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On dynamic problem and integral equation
Applied Mathematics and Computation, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Dynamics of a rational difference equation
Applied Mathematics and Computation, 2005The 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, 2006Abstract 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, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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New dynamical equation for cracks
Physical Review Letters, 1991Summary: 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, 1946openaire +1 more source
Linearization of a dynamic programming equation
International Journal of Systems Science, 2000openaire +1 more source
Oscillation criteria for second-order dynamic equations on time scales
Applied Mathematics Letters, 2014Martin Bohner, Tongxing Li, Ravi Agarwal
exaly

