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On a third-order system of difference equations
Applied Mathematics and Computation, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stevo Stević
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On oscillatory third order difference equations
Journal of Difference Equations and Applications, 2000In this paper, sufficient conditions have been obtained for oscillation/nonoscillation of a class of homogeneous/nonhomogeneous linear difference equations of third order.
N. Parhi, A.K. Tripathy
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On third-order rational difference equations, part 1
Journal of Difference Equations and Applications, 2008Our goal here and in part 2 of this paper is to present a summary of recent results together with some new ones and several Open Problems and Conjectures on the global character of solutions of the...
E. Camouzis, G. Ladas
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Third order difference equations with two rational integrals
Journal of Physics A: Mathematical and Theoretical, 2009A systematic investigation to derive three-dimensional analogs of two-dimensional Quispel, Roberts and Thompson (QRT) mappings is presented. The question of integrability of the obtained three-dimensional mappings with two independent integrals is also analyzed.
R Sahadevan, C Uma Maheswari
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On the oscillation of third order nonlinear difference equations
Journal of Applied Mathematics and Computing, 2009The authors obtain some new oscillation criteria for the third-order nonlinear difference equations \[ \Delta^2\left((\Delta x(k))^\alpha/a(k)\right)+q(k)\,f(x[g(k)])=0 \] and \[ \Delta^2\left((\Delta x(k))^\alpha/a(k)\right)+q(k)\,f(x[g(k)])+q(k)\,h(x[\sigma(k)])=0. \] Here, \(\alpha\) is the ratio of two positive odd integers, \(\{a(k)\},\; \{p(k)\}\)
Agarwal, Ravi P. +2 more
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Third order difference methods for hyperbolic equations
Journal of Computational Physics, 1970Burstein, Samuel Z., Mirin, Arthur A.
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Nonoscillatory Solutions of Third-Order Difference Equations
2005Zuzana Dosla, Ales Kobza
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Oscillation of third-order nonlinear delay difference equations
AIP Conference Proceedings, 2022D. S. Sumathi, K. Alagesan, V. Govindan
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Efficient third-order BDF finite difference scheme for the generalized viscous Burgers’ equation
Applied Mathematics Letters, 2023Tao Guo, Wenlin Qiu
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