## Bohner, Martin J.

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 Author ID: bohner.martin-j Published as: Bohner, Martin; Bohner, M.; Bohner, Martin J. more...less Homepage: http://web.mst.edu/~bohner/ External Links: MGP · ORCID · ResearchGate · dblp
 Documents Indexed: 290 Publications since 1995, including 7 Books 7 Contributions as Editor Co-Authors: 192 Co-Authors with 279 Joint Publications 4,735 Co-Co-Authors
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all top 5

### Serials

 16 Journal of Difference Equations and Applications 13 Applied Mathematics and Computation 13 Dynamic Systems and Applications 12 Journal of Mathematical Analysis and Applications 9 Advances in Difference Equations 7 Applied Mathematics Letters 6 Computers & Mathematics with Applications 6 Journal of Inequalities and Applications 6 Mathematical Inequalities & Applications 5 Mathematical Methods in the Applied Sciences 4 Journal of Computational and Applied Mathematics 4 Proceedings of the American Mathematical Society 4 Mathematical and Computer Modelling 4 Communications in Nonlinear Science and Numerical Simulation 4 Applicable Analysis and Discrete Mathematics 3 Rocky Mountain Journal of Mathematics 3 Mathematische Nachrichten 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Electronic Journal of Differential Equations (EJDE) 3 Turkish Journal of Mathematics 3 Opuscula Mathematica 3 Methods of Functional Analysis and Topology 3 Abstract and Applied Analysis 3 Nonlinear Dynamics and Systems Theory 3 Mediterranean Journal of Mathematics 3 African Diaspora Journal of Mathematics 3 Journal of Mathematical Inequalities 3 International Journal of Dynamical Systems and Differential Equations 3 Springer Proceedings in Mathematics & Statistics 2 Applicable Analysis 2 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 2 Pacific Journal of Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 The Canadian Applied Mathematics Quarterly 2 Computational and Applied Mathematics 2 Georgian Mathematical Journal 2 Filomat 2 Methods and Applications of Analysis 2 Integral Transforms and Special Functions 2 Nonlinear Studies 2 Differential Equations and Dynamical Systems 2 Mathematica Moravica 2 Fractional Calculus & Applied Analysis 2 Discrete Dynamics in Nature and Society 2 Analysis (München) 2 Qualitative Theory of Dynamical Systems 2 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Hacettepe Journal of Mathematics and Statistics 2 Carpathian Journal of Mathematics 2 Boundary Value Problems 2 Journal of Applied Functional Analysis 2 Communications in Mathematical Analysis 2 Advances in Dynamical Systems and Applications 2 Nonlinear Analysis. Hybrid Systems 2 Science China. Mathematics 2 Nonautonomous Dynamical Systems 1 Mathematical Notes 1 Bulletin of Mathematical Biology 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 Automatica 1 Bulletin of the London Mathematical Society 1 Demonstratio Mathematica 1 Fasciculi Mathematici 1 Indian Journal of Mathematics 1 Journal of Differential Equations 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of the Korean Mathematical Society 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 Mathematica Slovaca 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Results in Mathematics 1 Transactions of the American Mathematical Society 1 Bulletin of the Korean Mathematical Society 1 Acta Mathematica Hungarica 1 Facta Universitatis. Series Mathematics and Informatics 1 SIAM Journal on Matrix Analysis and Applications 1 Mathematica Bohemica 1 Journal of Physics A: Mathematical and General 1 Prikladnaya Mekhanika 1 SIAM Review 1 Indagationes Mathematicae. New Series 1 Journal of Mathematical Sciences (New York) 1 ETNA. Electronic Transactions on Numerical Analysis 1 Dynamics of Continuous, Discrete and Impulsive Systems 1 Communications in Applied Analysis 1 Functional Differential Equations 1 Taiwanese Journal of Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Far East Journal of Applied Mathematics 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Journal of Nonlinear and Convex Analysis 1 The ANZIAM Journal 1 Journal of Nonlinear Mathematical Physics 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Decisions in Economics and Finance ...and 27 more Serials
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### Fields

 160 Ordinary differential equations (34-XX) 159 Difference and functional equations (39-XX) 57 Real functions (26-XX) 18 Systems theory; control (93-XX) 15 Dynamical systems and ergodic theory (37-XX) 14 Biology and other natural sciences (92-XX) 13 Operator theory (47-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 Partial differential equations (35-XX) 9 Integral equations (45-XX) 8 General and overarching topics; collections (00-XX) 8 Numerical analysis (65-XX) 7 Integral transforms, operational calculus (44-XX) 5 Measure and integration (28-XX) 5 Special functions (33-XX) 5 Probability theory and stochastic processes (60-XX) 4 Operations research, mathematical programming (90-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Differential geometry (53-XX) 2 Quantum theory (81-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX)

### Citations contained in zbMATH Open

257 Publications have been cited 7,154 times in 2,958 Documents Cited by Year
Dynamic equations on time scales. An introduction with applications. Zbl 0978.39001
Bohner, Martin; Peterson, Allan
2001
Advances in dynamic equations on time scales. Zbl 1025.34001
2003
Inequalities on time scales: a survey. Zbl 1021.34005
Agarwal, R.; Bohner, M.; Peterson, A.
2001
Basic calculus on time scales and some of its applications. Zbl 0927.39003
Agarwal, Ravi P.; Bohner, Martin
1999
Dynamic equations on time scales: A survey. Zbl 1020.39008
Agarwal, Ravi; Bohner, Martin; O’Regan, Donal; Peterson, Allan
2002
Sturm-Liouville eigenvalue problems on time scales. Zbl 0938.34015
Agarwal, Ravi P.; Bohner, Martin; Wong, Patricia J. Y.
1999
First and second order linear dynamic equations on time scales. Zbl 0993.39010
Bohner, Martin; Peterson, Allan
2001
Disconjugacy and transformations for symplectic systems. Zbl 0894.39005
Bohner, Martin; Došlý, Ondřej
1997
Oscillation of second order nonlinear dynamic equations on time scales. Zbl 1075.34028
Bohner, M.; Saker, S. H.
