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Asymptotic proximity to higher order nonlinear differential equations
Advances in Nonlinear Analysis, 2022 The existence of unbounded solutions and their asymptotic behavior is studied for higher order differential equations considered as perturbations of certain linear differential equations.
Astashova Irina +3 more
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Asymptotic behavior of solutions of linear multi-order fractional differential systems [PDF]
, 2017 In this paper, we investigate some aspects of the qualitative theory for multi-order fractional differential equation systems. First, we obtain a fundamental result on the existence and uniqueness for multi-order fractional differential equation systems.
K. Diethelm, S. Siegmund, H. T. Tuan
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Asymptotic behavior of flows by powers of the Gaussian curvature [PDF]
, 2016 We consider a one-parameter family of strictly convex hypersurfaces in $\mathbb{R}^{n+1}$ moving with speed $- K^\alpha \nu$, where $\nu$ denotes the outward-pointing unit normal vector and $\alpha \geq \frac{1}{n+2}$.
S. Brendle +2 more
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ON THE ASYMPTOTIC BEHAVIOR OF THE LINEARITY DEFECT [PDF]
Nagoya Mathematical Journal, 2017 This work concerns the linearity defect of a module $M$ over a Noetherian local ring $R$, introduced by Herzog and Iyengar in 2005, and denoted $\text{ld}_{R}M$. Roughly speaking, $\text{ld}_{R}M$ is the homological degree beyond which the minimal free resolution of $M$ is linear.
Hop D. Nguyen, Thanh Vu
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Mathematical Modelling and Analysis, 2016 The asymptotic behavior of all solutions to the fourth-order Emden– Fowler type differential equation with singular nonlinearity is investigated. The equation is transformed into a system on the three-dimensional sphere.
Irina Astashova
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Axioms, 2022 The asymptotic behavior of resolvents of a proper convex lower semicontinuous function is studied in the various settings of spaces. In this paper, we consider the asymptotic behavior of the resolvents of a sequence of functions defined in a complete ...
Yasunori Kimura, Keisuke Shindo
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On the Asymptotic Behavior of Solutions to the Einstein Vacuum Equations in Wave Coordinates [PDF]
Communications in Mathematical Physics, 2016 We give asymptotics for the Einstein vacuum equations in wave coordinates with small asymptotically flat data. We show that the behavior is wave like at null infinity and homogeneous towards time like infinity.
Hans Lindblad
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Asymptotic Behavior for a Coalescence Problem [PDF]
Transactions of the American Mathematical Society, 1993 Consider spherical particles of volume x x having paint on a fraction y y of their surface area. The particles are assumed to be homogeneously distributed at each time t t , so that one can introduce the density number n ( x , y , t )
Bruno, Oscar +2 more
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Asymptotic Behavior for Textiles [PDF]
SIAM Journal on Mathematical Analysis, 2020 The paper is dedicated to the asymptotic investigation of textiles as an elasticity problem on beam structures.
Julia Orlik +2 more
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Classification of Asymptotic Behavior in a Stochastic SIR Model [PDF]
SIAM Journal on Applied Dynamical Systems, 2015 This paper investigates asymptotic behavior of a stochastic SIR epidemic model, which is a system with degenerate diffusion. It gives sufficient conditions that are very close to the necessary conditions for the permanence.
T. Nguyen, D. Nguyen, N. Du, G. Yin
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