By Professor Chris Tisdell

Journal articles

Tisdell C, 2019, 'Tic-Tac-Toe and repeated integration by parts: alternative pedagogical perspectives to Lima's integral challenge', International Journal of Mathematical Education in Science and Technology, http://dx.doi.org/10.1080/0020739X.2019.1620969

Tisdell CC, 2019, 'Pedogogical perspectives on the method of Wilmer III and Costa for solving second-order differential equations', International Journal of Mathematical Education in Science and Technology, 50, pp. 629 - 635, http://dx.doi.org/10.1080/0020739X.2018.1480811

Ambikairajah A; Tisdell C, 2019, 'E-Examinations and the Student Experience Regarding Appropriateness of Assessment and Course Quality in Science and Medical Science', Journal of Educational Technology Systems, 47, pp. 460 - 478, http://dx.doi.org/10.1177/0047239518822016

Tisdell C, 2019, 'Schoenfeld’s problem-solving models viewed through the lens of exemplification', For the Learning of Mathematics, 39, pp. 24 - 26, https://flm-journal.org/

Li X; Liu Z; Li J; Tisdell C, 2019, 'EXISTENCE AND CONTROLLABILITY FOR NONLINEAR FRACTIONAL CONTROL SYSTEMS WITH DAMPING IN HILBERT SPACES', Acta Mathematica Sinica, 39B, pp. 229 - 242, http://dx.doi.org/10.1007/s10473-019-0118-5

Tisdell CC, 2019, 'Critical perspectives of the ‘new’ difference equation solution method of Rivera-Figueroa and Rivera-Rebolledo', International Journal of Mathematical Education in Science and Technology, 50, pp. 160 - 163, http://dx.doi.org/10.1080/0020739X.2018.1469796

Li X; Liu Z; Li J; Tisdell C, 2019, 'Existence and controllability for nonlinear fractional control systems with damping in hilbert spaces', Acta Mathematica Scientia, 39, pp. 229 - 242, http://dx.doi.org/10.1007/s10473-019-0118-5

Tisdell CC; Liu Y; Liu Z, 2019, 'Existence of solutions to discrete and continuous second-order boundary value problems via lyapunov functions and a priori bounds', Electronic Journal of Qualitative Theory of Differential Equations, 2019, http://dx.doi.org/10.14232/ejqtde.2019.1.42

Almuthaybiri SS; Tisdell CC, 2019, 'Global existence theory for fractional differential equations: New advances via continuation methods for contractive maps', Analysis Germany, 39, pp. 117 - 128, http://dx.doi.org/10.1515/anly-2019-0027

Tisdell C, 2018, 'Pedagogical alternatives for triple integrals: moving towards more inclusive and personalized learning', International Journal of Mathematical Education in Science and Technology, 49, pp. 792 - 801, http://dx.doi.org/10.1080/0020739X.2017.1408150

Tisdell C, 2018, 'Improved mathematical results and simplified pedagogical approaches for Gronwall's inequality for fractional calculus', Fractional Differential Calculus, 8, pp. 33 - 41, http://dx.doi.org/10.7153/fdc-2018-08-02

Palani M; Tisdell C; Usachev A, 2018, 'Qualitative results for solutions to nonlinear Caputo differential equations satisfying the Osgood condition', Fractional Differential Calculus, 8, pp. 33 - 41, http://dx.doi.org/10.7153/fdc-2018-08-09

Tisdell CC, 2017, 'Critical perspectives of pedagogical approaches to reversing the order of integration in double integrals', International Journal of Mathematical Education in Science and Technology, 48, pp. 1285 - 1292, http://dx.doi.org/10.1080/0020739X.2017.1329559

Li X; Liu Z; Tisdell CC, 2017, 'Approximate controllability of fractional control systems with time delay using the sequence method', Electronic Journal of Differential Equations, 2017

Tisdell CC; Meagher S, 2017, 'A simplified approach to Gronwall's inequality on time scales with applications to new bounds for solutions to linear dynamic equations', Electronic Journal of Differential Equations, 2017, pp. 1 - 13, https://ejde.math.txstate.edu/