2004
Discrete oscillation theory. Zbl 1084.39001
Agarwal, Ravi P.; Bohner, Martin; Grace, Said R.; O’Regan, Donal
2005
Impulsive differential equations: periodic solutions and applications. Zbl 1309.93074
Li, Xiaodi; Bohner, Martin; Wang, Chuan-Kui
2015
Linear Hamiltonian difference systems: Disconjugacy and Jacobi-type conditions. Zbl 0855.39018
Bohner, Martin
1996
Existence of periodic solutions in predator-prey and competition dynamic systems. Zbl 1104.92057
Bohner, Martin; Fan, Meng; Zhang, Jimin
2006
Nonoscillation and oscillation. Theory for functional differential equations. Zbl 1068.34002
Agarwal, Ravi P.; Bohner, Martin; Li, Wan-Tong
2004
Oscillation of second order delay dynamic equations. Zbl 1126.39003
Agarwal, R. P.; Bohner, M.; Saker, S. H.
2005
Calculus of variations on time scales. Zbl 1069.39019
Bohner, Martin
2004
Pachpatte inequalities on time scales. Zbl 1086.34014
Akin-Bohner, Elvan; Bohner, Martin; Akin, Faysal
2005
Oscillation for nonlinear second order dynamic equations on a time scale. Zbl 1061.34018
Bohner, Martin; Erbe, Lynn; Peterson, Allan
2005
Some oscillation criteria for first order delay dynamic equations. Zbl 1080.39005
Bohner, Martin
2005
Half-linear dynamic equations. Zbl 1056.34049
Agarwal, R. P.; Bohner, M.; Řehák, P.
2003
Hamiltonian systems on time scales. Zbl 0966.39010
Ahlbrandt, Calvin D.; Bohner, Martin; Ridenhour, Jerry
2000
Partial differentiation on time scales. Zbl 1090.26004
Bohner, Martin; Guseinov, Gusein Sh.
2004
Oscillation of second-order strongly superlinear and strongly sublinear dynamic equations. Zbl 1221.34083
Grace, Said R.; Agarwal, Ravi P.; Bohner, Martin; O’Regan, Donal
2009
Fite-Hille-Wintner-type oscillation criteria for second-order half-linear dynamic equations with deviating arguments. Zbl 1395.34090
Bohner, Martin; Hassan, Taher S.; Li, Tongxing
2018
Oscillation criteria for a certain class of second order Emden-Fowler dynamic equations. Zbl 1177.34047
Akin-Bohner, Elvan; Bohner, Martin; Saker, Samir H.
2007
On the oscillation of second-order half-linear dynamic equations. Zbl 1170.34023
Grace, Said R.; Bohner, Martin; Agarwal, Ravi P.
2009
An oscillation theorem for discrete eigenvalue problems. Zbl 1060.39003
Bohner, Martin; Došlý, Ondřej; Kratz, Werner
2003
An impulsive delay differential inequality and applications. Zbl 1268.34159
Li, Xiaodi; Bohner, Martin
2012
Double integral calculus of variations on time scales. Zbl 1131.49019
Bohner, Martin; Guseinov, Gusein Sh.
2007
Quadratic functionals for second order matrix equations on time scales. Zbl 0938.49001
Agarwal, Ravi P.; Bohner, Martin
1998
Multivariable dynamic calculus on time scales. Zbl 1475.26001
Bohner, Martin; Georgiev, Svetlin G.
2016
Maximal regular boundary value problems in Banach-valued weighted space. Zbl 1081.35129
Agarwal, Ravi P.; Bohner, Martin; Shakhmurov, Veli B.
2005
Sturmian and spectral theory for discrete symplectic systems. Zbl 1167.39009
Bohner, Martin; Došlý, Ondřej; Kratz, Werner
2009
Multiple integration on time scales. Zbl 1095.26006
Bohner, Martin; Guseinov, Gusein Sh.
2005
Oscillation of second-order differential equations with a sublinear neutral term. Zbl 1324.34078
Agarwal, Ravi P.; Bohner, Martin; Li, Tongxing; Zhang, Chenghui
2014
Ostrowski inequalities on time scales. Zbl 1178.26020
Bohner, Martin; Matthews, Thomas
2008
New results for oscillatory behavior of even-order half-linear delay differential equations. Zbl 1263.34094
Zhang, Chenghui; Agarwal, Ravi P.; Bohner, Martin; Li, Tongxing
2013
A new approach in the study of oscillatory behavior of even-order neutral delay differential equations. Zbl 1334.34147
Agarwal, Ravi P.; Bohner, Martin; Li, Tongxing; Zhang, Chenghui
2013
Oscillation of second-order $$p$$-Laplace dynamic equations with a nonpositive neutral coefficient. Zbl 1321.34116
Bohner, Martin; Li, Tongxing
2014
Oscillation results for fourth-order nonlinear dynamic equations. Zbl 1260.34168
Zhang, Chenghui; Li, Tongxing; Agarwal, Ravi P.; Bohner, Martin
2012
The Grüss inequality on time scales. Zbl 1167.26317
Bohner, M.; Matthews, T.
2007
Oscillation of third-order nonlinear delay differential equations. Zbl 1286.34099
Zhang, Chenghui; Agarwal, Ravi P.; Bohner, Martin; Li, Tongxing
2013
The $$h$$-Laplace and $$q$$-Laplace transforms. Zbl 1188.44008
Bohner, Martin; Guseinov, Gusein Sh.
2010
Oscillation criteria for second-order neutral delay differential equations. Zbl 1413.34213
Bohner, Martin; Grace, Said; Jadlovská, Irena
2017
Improper integrals on time scales. Zbl 1058.39011
Bohner, Martin; Guseinov, Gusein Sh.
2003
The convolution on time scales. Zbl 1155.39010
Bohner, Martin; Guseinov, Gusein Sh.
