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
Asymptotic behavior of interpolation polynomials of harmonic functions based on radon projections
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DOI: 10.1007/s10092-017-0212-9
Abstract: We study the asymptotic behavior of harmonic interpolation of harmonic functions based on Radon projections when the chords coalesce to some points, a chord and a point. We show that the limit is the Lagrange… read more here.
Keywords: asymptotic behavior; based radon; harmonic functions; functions based ... See more keywords
Asymptotic Behavior of Solution Branches of Nonlocal Boundary Value Problems
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DOI: 10.1007/s10473-020-0203-9
Abstract: In this article, by employing an oscillatory condition on the nonlinear term, a result is proved for the existence of connected component of solutions set of a nonlocal boundary value problem, which bifurcates from infinity… read more here.
Keywords: asymptotic behavior; behavior solution; nonlocal boundary; boundary value ... 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
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
Asymptotic Behavior of a Solution to the Radiative Transfer Equation in a Multilayered Medium with Diffuse Reflection and Refraction Conditions
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DOI: 10.1007/s10958-019-04633-y
Abstract: We consider the radiative transfer problem in a multilayered semitransparent medium composed of m plane vertical layers of optic thickness e = τ∗/m. It is assumed that the interfaces separating the layers as well as… read more here.
Keywords: asymptotic behavior; diffuse; medium; behavior solution ... See more keywords
Asymptotic Behavior of Branching Random Walks on Some Two-Dimensional Lattices
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DOI: 10.1007/s10958-020-05074-8
Abstract: A branching random walk on two-dimensional lattices corresponding to graphene and stanene is considered. It is assumed that sources of branching are located on lattices periodically. An asymptotics of the mean value of particles in… read more here.
Keywords: asymptotic behavior; behavior branching; two dimensional; dimensional lattices ... See more keywords
Asymptotic behavior of the principal eigenvalue and the basic reproduction ratio for periodic patch models
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DOI: 10.1007/s11425-021-1894-2
Abstract: This paper is devoted to the study of the asymptotic behavior of the principal eigenvalue and basic reproduction ratio associated with periodic population models in a patchy environment for small and large dispersal rates. We… read more here.
Keywords: asymptotic behavior; reproduction ratio; basic reproduction; principal eigenvalue ... See more keywords
On asymptotic behavior of fractional Cauchy transform
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DOI: 10.1007/s13324-019-00317-7
Abstract: We study non-regularity of growth of the fractional Cauchy transform $$\begin{aligned} f(z)=\int _{-\pi }^{\pi } \frac{d\psi (t)}{(1-ze^{-it})^\alpha }, \quad \alpha >0, \psi \in BV[-\pi ,\pi ], \end{aligned}$$f(z)=∫-ππdψ(t)(1-ze-it)α,α>0,ψ∈BV[-π,π],in terms of the modulus of continuity of the… read more here.
Keywords: asymptotic behavior; fractional cauchy; cauchy transform; behavior fractional ... See more keywords
Asymptotic Behavior of Solutions to Semilinear Parabolic Equations with Infinite Delay
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DOI: 10.1007/s40306-018-0289-5
Abstract: We consider a class of semilinear parabolic equations with infinite delay and nonlinearity of polynomial type. We first prove the existence and uniqueness of weak solutions by using the Galerkin method. Then, we show the… read more here.
Keywords: semilinear parabolic; asymptotic behavior; infinite delay; parabolic equations ... See more keywords
Existence and Asymptotic Behavior of Solutions for Degenerate Nonlinear Kirchhoff Strings with Variable-Exponent Nonlinearities
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DOI: 10.1007/s40306-021-00420-7
Abstract: In this paper, we investigate the existence of a local solution in time and discuss the exponential asymptotic behavior to a weakly damped wave equation involving the variable-exponents u t t − M ∇ u… read more here.
Keywords: left right; asymptotic behavior; kirchhoff; right vert ... See more keywords