Tisdell CC, 2017, 'Improved pedagogy for linear differential equations by reconsidering how we measure the size of solutions', International Journal of Mathematical Education in Science and Technology, 48, pp. 1087 - 1095, http://dx.doi.org/10.1080/0020739X.2017.1298856

Tisdell CC, 2017, 'A Discrete Approach to Continuous Second-Order Boundary Value Problems via Monotone Iterative Techniques', International Journal of Difference Equations, 12, pp. 145 - 160, http://campus.mst.edu/ijde/contents/v12n1p8.pdf

Tisdell CC, 2017, 'Alternate solution to generalized Bernoulli equations via an integrating factor: an exact differential equation approach', International Journal of Mathematical Education in Science and Technology, 48, pp. 913 - 918, http://dx.doi.org/10.1080/0020739X.2016.1272143

Li X; Liu Z; Tisdell CC, 2017, 'Existence and exact controllability of fractional evolution inclusions with damping', Mathematical Methods in the Applied Sciences, 40, pp. 4548 - 4559, http://dx.doi.org/10.1002/mma.4325

Tisdell CC, 2017, 'Rethinking pedagogy for second-order differential equations: a simplified approach to understanding well-posed problems', International Journal of Mathematical Education in Science and Technology, 48, pp. 794 - 801, http://dx.doi.org/10.1080/0020739X.2017.1285062

Tisdell C; Loch B, 2017, 'How useful are closed captions for learning mathematics via online video?', International Journal of Mathematical Education in Science and Technology, 48, pp. 229 - 243, http://dx.doi.org/10.1080/0020739X.2016.1238518

Tisdell CC; Liu Z; MacNamara S, 2017, 'Basic existence and uniqueness results for solutions to systems of nonlinear fractional differential equations', Dynamics of Continuous Discrete and Impulsive Systems Series A Mathematical Analysis, 24, pp. 181 - 193

Henderson J; Sheng Q; Tisdell CC, 2017, 'Constructive existence results for solutions to systems of boundary value problems via general Lyapunov methods', Differential Equations & Applications, pp. 57 - 68, http://dx.doi.org/10.7153/dea-09-05

Tisdell CC, 2016, 'Basic existence and a priori bound results for solutions to systems of boundary value problems for fractional differential equations', Electronic Journal of Differential Equations, 2016, pp. 1 - 9, http://www.emis.ams.org/journals/EJDE/Volumes/2016/84/abstr.html

Anderson DR; Tisdell CC, 2016, 'Discrete Approaches to Continuous Boundary Value Problems: Existence and Convergence of Solutions', Abstract and Applied Analysis, 2016, http://dx.doi.org/10.1155/2016/3910972

Tisdell CC, 2016, 'Existence of solutions to second-order boundary value problems without growth restrictions', Electronic Journal of Qualitative Theory of Differential Equations, 2016, pp. 1 - 14, http://dx.doi.org/10.14232/ejqtde.2016.1.92

Tisdell CC, 2015, 'When do fractional differential equations have solutions that are bounded by the Mittag - Leffler function ?', Fractional Calculus and Applied Analysis, 18, pp. 642 - 650, http://dx.doi.org/10.1515/fca-2015-0039

Tisdell CC; Holzer M, 2015, 'Analysis of the boundary value problem associated with the nonrelativistic Thomas-Fermi equation for heavy atoms in intense magnetic fields', Differential Equations and Applications, 7, pp. 27 - 41, http://dx.doi.org/10.7153/dea-07-03

Tisdell CC, 2015, 'Maximal solutions to fractional differential equations', Fractional Differential Calculus, 5, pp. 79 - 85

Tisdell CC, 2014, 'SOLUTIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS THAT EXTEND', Journal of Classical Analysis, 5, pp. 129 - 136, http://dx.doi.org/10.7153/jca-05-11

Fewster-Young N; Tisdell CC, 2014, 'Existence of solutions to derivative-dependent, nonlinear singular boundary value problems', Applied Mathematics Letters, 28, pp. 42 - 46, http://dx.doi.org/10.1016/j.aml.2013.09.010

Tisdell CC, 2012, 'A note on improved contraction methods for discrete boundary value problems', Journal of Difference Equations and Applications, 18, pp. 1773 - 1777, http://dx.doi.org/10.1080/10236198.2012.681781

