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On dynamic problem and integral equation

Applied Mathematics and Computation, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Dynamics of a rational difference equation

Applied Mathematics and Computation, 2005
The authors investigate the periodic character, invariant intervals, oscillation and global stability of all positive solutions of the equation \[ {x_{n+1}=\frac{px_{n}+x_{n-k}}{q+x_{n-k}}~\;,~\;\;n=0,1,\dots,}\tag{*} \] where \(p\) and \(q\) and the initial conditions \(x_{-k},\dots,x_{0}\) are nonnegative real numbers.
Wan-Tong Li, Hong-Rui Sun
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Dynamics of a rational difference equation

Applied Mathematics and Computation, 2006
Abstract In this note, we investigate the solution of the difference equation x n + 1 = x n - 1 a - x n - 1 x n , n = 0 , 1 , 2 , … , where x - 1 , x 0 ∈ R and a > 0. Moreover, we discuss the stability properties and semi-cycle behavior of this solution.
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On dynamic equations with deviating arguments

Applied Mathematics and Computation, 2009
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New dynamical equation for cracks

Physical Review Letters, 1991
Summary: If a long-standing selection problem in brittle fracture is to be resolved, one must begin with dynamical equations suited to comparison with experiment. Such an equation is derived here in closed form by finding the energy flux to the tip of a slowly accelerating crack in a brittle strip.
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On the Transformation of the Equations of Dynamics

Journal of Mathematics and Physics, 1946
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Linearization of a dynamic programming equation

International Journal of Systems Science, 2000
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Dynamical Equations

1988
Robert E. Roberson, Richard Schwertassek
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Oscillation criteria for second-order dynamic equations on time scales

Applied Mathematics Letters, 2014
Martin Bohner, Tongxing Li, Ravi Agarwal
exaly  

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