2007
Discrete linear Hamiltonian eigenvalue problems. Zbl 0933.39033
Bohner, M.
1998
Kamenev-type criteria for nonlinear damped dynamic equations. Zbl 1328.34093
Bohner, Martin; Li, Tongxing
2015
Periodicity of scalar dynamic equations and applications to population models. Zbl 1179.34106
Bohner, Martin; Fan, Meng; Zhang, Jimin
2007
Oscillation of second-order Emden-Fowler neutral delay differential equations. Zbl 1308.34083
Agarwal, Ravi P.; Bohner, Martin; Li, Tongxing; Zhang, Chenghui
2014
Oscillation of second-order nonlinear neutral dynamic equations with noncanonical operators. Zbl 1318.34124
Zhang, Chenghui; Agarwal, Ravi P.; Bohner, Martin; Li, Tongxing
2015
Minkowski and Beckenbach-Dresher inequalities and functionals on time scales. Zbl 1277.26033
Bibi, Rabia; Bohner, Martin; Pečarić, Josip; Varošanec, Sanja
2013
Oscillation criteria for second-order dynamic equations on time scales. Zbl 1311.34174
Agarwal, Ravi P.; Bohner, Martin; Li, Tongxing; Zhang, Chenghui
2014
Lyapunov inequalities for time scales. Zbl 1088.34503
Bohner, Martin; Clark, Stephen; Ridenhour, Jerry
2002
Higher order dynamic equations on measure chains: Wronskians, disconjugacy, and interpolating families of functions. Zbl 0957.34033
Bohner, Martin; Eloe, Paul W.
2000
Exponential synchronization of chaotic neural networks with mixed delays and impulsive effects via output coupling with delay feedback. Zbl 1202.34128
Li, Xiaodi; Bohner, Martin
2010
Opial inequalities on time scales. Zbl 0992.34008
Bohner, Martin; Kaymakçalan, Billûr
2001
Global stability of complex-valued neural networks on time scales. Zbl 1258.34180
Bohner, Martin; Rao, V. Sree Hari
2011
Periodic solutions of functional dynamic equations with infinite delay. Zbl 1135.34335
Bi, Li; Bohner, Martin; Fan, Meng
2008
Oscillation criteria for perturbed nonlinear dynamic equations. Zbl 1112.34019
Bohner, M.; Saker, S. H.
2004
Some oscillation results for second-order neutral dynamic equations. Zbl 1275.34113
Li, Tongxing; Agarwal, Ravi P.; Bohner, Martin
2012
Oscillation of fourth-order delay dynamic equations. Zbl 1321.34121
Zhang, ChengHui; Agarwal, Ravi P.; Bohner, Martin; Li, TongXing
2015
Positive solutions and eigenvalues of conjugate boundary value problems. Zbl 0934.34008
Agarwal, Ravi P.; Bohner, Martin; Wong, Patricia J. Y.
1999
Time scale boundary value problems on infinite intervals. Zbl 1001.39026
Agarwal, Ravi P.; Bohner, Martin; O’Regan, Donal
2002
Asymptotic behavior of dynamic equations on time scales. Zbl 0972.39004
Bohner, Martin; Lutz, D. A.
2001
A Philos-type theorem for third-order nonlinear retarded dynamic equations. Zbl 1338.34172
Agarwal, Ravi P.; Bohner, Martin; Li, Tongxing; Zhang, Chenghui
2014
Oscillation and asymptotic behavior of third-order nonlinear retarded dynamic equations. Zbl 1311.34175
Agarwal, Ravi P.; Bohner, Martin; Tang, Shuhong; Li, Tongxing; Zhang, Chenghui
2012
A survey of exponential function on times scales. Zbl 1074.39018
Bohner, Martin; Peterson, Allan
2001
Hille and Nehari type criteria for third-order delay dynamic equations. Zbl 1282.34100
Agarwal, Ravi P.; Bohner, Martin; Li, Tongxing; Zhang, Chenghui
2013
The Beverton-Holt dynamic equation. Zbl 1138.39018
Bohner, Martin; Warth, Howard
2007
Multiple Lebesgue integration on time scales. Zbl 1139.39023
Bohner, Martin; Guseinov, Gusein Sh.
2006
Spectral analysis of $$q$$-difference equations with spectral singularities. Zbl 1134.39018
2006
Eigenvalues and eigenfunctions of discrete conjugate boundary value problems. Zbl 0934.39003
Agarwal, R. P.; Bohner, M.; Wong, P. J. Y.
1999
Integral inequalities on time scales via the theory of isotonic linear functionals. Zbl 1221.26026
Anwar, Matloob; Bibi, Rabia; Bohner, Martin; Pečarić, Josip
2011
Iterated oscillation criteria for delay dynamic equations of first order. Zbl 1160.39302
Bohner, M.; Karpuz, B.; Öcalan, Ö.
2008
Discrete linear Hamiltonian systems: A survey. Zbl 0942.39009
Agarwal, Ravi; Ahlbrandt, Calvin; Bohner, Martin; Peterson, Allan
1999
Controllability and observability of time-invariant linear dynamic systems. Zbl 1265.34334
Bohner, Martin; Wintz, Nick
2012
Singular second-order multipoint dynamic boundary value problems with mixed derivatives. Zbl 1139.39024
Bohner, Martin; Luo, Hua
2006
The Kalman filter for linear systems on time scales. Zbl 1306.93071
Bohner, Martin; Wintz, Nick
2013
Asymptotic behavior of second-order dynamic equations. Zbl 1124.39003
Bohner, Martin; Stević, Stevo
2007
Stochastic dynamic equations on general time scales. Zbl 1292.34087
Bohner, Martin; Stanzhytskyi, Olexandr M.; Bratochkina, Anastasiia O.