Tisdell CC, 2012, 'On the application of sequential and fixed-point methods to fractional differential equations of arbitrary order', Journal of Integral Equations and Applications, 24, pp. 283 - 319, http://dx.doi.org/10.1216/JIE-2012-24-2-283

Tisdell CC; Fewster-Young NJ, 2012, 'The existence of solutions to second-order singular boundary value problems', Nonlinear Analysis - Theory Methods and Applications, 75, pp. 4798 - 4806, http://dx.doi.org/10.1016/j.na.2012.03.029

Anderson DR; Tisdell CC, 2011, 'Alternative solutions of inhomogeneous second-order linear dynamic equations on time scales', Journal of Difference Equations and Applications, 17, pp. 1487 - 1498

Ehrnstrom M; Tisdell CC; Wahlen E, 2011, 'Asymptotic integration of second-order nonlinear difference equations', Glasgow Mathematical Journal, 53, pp. 223 - 243, http://dx.doi.org/10.1017/S0017089510000650

Tian Y; Tisdell CC; Ge W, 2011, 'The method of upper and lower solutions for discrete BVP on infinite intervals', Journal of Difference Equations and Applications, 17, pp. 267 - 278, http://dx.doi.org/10.1080/10236190902911548

Akin-Bohner E; Raffoul Y; Tisdell CC, 2010, 'Exponential stability in functional dynamic equations on time scales', Communications in Mathematical Analysis, 9, pp. 93 - 108

Nieto JJ; Tisdell CC, 2010, 'On exact controllability of first-order impulsive differential equations', Advances in Difference Equations, 2010, pp. Article ID 136504, 9 pages, http://dx.doi.org/10.1155/2010/136504

Rudd M; Tisdell CC, 2009, 'Positive symmetric solutions of singular semipositone boundary value problems', Electronic Journal of Qualitative Theory of Differential Equations

Qiuyi D; Tisdell CC, 2009, 'Nondegeneracy of positive solutions to homogeneous second-order differential systems and its applications', ACTA Mathematica Scientia, 29, pp. 435 - 446

Tisdell CC; Zaidi A, 2009, 'Successive approximations to solutions of dynamic equations on time scales', Communications on Applied Nonlinear Analysis, 16, pp. 61 - 87

Chen J; O'Regan D; Tisdell CC, 2008, 'Some results on periodic solutions for even order differential equations', Communications in Applied Analysis, 12, pp. 23 - 28

Du ZY; Lin X; Tisdell CC, 2008, 'A multiplicity result for p-Lapacian boundary value problems via critical points theorem', Applied Mathematics and Computation, 205, pp. 231 - 237

Erbe L; Peterson A; Tisdell CC, 2008, 'Basic existence, uniqueness and approximation results for positive solutions to nonlinear dynamic equations on time scales', Nonlinear Analysis - Theory Methods and Applications, 69, pp. 2303 - 2317, http://dx.doi.org/10.1016/j.na.2007.08.010

Tisdell CC; Zaidi A, 2008, 'Basic qualitative and quantitative results for solutions to nonlinear, dynamic equations on time scales with an application to economic modelling', Nonlinear Analysis - Theory Methods and Applications, 68, pp. 3504 - 3524, http://dx.doi.org/10.1016/j.na.2007.03.043

Boucherif A; Tisdell CC, 2008, 'Existence of periodic and non-periodic solutions to systems of boundary value problems for first-order differential inclusions with super-linear growth', Applied Mathematics and Computation, 204, pp. 441 - 449

Hilscher R; Tisdell CC, 2008, 'Terminal value problems for first and second order nonlinear equations on time scales', Electronic Journal of Differential Equations, 2008, pp. 1 - 21

Tisdell CC; Kulik T, 2008, 'Volterra integral equations on time scales: Basic qualitative and quantatative results with applications to initial value problems on unbounded domains', International Journal of Difference Equations, 3, pp. 103 - 133

Agarwal RP; Thompson HB; Tisdell CC, 2007, 'On the existence of multiple solutions to boundary value problems for second order ordinary differential equations', Dynamic Systems and Applications, 16, pp. 595 - 609

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