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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 nonlinear diffusions [PDF]
Mathematical Research Letters, 2003 We describe the asymptotic behavior as t → ∞ of the solution of ut = ∆pu in IRN, for (2N +1)/(N +1) ≤ p < N and non-negative, integrable initial data. Optimal rates in Lq , q = 2 − 1/(p − 1) for the convergence towards a self-similar profile corresponding to a solution with Dirac distribution initial data are found.
Del Pino, M., Dolbeault, J.
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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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Mathematics, 2022 Our purpose in this article is to study the asymptotic behavior of undamped evolution equations with fading memory on time-dependent spaces. By means of the theory of processes on time-dependent spaces, asymptotic a priori estimate and the technique of ...
Xuan Wang, Didi Hu, Chenghua Gao
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On the Connection Problem for Painlevé Differential Equation in View of Geometric Function Theory
Mathematics, 2020 Asymptotic analysis is a branch of mathematical analysis that describes the limiting behavior of the function. This behavior appears when we study the solution of differential equations analytically.
Rabha W. Ibrahim +2 more
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Asymptotic behavior of Aldous' gossip process [PDF]
, 2010 Aldous [(2007) Preprint] defined a gossip process in which space is a discrete $N\times N$ torus, and the state of the process at time $t$ is the set of individuals who know the information.
Chatterjee, Shirshendu, Durrett, Rick
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Asymptotic behavior of N-fields Chiral cosmology
European Physical Journal C: Particles and Fields, 2020 We perform a detailed analysis for the asymptotic behaviour for the multi-scalar field Chiral cosmological scenario. We present the asymptotic behaviour for the one-field, two-fields and three-fields Chiral models.
Andronikos Paliathanasis, Genly Leon
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On the representation of m as ∑k=−nnϵkk
International Journal of Mathematics and Mathematical Sciences, 2000 Let A(n,m) be the number of solutions of ∑k=−nnϵkk=m where each ϵk∈{0,1}. We determine the asymptotic behavior of A(n,m) for m=o(n3/2), extending results of van Lint and of Entringer.
Lane Clark
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Subexponential Solutions of Linear Volterra Difference Equations
Nonautonomous Dynamical Systems, 2015 We study the asymptotic behavior of the solutions of a scalar convolution sum-difference equation. The rate of convergence of the solution is found by determining the asymptotic behavior of the solution of the transient renewal equation.
Bohner Martin, Sultana Nasrin
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