2013
Laplace transform and $$Z$$-transform: Unification and extension. Zbl 1031.44001
Bohner, Martin; Peterson, Allan
2002
Some dynamic Hardy-type inequalities with general kernel. Zbl 1294.26020
Bohner, Martin; Nosheen, Ammara; Pečarić, Josip; Younus, Awais
2014
Oscillation of third-order nonlinear damped delay differential equations. Zbl 1410.34193
Bohner, Martin; Grace, Said R.; Sağer, Ilgin; Tunç, Ercan
2016
Properties of the Laplace transform on time scales with arbitrary graininess. Zbl 1236.44002
Bohner, Martin; Guseinov, Gusein Sh.; Karpuz, Başak
2011
Floquet theory for $$q$$-difference equations. Zbl 1321.39010
Bohner, Martin; Chieochan, Rotchana
2012
Floquet theory and stability of nonlinear integro-differential equations. Zbl 1095.45004
Agarwal, R.; Bohner, M.; Domoshnitsky, A.; Goltser, Y.
2005
On disconjugacy for Sturm-Liouville difference equations. Zbl 0856.39019
Bohner, Martin
1996
Ulam-Hyers stability of Caputo fractional difference equations. Zbl 1430.39007
Chen, Churong; Bohner, Martin; Jia, Baoguo
2019
Positive semidefiniteness of discrete quadratic functionals. Zbl 1040.39010
Bohner, Martin; Došlý, Ondřej; Kratz, Werner
2003
Oscillatory behavior of second-order half-linear damped dynamic equations. Zbl 1410.34190
Agarwal, Ravi P.; Bohner, Martin; Li, Tongxing
2015
On analytical solutions of the Black-Scholes equation. Zbl 1159.91014
Bohner, Martin; Zheng, Yao
2009
Even-order half-linear advanced differential equations: improved criteria in oscillatory and asymptotic properties. Zbl 1410.34191
Agarwal, Ravi P.; Bohner, Martin; Li, Tongxing; Zhang, Chenghui
2015
New oscillation results for second-order neutral delay dynamic equations. Zbl 1377.34090
Zhang, Chenghui; Agarwal, Ravi P.; Bohner, Martin; Li, Tongxing
2012
A Sturmian theorem for recessive solutions of linear Hamiltonian difference systems. Zbl 0933.39034
Bohner, M.; Došlý, O.; Kratz, W.
1999
Discrete Reid Roundabout Theorems. Zbl 0946.39001
Bohner, Martin; Došlý, Ondřej; Kratz, Werner
1999
Oscillation and nonoscillation of forced second order dynamic equations. Zbl 1160.34029
Bohner, Martin; Tisdell, Christopher C.
2007
Integral inequalities and their applications to the calculus of variations on time scales. Zbl 1190.26015
Bohner, Martin J.; Ferreira, Rui A. C.; Torres, Delfim F. M.
2010
Inverse problems for Sturm-Liouville difference equations. Zbl 1461.39003
Bohner, Martin; Koyunbakan, Hikmet
2016
Trigonometric transformations of symplectic difference systems. Zbl 0956.39011
Bohner, Martin; Došlý, Ondřej
2000
Qualitative analysis of integro-differential equations with variable retardation. Zbl 1496.45007
Bohner, Martin; Tunç, Osman
2022
Oscillation of noncanonical second-order advanced differential equations via canonical transform. Zbl 07532053
Bohner, Martin; Vidhyaa, Kumar S.; Thandapani, Ethiraju
2022
Stability for generalized Caputo proportional fractional delay integro-differential equations. Zbl 1490.34080
Bohner, Martin; Hristova, Snezhana
2022
Qualitative analysis of Caputo fractional integro-differential equations with constant delays. Zbl 1476.34112
Bohner, Martin; Tunç, Osman; Tunç, Cemil
2021
Lyapunov inequalities and applications. Zbl 1470.35001
Agarwal, Ravi P.; Bohner, Martin; Özbekler, Abdullah
2021
Oscillation of nonlinear third-order difference equations with mixed neutral terms. Zbl 1485.39020
Alzabut, Jehad; Bohner, Martin; Grace, Said R.
2021
Discrete fractional boundary value problems and inequalities. Zbl 07443872
Bohner, Martin; Fewster-Young, Nick
2021
Hyers-Ulam and Hyers-Ulam-Rassias stability of first-order linear dynamic equations. Zbl 1474.34624
Alghamdi, Maryam A.; Aljehani, Alaa; Bohner, Martin; Hamza, Alaa E.
2021
First-order nonlinear dynamic initial value problems. Zbl 1482.34208
Bohner, Martin; Tikare, Sanket; dos Santos, Iguer Luis Domini
2021
Hyers-Ulam and Hyers-Ulam-Rassias stability of first-order nonlinear dynamic equations. Zbl 1471.34171
Alghamdi, Maryam A.; Alharbi, Mymonah; Bohner, Martin; Hamza, Alaa E.
2021
A critical point approach for a second-order dynamic Sturm-Liouville boundary value problem with $$p$$-Laplacian. Zbl 07424984
Heidarkhani, Shapour; Bohner, Martin; Caristi, Giuseppe; Ayazi, Farahnaz
2021
Existence results for dynamic Sturm-Liouville boundary value problems via variational methods. Zbl 07424990
Barilla, David; Bohner, Martin; Heidarkhani, Shapour; Moradi, Shahin
2021
Almost periodic solutions of Cohen-Grossberg neural networks with time-varying delay and variable impulsive perturbations. Zbl 1455.34071
Bohner, Martin; Stamov, Gani Tr.; Stamova, Ivanka M.
