Showing papers in "Journal of Mathematical Analysis and Applications in 2011"

TL;DR: In this paper, the authors considered the initial value/boundary value problems for fractional diffusion-wave equation and established the unique existence of the weak solution and the asymptotic behavior as the time t goes to ∞ and the proofs are based on the eigenfunction expansions.

TL;DR: In this paper, the authors studied radially symmetric solutions of a class of chemotaxis systems generalizing the prototype { u t = Δ u − χ ∇ ⋅ ( u ∇ v ) + λ u − μ u κ, x ∈ Ω, t > 0, 0 = Δ v − m ( t ) + u, x, ∈ ǫ, t < 0, ǒ > 0, ǔ > 0.

TL;DR: In this article, the authors considered the initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation over an open bounded domain G × ( 0, T ), G ∈ R n.

TL;DR: In this paper, the Keller-Segel model was used to model the movement of bacteria toward the concentration gradient of the oxygen that is consumed by the bacteria, and it was proved that the corresponding initial-boundary value problem possesses a unique global solution that is uniformly bounded.

TL;DR: In this paper, it was shown that a stochastic logistic population under regime switching controlled by a Markov chain is either stochastically permanent or extinctive, and they obtained the sufficient and necessary conditions under some assumptions.

TL;DR: In this article, the existence of fixed points and their asymptotic behavior was studied in the context of generalized nonexpansive mapping and fixed points were introduced. But they were not considered in this paper.

TL;DR: In this paper, two models of a density dependent predator-prey system with Beddington-DeAngelis functional response are systematically considered, and the explorations involve the permanence, local asymptotic stability and global stability of the positive equilibrium for the models by using stability theory of differential equations and Lyapunov functions.

TL;DR: In this article, the authors studied two widely used stochastic non-autonomous logistic models and established sufficient conditions for extinction, non-persistence in the mean, weak persistence, strong persistence in the average, and stochastically permanence.

TL;DR: In this article, strong solutions and stochastic analogues for distributed-order time-fractional diffusion equations on bounded domains, with Dirichlet boundary conditions, were provided.

TL;DR: In this paper, the generalized Hyers-Ulam stability of the linear differential equation in a Banach space was studied and some results were obtained on the difference between the perturbed and the exact solutions.

TL;DR: In this paper, the first integral method is used to construct exact solutions of the nonlinear Schrodinger equation, which can be applied to nonintegrable equations as well as to integrable ones.

TL;DR: In this article, an HIV-1 infection model with a saturation infection rate and an intracellular delay accounting for the time between viral entry into a target cell and the production of new virus particles is investigated, and the local stability of an infection-free equilibrium and a chronic-infection equilibrium is established.

TL;DR: In this article, a post-print version of the article can be accessed from the link below - Copyright @ 2011 Elsevier Elsevier and the official published version can be found in the link above.

TL;DR: In this paper, the authors considered the problem of asymptotic behavior of solutions to an abstract linear dissipative integrodifferential equation with infinite memory (past history) modeling linear viscoelasticity.

TL;DR: In this paper, the authors introduce the concept of planar p-harmonic mappings and investigate the properties of these mappings, which are generalizations of the main results in Colonna (1989) [9].

TL;DR: In this article, the authors consider the Navier-Stokes-Korteweg system and prove the optimal L 2 and L p, p ⩾ 2 decay rates for the classical solutions and their spatial derivatives.

TL;DR: In this article, the authors studied Li-Yorke chaos and distributional chaos for operators on Banach spaces and showed that every infinite dimensional separable Banach space admits a distributionally chaotic operator which is also hypercyclic.

TL;DR: In this paper, a projection-based finite element technique was proposed for solving steady-state natural convection problems, in which heat transport through combined solid and fluid media was considered.

TL;DR: In this paper, the authors obtained signed and sign-changing solutions with asymptotically 3-linear bounded nonlinearity for the nonlocal Kirchhoff's equation.

TL;DR: In this paper, the existence of positive solutions to the class of p & q elliptic problems with critical growth type − div (a ( ∇ u | p ) + b ( | u| p ) | p − 2 u = λ f ( u ) + | u | γ ⁎ −2 u, u ( z ) > 0, ∀ x ∈ R N, where λ is a positive parameter, a : R → R is a function of C 1 class and b, f : R→ R are continuous functions.

TL;DR: In this article, the authors obtained boundedness on weighted Lebesgue spaces on R d of the semi-group maximal function, Riesz transforms, fractional integrals and g-function associated to the Schrodinger operator.

TL;DR: It is shown that the resulting metric space ( C, D 1 ) is complete and separable and that the induced dependence measure ζ 1, defined as a scalar times the D 1 -distance to the product copula Π, has various good properties.

TL;DR: In this article, the authors studied the Bresse system with frictional dissipation working only on the angle displacement and proved that this dissipative mechanism is enough to stabilize exponentially the whole system provided the velocities of waves propagations are the same.

TL;DR: Yu et al. as mentioned in this paper characterized the extremal trees and graphs with maximal eccentric distance sum and established upper and lower bounds for the eccentric distance sums in terms of other graph invariants including the Wiener index, the degree distance, eccentric connectivity index, independence number, connectivity, matching number, chromatic number and clique number.

TL;DR: In this paper, the authors study the asymptotic behavior of one-dimensional porous elasticity problems with history and show the lack of analyticity and exponential stability when the porous viscosity and the elastic dissipation are present.

TL;DR: The boundedness character of positive solutions of the following max-type difference equation x n = max { A, x n − 1 p X n − k r }, n ∈ N 0, where k ∈ n ∖ { 1 }, the parameters A and r are positive and p is a nonnegative real number is studied in this paper.

TL;DR: In this article, the authors introduced the Euler B (m) -difference sequence spaces e 0 t, e c t and e ∞ t, respectively, and characterized the α-, β- and γ-duals of these spaces.

TL;DR: In this article, the existence of solutions of the periodic boundary value problem for nonlinear impulsive fractional differential equation involving Riemann-Liouville sequential fractional derivative by using monotone iterative method was investigated.

TL;DR: In this paper, a stochastic density dependent predator-prey system with Beddington-DeAngelis functional response was discussed and the asymptotic behavior of this system was investigated.