Results 41 to 50 of about 8,925,121 (268)
A theoretical framework is proposed to derive a dynamic equation motion for rectilinear dislocations within isotropic continuum elastodynamics. The theory relies on a recent dynamic extension of the Peierls-Nabarro equation, so as to account for core ...
A. I. Neishtadt +19 more
core +3 more sources
Asymptotic Convergence of the Solutions of a Dynamic Equation on Discrete Time Scales
The paper investigates a dynamic equation Ξπ¦(π‘π)=π½(π‘π)[π¦(π‘πβπ)βπ¦(π‘πβπ)] for πββ, where π and π are integers such that π>πβ₯0, on an arbitrary discrete time scale πβΆ={π‘π} with π‘πββ, πββ€βπ0βπ={π0βπ,π0 ...
J. DiblΓk +3 more
semanticscholar +1 more source
A limit set trichotomy for order-preserving systems on time scales
In this paper we derive a limit set trichotomy for abstract order-preserving 2-parameter semiflows in normal cones of strongly ordered Banach spaces. Additionally, to provide an example, Muller's theorem is generalized to dynamic equations on arbitrary ...
Christian Poetzsche, Stefan Siegmund
doaj
This paper employed the well-known Riccati transformation method to deduce a Kneser-type oscillation criterion for second-order dynamic equations. These results are considered an extension and improvement of the known Kneser results for second-order ...
Taher S. Hassan +4 more
doaj +1 more source
Oscillation criteria for second-order nonlinear delay dynamic equations of neutral type
We investigate oscillatory behavior of solutions to a class of second-order nonlinear neutral delay dynamic equations with nonpositive neutral coefficients. In particular, we study the corresponding noncanonical neutral differential equations.
Ming Zhang +5 more
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Hamiltonian equation of motion and depinning phase transition in two-dimensional magnets
Based on the Hamiltonian equation of motion of the $\phi^4$ theory with quenched disorder, we investigate the depinning phase transition of the domain-wall motion in two-dimensional magnets.
B. Zheng +9 more
core +1 more source
Exponential P-stability of stochastic $\nabla$-dynamic equations on disconnected sets
The aim of this article is to consider the existence of solutions, finiteness of moments, and exponential p-stability of stochastic $\nabla$-dynamic equations on an arbitrary closed subset of $\mathbb{R}$, via Lyapunov functions.
Huu Du Nguyen +2 more
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Single equation models ignore interdependencies or two-way relationships between response variables. The simultaneous equation model accommodates this two-way relationship form.
Arya Fendha Ibnu Shina
doaj +1 more source
Simplification of Galactic Dynamic equations [PDF]
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.
openaire +2 more sources
A Lyapunov Function For Logistic Equation On Time Scales
In this study we focus on the stability of dynamic logistic equation which is used in single species population dynamics. Here we have introduced a quadratic Lyapunov function for generalized dynamic logistic equation on time scales.
Veysel Fuat HatipoΔlu
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