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Miscellaneous Dynamic Equations [PDF]
Methods and Applications of Analysis, 2003 We consider several dynamic equations and present methods on how to solve these equations. Among them are linear equations of higher order, Euler-Cauchy equations of higher order, logistic equations (or Verhulst equations), Bernoulli equations, Riccati equations, and Clairaut equations.
Akin-Bohner, Elvan, Bohner, Martin
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Dynamics of the Schrödinger–Langevin equation [PDF]
Nonlinearity, 2021 We consider the nonlinear Schrodinger-Langevin equation for both signs of the logarithmic nonlinearity. We explicitly compute the dynamics of Gaussian solutions for large times, which is obtained through the study of a particular nonlinear differential equation of order 2. We then give the asymptotic behavior of general energy weak solutions under some
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A dynamical study of the Friedmann equations [PDF]
European Journal of Physics, 2001 Cosmology is an attracting subject for students but usually difficult to deal with if general relativity is not known. In this article, we first recall the Newtonian derivation of the Friedmann equations which govern the dynamics of our universe and discuss the validity of such a derivation.
Uzan, Jean-Philippe, Lehoucq, Roland
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Coagulation Equations for Aerosol Dynamics [PDF]
, 2021 Binary coagulation is an important process in aerosol dynamics by which two particles merge to form a larger one. The distribution of particle sizes over time may be described by the so-called Smoluchowski's coagulation equation. This integrodifferential equation exhibits complex non-local behaviour that strongly depends on the coagulation rate ...
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Dynamics of a Rational Difference Equation [PDF]
Advances in Difference Equations, 2010 The main goal of the paper is to investigate boundedness, invariant intervals, semicycles, and global attractivity of all nonnegative solutions of the equation , , where the parameters , is an integer, and the initial conditions . It is shown that the unique positive equilibrium of the equation is globally asymptotically stable under the condition ...
Lin-Xia Hu, Wan-Tong Li, Xiu-Mei Jia
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A new view on relativity: Part 2. Relativistic dynamics [PDF]
, 2006 The Lorentz transformations are represented on the ball of relativistically admissible velocities by Einstein velocity addition and rotations. This representation is by projective maps.
G. Scarpetta +7 more
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Delay dynamic equations with stability [PDF]
Advances in Difference Equations, 2006 We first give conditions which guarantee that every solution of a first order linear delay dynamic equation for isolated time scales vanishes at infinity. Several interesting examples are given. In the last half of the paper, we give conditions under which the trivial solution of a nonlinear delay dynamic equation is asymptotically stable, for ...
Anderson, Douglas R. +2 more
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Simplification of Galactic Dynamic equations [PDF]
Symmetry, 2020 Most fully developed galaxies have vivid spiral structure, but the formation and evolution of spiral structure is still a mystery that is not fully understood in astrophysics. We find that the currently used equations of galactic dynamics contain some unreasonable components.
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Dynamics of the inflationary flow equations [PDF]
Physical Review D, 2005 9 pages 4 figures.
Sirichai Chongchitnan, George Efstathiou
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