, D. R. 12 2004 Nonlinear triple-point problems on time scales. Zbl 1053.34014 Anderson, Douglas R. 10 2004 Green’s function for a third-order generalized right focal problem. Zbl 1045.34008 Anderson, Douglas R. 70 2003 Nabla dynamic equations on time scales. Zbl 1032.39007 Anderson, Douglas; Bullock, John; Erbe, Lynn; Peterson, Allan; Tran, Hoainam 34 2003 ...and 22 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,075 Authors 59 Anderson, Douglas Robert 29 Goodrich, Christopher S. 28 Ge, Weigao 28 Henderson, Johnny Lee 24 Onitsuka, Masakazu 20 Bohner, Martin J. 19 Graef, John R. 18 Agarwal, Ravi P. 17 Wong, Patricia J. Y. 16 Avery, Richard I. 15 Sun, Hongrui 15 Sun, Jianping 15 Tuna, Hüseyin 15 Zhai, Chengbo 14 Sang, Yanbin 13 Luca, Rodica 12 Kong, Lingju 12 Su, Hua 12 Yaslan Karaca, Ilkay 11 Dogan, Abdulkadir 11 O’Regan, Donal 10 Allahverdiev, Bilender Paşaoğlu 10 Khan, Muhammad Adil 10 Li, Wan-Tong 9 Băleanu, Dumitru I. 9 Šimon Hilscher, Roman 9 Yang, Bo 9 Zhang, Xuemei 8 Eldeeb, Ahmed Abdel-Moneim 8 Feng, Meiqiang 8 Han, Wei 8 Ntouyas, Sotiris K. 8 Prasad, Kapula Rajendra 8 Shi, Haiping 8 Zhang, Yuanbiao 7 Kaymakçalan, Billur 7 Liu, Lishan 7 Liu, Yuji 7 Ma, Ruyun 7 Rao, Sabbavarapu Nageswara 7 Sahir, Muhammad Jibril Shahab 7 Sun, Yongping 7 Wang, Dabin 7 Zemánek, Petr 6 Bai, Zhanbing 6 Cabada, Alberto 6 Chu, Yuming 6 Davis, John M. 6 Eloe, Paul W. 6 Gao, Chenghua 6 Hao, Zhaocai 6 Liang, Jin 6 Liu, Xia 6 Lu, Yanqiong 6 Luo, Hua 6 Mebarki, Karima 6 Palamides, Alex P. 6 Sarikaya, Mehmet Zeki 6 Sun, Yuangong 6 Yang, Liu 6 Zafer, Ağacık 5 Adivar, Murat 5 Anastassiou, George Angelos 5 Budak, Hüseyin 5 Došlý, Ondřej 5 He, Zhimin 5 Heidarkhani, Shapour 5 Hong, Shihuang 5 Hu, Lianggen 5 Jonnalagadda, Jagan Mohan 5 Kang, Shugui 5 Kayar, Zeynep 5 Khurshid, Yousaf 5 Li, Tongxing 5 Meng, Fanwei 5 Shen, Chunfang 5 Tisdell, Christopher C. 5 Wei, Zhongli 5 Xiao, Ti-Jun 5 Xu, Fuyi 5 Zhang, Shuqin 5 Zhao, Junfang 5 Zhou, Xiaoliang 4 Abdeljawad, Thabet 4 Ahmad, Bashir 4 Al-saedi, Ahmed Eid Salem 4 Bai, Dingyong 4 Bendouma, Bouharket 4 Caristi, Giuseppe 4 Djebali, Smail 4 Haddouchi, Faouzi 4 Hammoudi, Ahmed 4 Li, Weinian 4 Li, Yongkun 4 Liu, Xueyan 4 Oganesyan, Gro R. 4 Öztürk, Özkan 4 Pei, Minghe 4 Peterson, Allan C. 4 Popa, Dorian ...and 975 more Authors all top 5 Cited in 181 Serials 78 Advances in Difference Equations 59 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 36 Boundary Value Problems 34 Journal of Difference Equations and Applications 34 Abstract and Applied Analysis 28 Journal of Computational and Applied Mathematics 26 Mathematical Methods in the Applied Sciences 25 Applied Mathematics Letters 24 Mathematical and Computer Modelling 23 Journal of Applied Mathematics and Computing 22 Discrete Dynamics in Nature and Society 17 Journal of Inequalities and Applications 17 Journal of Function Spaces 14 Differential Equations and Dynamical Systems 13 Rocky Mountain Journal of Mathematics 10 Mediterranean Journal of Mathematics 10 Open Mathematics 9 Results in Mathematics 9 Qualitative Theory of Dynamical Systems 8 Turkish Journal of Mathematics 8 Journal of Fixed Point Theory and Applications 8 International Journal of Differential Equations 7 Filomat 7 Communications in Nonlinear Science and Numerical Simulation 7 Nonlinear Analysis. 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Mathematics 2 Afrika Matematika 2 Arabian Journal of Mathematics 2 Caspian Journal of Mathematical Sciences 1 Bulletin of the Australian Mathematical Society 1 Classical and Quantum Gravity 1 International Journal of Mathematical Education in Science and Technology ...and 81 more Serials all top 5 Cited in 38 Fields 739 Ordinary differential equations (34-XX) 271 Operator theory (47-XX) 262 Difference and functional equations (39-XX) 168 Real functions (26-XX) 68 Partial differential equations (35-XX) 35 Integral equations (45-XX) 29 Numerical analysis (65-XX) 23 Dynamical systems and ergodic theory (37-XX) 10 Mechanics of deformable solids (74-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Biology and other natural sciences (92-XX) 8 Functional analysis (46-XX) 7 Integral transforms, operational calculus (44-XX) 7 Systems theory; control (93-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Probability theory and stochastic processes (60-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Special functions (33-XX) 5 Approximations and expansions (41-XX) 5 Quantum theory (81-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 General topology (54-XX) 4 Fluid mechanics (76-XX) 3 Functions of a complex variable (30-XX) 2 Combinatorics (05-XX) 2 Measure and integration (28-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of particles and systems (70-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 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX) Citations by Year