2020
Existence and uniqueness of solutions for nonlinear Caputo fractional difference equations. Zbl 1450.39002
Chen, Churong; Bohner, Martin; Jia, Baoguo
2020
Sharp oscillation criteria for second-order neutral delay differential equations. Zbl 1462.34093
Bohner, Martin; Grace, Said R.; Jadlovská, Irena
2020
Caputo fractional continuous cobweb models. Zbl 1436.34044
Chen, Churong; Bohner, Martin; Jia, Baoguo
2020
Impulsive synchronization of time-scales complex networks with time-varying topology. Zbl 1454.34125
Pei, Yong; Bohner, Martin; Pi, Dechang
2020
The Euler method for dynamic equations on time scales. Zbl 1451.65089
Bohner, Martin; Erhan, Inci; Georgiev, Svetlin
2020
Quadratic programming problems on time scales. Zbl 1477.90053
Al-Salih, Rasheed; Bohner, Martin
2020
Ulam-Hyers stability of Caputo fractional difference equations. Zbl 1430.39007
Chen, Churong; Bohner, Martin; Jia, Baoguo
2019
Dynamic cobweb models with conformable fractional derivatives. Zbl 1426.26009
Bohner, Martin; Hatipoğlu, Veysel Fuat
2019
Exact solution to a dynamic SIR model. Zbl 1425.92177
Bohner, Martin; Streipert, Sabrina; Torres, Delfim F. M.
2019
Method of upper and lower solutions for nonlinear Caputo fractional difference equations and its applications. Zbl 07192389
Chen, Churong; Bohner, Martin; Jia, Baoguo
2019
Existence of at least one homoclinic solution for a nonlinear second-order difference equation. Zbl 1476.39002
Bohner, Martin; Caristi, Giuseppe; Heidarkhani, Shapour; Moradi, Shahin
2019
Oscillation of second-order nonlinear difference equations with sublinear neutral term. Zbl 1474.39020
Bohner, Martin; El-Morshedy, Hassan A.; Grace, Said R.; Sağer, Ilgin
2019
Oscillation criteria for second-order differential equations with superlinear neutral term. Zbl 1430.34075
Bohner, Martin; Sudha, Balakrishnan; Tangavelu, Krishnan; Thandapani, Ethiraju
2019
Asymptotic behavior of solutions of forced third-order dynamic equations. Zbl 1415.34135
Bohner, Martin; Grace, Said R.; Jadlovská, Irena
2019
Periodic solutions of linear, Riccati, and Abel dynamic equations. Zbl 1405.34077
Bohner, Martin; Gasull, Armengol; Valls, Claudia
2019
Spectral analysis of an impulsive quantum difference operator. Zbl 1428.39028
Bohner, Martin; Cebesoy, Serifenur
2019
Fite-Hille-Wintner-type oscillation criteria for second-order half-linear dynamic equations with deviating arguments. Zbl 1395.34090
Bohner, Martin; Hassan, Taher S.; Li, Tongxing
2018
A critical point approach to boundary value problems on the real line. Zbl 1388.35063
Bohner, Martin; Caristi, Giuseppe; Heidarkhani, Shapour; Moradi, Shahin
2018
An existence result for impulsive multi-point boundary value systems using a local minimization principle. Zbl 1391.34061
Afrouzi, Ghasem A.; Bohner, Martin; Caristi, Giuseppe; Heidarkhani, Shapour; Moradi, Shahin
2018
A further extension of the extended Riemann-Liouville fractional derivative operator. Zbl 1424.33014
Bohner, Martin; Rahman, Gauhar; Mubeen, Shahid; Nisar, Kottakkaran Sooppy
2018
Massera’s theorem in quantum calculus. Zbl 1453.39006
Bohner, Martin; Mesquita, Jaqueline G.
2018
Cobweb model with conformable fractional derivatives. Zbl 1406.26002
Bohner, Martin; Hatipoğlu, Veysel Fuat
2018
A nonautonomous Beverton-Holt equation of higher order. Zbl 1375.39025
Bohner, Martin; Dannan, Fozi M.; Streipert, Sabrina
2018
Linear programming problems on time scales. Zbl 07407815
Al-Salih, Rasheed; Bohner, Martin
2018
Almost periodic functions in quantum calculus. Zbl 1410.81016
Bohner, Martin; Mesquita, Jaqueline G.
2018
The generalized hypergeometric difference equation. Zbl 1392.33004
Bohner, Martin; Cuchta, Tom
2018
Oscillation of third-order delay difference equations with negative damping term. Zbl 1396.39009
Bohner, Martin; Geetha, Srinivasan; Selvarangam, Srinivasan; Thandapani, Ethiraju
2018
Oscillation criteria for second-order neutral delay differential equations. Zbl 1413.34213
Bohner, Martin; Grace, Said; Jadlovská, Irena
2017
Pontryagin’s maximum principle for dynamic systems on time scales. Zbl 1401.34086
Bohner, Martin; Kenzhebaev, Kenzhegaly; Lavrova, Olga; Stanzhytskyi, Oleksandr
2017
The Bessel difference equation. Zbl 1360.33007
Bohner, Martin; Cuchta, Tom
2017
Existence of three solutions for impulsive multi-point boundary value problems. Zbl 1368.34040
Bohner, Martin; Heidarkhani, Shapour; Salari, Amjad; Caristi, Giuseppe
2017
The second Cushing-Henson conjecture for the Beverton-Holt $$q$$-difference equation. Zbl 1400.39005
Bohner, Martin; Streipert, Sabrina H.
2017
General higher-order dynamic Opial inequalities with applications. Zbl 1371.26025
Bohner, Martin J.; Osman, Mahmoud M.; Saker, Samir H.
2017
Three solutions for a class of nonhomogeneous nonlocal system: an Orlicz-Sobolev space setting. Zbl 1388.35044
Bohner, Martin; Caristi, Giuseppe; Heidarkhani, Shapour; Salari, Amjad
2017
Stationary acceleration of Frenet curves. Zbl 1362.53019
Abazari, Nemat; Bohner, Martin; Sağer, Ilgin; Yayli, Yusuf
2017
Multivariable dynamic calculus on time scales. Zbl 1475.26001
Bohner, Martin; Georgiev, Svetlin G.
