Asymptotic behavior of solutions to space‐time fractional diffusion‐reaction equations
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DOI: 10.1002/mma.4033
Abstract: This article discusses the analyticity and the long-time asymptotic behavior of solutions to space-time fractional diffusion equations in R d . By a Laplace transform argument, we prove that the decay rate of the solution… read more here.
Keywords: asymptotic behavior; solutions space; time fractional; space time ... See more keywords
Long Time Behavior of Solutions to the 2D Boussinesq Equations with Zero Diffusivity
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DOI: 10.1007/s10884-019-09802-w
Abstract: We address long time behavior of solutions to the 2D Boussinesq equations with zero diffusivity in the cases of the torus, $${{\mathbb {R}}}^2$$ R 2 , and on a bounded domain with Lions or Dirichlet… read more here.
Keywords: boussinesq equations; solutions boussinesq; behavior solutions; time behavior ... See more keywords
Asymptotic Behavior of the Solutions of Essentially Nonlinear Second-Order Differential Equations
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DOI: 10.1007/s10958-017-3350-3
Abstract: For a two-term second-order differential equation with regularly and rapidly varying nonlinearities, we study the asymptotic behavior of a class of solutions as t ↑ ω (ω ≤ +∞). read more here.
Keywords: asymptotic behavior; second order; solutions essentially; behavior solutions ... See more keywords
On Large-Time Behavior of Solutions of Parabolic Nondivergent Equations with Increasing Principal Coefficients
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DOI: 10.1007/s10958-019-04326-6
Abstract: We investigate sufficient conditions of the stabilization to zero for solutions of the Cauchy problem for linear parabolic second-order equations with increasing principal coefficients and initial-value functions growing at infinity as a power function. read more here.
Keywords: large time; time behavior; principal coefficients; equations increasing ... See more keywords
Asymptotic Behavior of the Solutions of Differential Equations with Double Singularity in a Conditionally Stable Case
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DOI: 10.1007/s10958-019-04352-4
Abstract: We consider a double singular perturbation of a boundary-value problem for a nonlinear system of ordinary differential equations. For a formal asymptotic solution constructed by the method of boundary functions and generalized inverse matrices and… read more here.
Keywords: asymptotic behavior; equations double; behavior solutions; differential equations ... See more keywords
On the asymptotic behavior of solutions of the Cauchy problem for parabolic equations with time periodic coefficients
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DOI: 10.1007/s40072-021-00222-w
Abstract: We are considering the asimptotic behavior as t → ∞ of solutions of the Cauchy problem for parabolic second order equations with time periodic coefficients. The problem is reduced to considering degenerate time-homogeneous diffusion processes… read more here.
Keywords: problem parabolic; cauchy problem; time; behavior solutions ... See more keywords
Asymptotic behavior of solutions for systems of quadratic integral equations of Fredholm type
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DOI: 10.1007/s43037-019-00015-3
Abstract: In this work, we present new existence results for a system of quadratic integral equations of Fredholm type on the whole space $${\mathbb {R}}^n$$. By using a technique based on a fixed point theorem expressed… read more here.
Keywords: quadratic integral; asymptotic behavior; equations fredholm; behavior solutions ... See more keywords
Late-time asymptotic behavior of solutions to hyperbolic conservation laws on the sphere
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DOI: 10.1016/j.cma.2019.02.012
Abstract: Abstract We consider nonlinear hyperbolic conservation laws posed on a curved geometry, referred to as “geometric Burgers equations” after Ben-Artzi and LeFloch (2007), when the underlying geometry is the sphere and the flux vector field… read more here.
Keywords: time; time asymptotic; late time; geometry ... See more keywords
On the oscillation behavior of solutions to the heat equation on Rn
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DOI: 10.1016/j.jde.2019.09.021
Abstract: Abstract We study the oscillation behavior of solutions to the heat equation on R n and give some interesting examples. We compare the oscillation behavior of the initial data and the oscillation behavior of the… read more here.
Keywords: solutions heat; oscillation behavior; heat equation; behavior solutions ... See more keywords
Boundary behavior of solutions to the parabolic p-Laplace equation II
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DOI: 10.1016/j.jfa.2020.108515
Abstract: Abstract This paper is the second installment in a series of papers concerning the boundary behavior of solutions to the p-parabolic equations. In this paper we are interested in the short time behavior of the… read more here.
Keywords: laplace equation; parabolic laplace; boundary behavior; behavior solutions ... See more keywords
Asymptotic behavior of solutions to a class of non-autonomous delay differential equations
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2016.09.001
Abstract: Abstract In this paper, we study the asymptotic behavior of solutions of a class of non-autonomous delay differential equations. These equations have important practical applications and generalize those on which Bernfeld and Haddock conjectured that… read more here.
Keywords: asymptotic behavior; class non; solutions class; non autonomous ... See more keywords