2016
Oscillation of third-order nonlinear damped delay differential equations. Zbl 1410.34193
Bohner, Martin; Grace, Said R.; Sağer, Ilgin; Tunç, Ercan
2016
Inverse problems for Sturm-Liouville difference equations. Zbl 1461.39003
Bohner, Martin; Koyunbakan, Hikmet
2016
Oscillation criteria for third-order functional differential equations with damping. Zbl 1381.34085
Bohner, Martin; Grace, Said R.; Jadlovská, Irena
2016
Optimal harvesting policy for the Beverton-Holt model. Zbl 1348.39008
Bohner, Martin; Streipert, Sabrina
2016
Asymptotic behavior of even-order damped differential equations with $$p$$-Laplacian like operators and deviating arguments. Zbl 1355.34106
Liu, Qingmin; Bohner, Martin; Grace, Said R.; Li, Tongxing
2016
Periodic averaging principle in quantum calculus. Zbl 1329.81178
Bohner, Martin; Mesquita, Jaqueline G.
2016
Sneak-out principle on time scales. Zbl 1334.26005
Bohner, Martin J.; Saker, Samir H.
2016
A polynomial-type Jost solution and spectral properties of a self-adjoint quantum-difference operator. Zbl 1354.39012
Aygar, Yelda; Bohner, Martin
2016
The SIS-model on time scales. Zbl 1389.34295
Bohner, Martin; Streipert, Sabrina H.
2016
Spectral analysis of a matrix-valued quantum-difference operator. Zbl 1355.39010
Aygar, Yelda; Bohner, Martin J.
2016
Optimal harvesting policy for the Beverton-Holt quantum difference model. Zbl 1460.91174
Bohner, Martin; Streipert, Sabrina
2016
Impulsive differential equations: periodic solutions and applications. Zbl 1309.93074
Li, Xiaodi; Bohner, Martin; Wang, Chuan-Kui
2015
Kamenev-type criteria for nonlinear damped dynamic equations. Zbl 1328.34093
Bohner, Martin; Li, Tongxing
2015
Oscillation of second-order nonlinear neutral dynamic equations with noncanonical operators. Zbl 1318.34124
Zhang, Chenghui; Agarwal, Ravi P.; Bohner, Martin; Li, Tongxing
2015
Oscillation of fourth-order delay dynamic equations. Zbl 1321.34121
Zhang, ChengHui; Agarwal, Ravi P.; Bohner, Martin; Li, TongXing
2015
Oscillatory behavior of second-order half-linear damped dynamic equations. Zbl 1410.34190
Agarwal, Ravi P.; Bohner, Martin; Li, Tongxing
2015
Even-order half-linear advanced differential equations: improved criteria in oscillatory and asymptotic properties. Zbl 1410.34191
Agarwal, Ravi P.; Bohner, Martin; Li, Tongxing; Zhang, Chenghui
2015
Jensen inequalities on time scales: theory and applications. Zbl 1337.26002
Barić, Josipa; Bibi, Rabia; Bohner, Martin; Nosheen, Ammara; Pečarić, Josip
2015
Discrete, continuous, delta, nabla, and diamond-alpha Opial inequalities. Zbl 1386.26021
Bohner, Martin J.; Mahmoud, Ramy R.; Saker, Samir H.
2015
Qualitative analysis of a Solow model on time scales. Zbl 1320.91109
Bohner, Martin; Heim, Julius; Liu, Ailian
2015
The Beverton-Holt $$q$$-difference equation with periodic growth rate. Zbl 1336.39011
Bohner, Martin; Streipert, Sabrina H.
2015
Fredholm boundary value problems for perturbed systems of dynamic equations on time scales. Zbl 1336.34128
Agarwal, Ravi P.; Bohner, Martin; Boĭchuk, Alexandr; Strakh, Olexandr
2015
Dynamic Littlewood-type inequalities. Zbl 1307.26019
Agarwal, Ravi; Bohner, Martin; Saker, Samir
2015
Cauchy-type means and exponential and logarithmic convexity for superquadratic functions on time scales. Zbl 1453.26018
Bibi, Rabia; Bohner, Martin; Pečarić, Josip
2015
Improvements of dynamic Opial-type inequalities and applications. Zbl 1325.26047
Bohner, Martin J.; Mahmoud, Ramy R.; Saker, Samir H.
2015
Subexponential solutions of linear Volterra difference equations. Zbl 1333.39003
Bohner, Martin; Sultana, Nasrin
2015
Abel dynamic equations of first and second kind. Zbl 1325.34106
Bohner, Martin; Streipert, Sabrina H.
2015
Scale-invariant self-adjoint extensions of scale-invariant symmetric operators. Zbl 1340.47046
Bekker, Miron B.; Bohner, Martin J.; Nudal&rsquo;man, Mark A.; Voulov, Hristo
2015
Oscillation criteria for difference equations with several oscillating coefficients. Zbl 1312.39016
Bohner, Martin; Chatzarakis, George E.; Stavroulakis, Ioannis P.
2015
Oscillation of second-order differential equations with a sublinear neutral term. Zbl 1324.34078
Agarwal, Ravi P.; Bohner, Martin; Li, Tongxing; Zhang, Chenghui
2014
Oscillation of second-order $$p$$-Laplace dynamic equations with a nonpositive neutral coefficient. Zbl 1321.34116
Bohner, Martin; Li, Tongxing
2014
Oscillation of second-order Emden-Fowler neutral delay differential equations. Zbl 1308.34083
Agarwal, Ravi P.; Bohner, Martin; Li, Tongxing; Zhang, Chenghui
2014
Oscillation criteria for second-order dynamic equations on time scales. Zbl 1311.34174
Agarwal, Ravi P.; Bohner, Martin; Li, Tongxing; Zhang, Chenghui
2014
A Philos-type theorem for third-order nonlinear retarded dynamic equations. Zbl 1338.34172
Agarwal, Ravi P.; Bohner, Martin; Li, Tongxing; Zhang, Chenghui
2014
Some dynamic Hardy-type inequalities with general kernel. Zbl 1294.26020
Bohner, Martin; Nosheen, Ammara; Pečarić, Josip; Younus, Awais
2014
Asymptotic behavior of nonoscillatory solutions of higher-order integro-dynamic equations. Zbl 1316.45011
Bohner, Martin; Grace, Said; Sultana, Nasrin
2014
Comparison theorems for oscillation of second-order neutral dynamic equations. Zbl 1311.34173
Agarwal, Ravi P.; Bohner, Martin; Li, Tongxing; Zhang, Chenghui
2014
Oscillation theorems for fourth-order half-linear delay dynamic equations with damping. Zbl 1417.34155
Agarwal, Ravi P.; Bohner, Martin; Li, Tongxing; Zhang, Chenghui
2014
Qualitative behavior of solutions of difference equations with several oscillating coefficients. Zbl 1317.39017
Bohner, Martin; Chatzarakis, George E.; Stavroulakis, Ioannis P.
2014
Extreme self-adjoint extensions of a semibounded $$q$$-difference operator. Zbl 1357.47038
Bekker, Miron B.; Bohner, Martin J.; Voulov, Hristo
2014
Oscillation of solutions of second-order linear differential equations and corresponding difference equations. Zbl 1300.39003
Bohner, Martin; Karpenko, Olga; Stanzhytskyi, Oleksandr
2014
Jensen functionals on time scales for several variables. Zbl 1390.26048
Anwar, Matloob; Bibi, Rabia; Bohner, Martin; Pečarić, Josip
2014
Asymptotic behavior of solutions of a rational system of difference equations. Zbl 1312.39001
Bekker, Miron B.; Bohner, Martin J.; Voulov, Hristo D.
2014
New results for oscillatory behavior of even-order half-linear delay differential equations. Zbl 1263.34094
Zhang, Chenghui; Agarwal, Ravi P.; Bohner, Martin; Li, Tongxing
2013
A new approach in the study of oscillatory behavior of even-order neutral delay differential equations. Zbl 1334.34147
Agarwal, Ravi P.; Bohner, Martin; Li, Tongxing; Zhang, Chenghui
2013
Oscillation of third-order nonlinear delay differential equations. Zbl 1286.34099
Zhang, Chenghui; Agarwal, Ravi P.; Bohner, Martin; Li, Tongxing
2013
Minkowski and Beckenbach-Dresher inequalities and functionals on time scales. Zbl 1277.26033
Bibi, Rabia; Bohner, Martin; Pečarić, Josip; Varošanec, Sanja
2013
Hille and Nehari type criteria for third-order delay dynamic equations. Zbl 1282.34100
Agarwal, Ravi P.; Bohner, Martin; Li, Tongxing; Zhang, Chenghui
2013
The Kalman filter for linear systems on time scales. Zbl 1306.93071
Bohner, Martin; Wintz, Nick
2013
Stochastic dynamic equations on general time scales. Zbl 1292.34087
Bohner, Martin; Stanzhytskyi, Olexandr M.; Bratochkina, Anastasiia O.
2013
Positive periodic solutions for higher-order functional $$q$$-difference equations. Zbl 1274.39005
Bohner, Martin; Chieochan, Rotchana
2013
...and 157 more Documents
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### Cited by 2,389 Authors

 137 Bohner, Martin J. 115 Agarwal, Ravi P. 75 Li, Tongxing 66 Grace, Said Rezk 62 O’Regan, Donal 55 Saker, Samir H. 51 Šimon Hilscher, Roman 50 Peterson, Allan C. 45 Erbe, Lynn Harry 44 Anderson, Douglas Robert 43 Li, Yongkun 40 Torres, Delfim Fernando Marado 34 Han, Zhenlai 34 Sun, Shurong 34 Wang, Chao 32 Došlý, Ondřej 30 Zhang, Chenghui 29 Abdeljawad, Thabet 29 Chatzarakis, George E. 29 Diblík, Josef 28 Li, Wan-Tong 28 Wang, Qiru 27 Băleanu, Dumitru I. 27 Graef, John R. 26 Li, Xiaodi 25 Hassan, Taher S. 25 Moaaz, Osama 25 Zeidan, Vera Michel 24 Bazighifan, Omar 24 Jadlovská, Irena 24 Karpuz, Başak 24 Kaymakçalan, Billur 23 Eldeeb, Ahmed Abdel-Moneim 22 Pečarić, Josip 21 Nosheen, Ammara 21 Thandapani, Ethiraju 21 Wong, Patricia J. Y. 20 Mesquita, Jaqueline Godoy 19 Merdivenci Atici, Ferhan 19 Shakhmurov, Veli B. 19 Sun, Jianping 18 Abbas, Syed 18 Ashyralyev, Allaberen 18 Bartosiewicz, Zbigniew 18 Cao, Jinde 18 Jia, Baoguo 18 Qiu, Yangcong 18 Shi, Yuming 17 Elyseeva, Julia V. 17 Guseinov, Gusein Sh. 17 Malinowska, Agnieszka Barbara 17 Ntouyas, Sotiris K. 17 Tunç, Ercan 17 Yaslan Karaca, Ilkay 16 Alzabut, Jehad O. 16 Davis, John M. 16 Henderson, Johnny Lee 16 Meng, Fanwei 16 Řehák, Pavel 16 Sun, Hongrui 16 Tariboon, Jessada 16 Tisdell, Christopher C. 15 Ardjouni, Abdelouaheb 15 Djoudi, Ahcene 15 Malik, Muslim 15 Slavík, Antonín 15 Zemánek, Petr 14 Khan, Khuram Ali 14 Sun, Yibing 14 Zhang, Chao 13 Akin, Elvan 13 Džurina, Jozef 13 Feng, Qinghua 13 Ma, Ruyun 13 Prasad, Kapula Rajendra 13 Raffoul, Youssef Naim 13 Santra, Shyam Sundar 13 Su, Youhui 13 Zafer, Ağacık 12 Bibi, Rabia 12 Chu, Yuming 12 Heidarkhani, Shapour 12 Kratz, Werner 12 Martins, Natália F. 12 Martynyuk, Anatoliĭ Andriĭovych 12 Muhib, Ali 12 Rashid, Saima 12 Sun, Taixiang 11 Ahmad, Bashir 11 Djemai, Mohamed 11 Dogan, Abdulkadir 11 Eloe, Paul W. 11 Gao, Chenghua 11 Hamza, Alaa E. 11 Kong, Qingkai 11 Kumar, Vipin 11 Li, Weinian 11 Liu, Haidong 11 Nwaeze, Eze Raymond 11 Rezk, Haytham M. ...and 2,289 more Authors
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### Cited in 322 Serials

 373 Advances in Difference Equations 156 Applied Mathematics and Computation 143 Journal of Mathematical Analysis and Applications 130 Abstract and Applied Analysis 116 Computers & Mathematics with Applications 97 Journal of Difference Equations and Applications 92 Applied Mathematics Letters 85 Journal of Inequalities and Applications 76 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 76 Discrete Dynamics in Nature and Society 57 Journal of Computational and Applied Mathematics 48 Mathematical and Computer Modelling 44 Journal of Applied Mathematics and Computing 41 Turkish Journal of Mathematics 37 Boundary Value Problems 35 Communications in Nonlinear Science and Numerical Simulation 31 Mediterranean Journal of Mathematics 25 Rocky Mountain Journal of Mathematics 25 Nonlinear Analysis. Hybrid Systems 24 Mathematical Methods in the Applied Sciences 24 Journal of Applied Mathematics 22 Journal of Function Spaces 20 Chaos, Solitons and Fractals 20 Journal of Differential Equations 20 Mathematical Problems in Engineering 19 Linear Algebra and its Applications 19 Qualitative Theory of Dynamical Systems 19 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 19 Journal of Nonlinear Science and Applications 18 Differential Equations and Dynamical Systems 18 Nonlinear Analysis. Real World Applications 16 Journal of Applied Analysis and Computation 15 Applicable Analysis 15 Journal of Mathematical Sciences (New York) 15 Fractals 15 Filomat 15 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 14 Journal of the Franklin Institute 14 Mathematische Nachrichten 14 Neural Networks 14 Hacettepe Journal of Mathematics and Statistics 14 AIMS Mathematics 13 Complexity 13 Discrete and Continuous Dynamical Systems. Series S 13 International Journal of Differential Equations 12 Proceedings of the American Mathematical Society 12 Computational and Applied Mathematics 12 Nonlinear Dynamics 12 Nonautonomous Dynamical Systems 11 Journal of Mathematical Physics 11 Results in Mathematics 10 Mathematica Slovaca 10 Acta Applicandae Mathematicae 10 Discrete and Continuous Dynamical Systems. Series B 10 Mathematical Biosciences and Engineering 9 International Journal of Control 9 Systems & Control Letters 9 Georgian Mathematical Journal 9 Opuscula Mathematica 9 Journal of Mathematical Inequalities 9 Differential Equations and Applications 9 Advances in Mathematical Physics 8 Ukrainian Mathematical Journal 8 Electronic Journal of Differential Equations (EJDE) 8 Fractional Calculus & Applied Analysis 8 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 7 Journal of Optimization Theory and Applications 7 Quaestiones Mathematicae 7 International Applied Mechanics 7 Mathematical Inequalities & Applications 7 Analysis (München) 7 Communications in Mathematical Analysis 7 Science China. Mathematics 7 Open Mathematics 6 Mathematics and Computers in Simulation 6 Monatshefte für Mathematik 6 Acta Mathematicae Applicatae Sinica. English Series 6 MCSS. Mathematics of Control, Signals, and Systems 6 Arab Journal of Mathematical Sciences 6 Functional Differential Equations 6 Nonlinear Analysis. Modelling and Control 6 Kragujevac Journal of Mathematics 6 Acta Mathematica Scientia. Series B. (English Edition) 6 Complex Analysis and Operator Theory 6 International Journal of Biomathematics 6 Journal of Mathematics 6 International Journal of Systems Science. Principles and Applications of Systems and Integration 5 Bulletin of the Australian Mathematical Society 5 Indian Journal of Pure & Applied Mathematics 5 Demonstratio Mathematica 5 Stochastic Analysis and Applications 5 Acta Mathematica Hungarica 5 Bulletin of the Iranian Mathematical Society 5 Aequationes Mathematicae 5 Applied Mathematical Modelling 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 Applied Mathematics. Series B (English Edition) 5 The ANZIAM Journal 5 Differential Equations 5 Journal of Fixed Point Theory and Applications ...and 222 more Serials
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### Cited in 53 Fields

 1,943 Ordinary differential equations (34-XX) 961 Difference and functional equations (39-XX) 593 Real functions (26-XX) 288 Operator theory (47-XX) 243 Systems theory; control (93-XX) 215 Biology and other natural sciences (92-XX) 144 Dynamical systems and ergodic theory (37-XX) 124 Partial differential equations (35-XX) 97 Integral equations (45-XX) 80 Calculus of variations and optimal control; optimization (49-XX) 77 Numerical analysis (65-XX) 35 Probability theory and stochastic processes (60-XX) 32 Special functions (33-XX) 32 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 29 Abstract harmonic analysis (43-XX) 27 Integral transforms, operational calculus (44-XX) 27 Mechanics of particles and systems (70-XX) 25 Functional analysis (46-XX) 23 Operations research, mathematical programming (90-XX) 22 Global analysis, analysis on manifolds (58-XX) 20 Quantum theory (81-XX) 19 Combinatorics (05-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 15 Measure and integration (28-XX) 15 Sequences, series, summability (40-XX) 15 Information and communication theory, circuits (94-XX) 14 Computer science (68-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Differential geometry (53-XX) 11 Statistics (62-XX) 10 Approximations and expansions (41-XX) 8 Functions of a complex variable (30-XX) 7 Number theory (11-XX) 6 General topology (54-XX) 6 Mechanics of deformable solids (74-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 General and overarching topics; collections (00-XX) 3 Associative rings and algebras (16-XX) 3 Fluid mechanics (76-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Algebraic geometry (14-XX) 2 Potential theory (31-XX) 2 Geometry (51-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Mathematics education (97-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX)