Showing papers in "Journal of Mathematical Analysis and Applications in 2009"

TL;DR: In this article, two infinite sequences of polynomial eigenfunctions of a Sturm-Liouville problem are presented, and they are shown to be orthogonal with respect to a positive definite inner product defined over the compact interval [ − 1, 1 ] or the half-line [ 0, ∞ ), respectively.

TL;DR: In this paper, a maximum principle for the generalized time-fractional diffusion equation over an open bounded domain G × ( 0, T ), G ⊂ R n is formulated and proved.

TL;DR: In this paper, a predator-prey model with modified Leslie-Gower and Holling-type II schemes with stochastic perturbation is considered, and a unique positive solution to the system with positive initial value is given and persistent condition is established.

TL;DR: In this paper, the authors used regime-switching diffusions to model the dynamics of the population sizes of n different species in an ecosystem subject to the random changes of the external environment.

TL;DR: This paper used variational methods to give a positive answer to a conjecture posed by Liqun Qi [L. Qi, Eigenvalues of a real supersymmetric tensor, J. Symbolic Comput. 40 (2005) 1302-1324] regarding the real eigenvalues.

TL;DR: In this paper, it was shown that if a meromorphic function f (z ) is of finite order and shares two values CM and one value IM with its shift f ( z + c ), then f is a periodic function with period c. The assumption on the order of f can be dropped if f shares two shifts in different directions, leading to a new way of characterizing elliptic functions.

TL;DR: In this paper, the existence and asymptotic stability in pth moment of mild solutions to nonlinear impulsive stochastic partial differential equations with infinite delay is studied. But the conditions do not require the monotone decreasing behaviour of the delays.

TL;DR: In this paper, the existence and multiplicity of solutions to a class of p(x)-Kirchhoff-type problems with Dirichlet boundary data were established by means of a direct variational approach and the theory of the variable exponent Sobolev spaces.

TL;DR: In this article, an integral-type operator on the space H (B ) of all holomorphic functions on the unit ball B ⊂ C n P φ g ( f ) ( z ) = ∫ 0 1 f ( φ ( t z ) ) g ( t t, z ∈ B, where g ∈ H ( B ), g ( 0 ) = 0 and φ is a holomorphic self-map of B.

TL;DR: In this article, a new notion of convergence in geodesic spaces which is related to the Δ -convergence was introduced and applied to study some aspects on the geometry of CAT ( 0 ) spaces.

TL;DR: In this paper, the existence of homoclinic orbits for second-order Hamiltonian systems was shown to be not necessary periodic in t, where t ∈ R, u ∈ L n and W 1, W 2 ∈ C 1 ( R × R n, R ) and f ∈ c ( R, R n ) are not necessary frequent in t.

TL;DR: The two-group SIR model with random perturbation is shown to be stochastic asymptotically stable in this paper, and the stability condition is obtained by the construction of Lyapunov function.

TL;DR: In this article, the authors present a linear theory of thermoelastic bodies with microstructure and microtemperatures which permits the transmission of heat as thermal waves at finite speed.

TL;DR: In this article, a novel parallel quantum genetic algorithm (NPQGA) is proposed for the stochastic job shop scheduling problem with the objective of minimizing the expected value of makespan, where the processing times are subjected to independent normal distributions.

TL;DR: In this article, a recent multiplicity theorem for the critical points of a functional defined on a finite-dimensional Hilbert space, established by Ricceri, is extended to Dirichlet boundary value problems for difference equations involving the discrete p-Laplacian operator.

TL;DR: In this article, the authors prove that the one-dimensional heat equation with memory cannot be controlled to rest for large classes of memory kernels and controls, based on the application of the theory of interpolation in Paley-Wiener spaces.

TL;DR: In this article, the problem of finite-time stability and stabilization of nonlinear Markovian switching stochastic systems which exist at the switching instants is addressed using multiple Lyapunov function theory.

TL;DR: In this article, the existence of solution for a class of second-order differential equations with integral boundary conditions at resonance was established by using Mawhin's continuation theorem, which is the complement of previously known results.

TL;DR: In this article, an upper bound of the blow-up rate of the electric field for a given harmonic function H is established, where ϵ is the distance between conductors.

TL;DR: In this paper, the connection of fractional derivatives with fractional powers of positive operators is presented, and the formula for fractional difference derivative is obtained, based on which a fractional derivative is defined.

TL;DR: In this paper, the weighted boundedness of the Cauchy singular integral operator S Γ in Morrey spaces L p, λ ( Γ ) on curves satisfying the arc-chord condition was studied for a class of almost monotonic weights.

TL;DR: In this paper, Mao et al. discussed both pth moment and almost sure exponential stability of solutions to neutral stochastic functional differential equations (SDFE) and neutral SDFE delay equations by using the Razumikhin-type technique.

TL;DR: In this article, the authors study the asymptotic behavior and analyticity of the solutions of the one-dimensional porous-elasticity problem with thermal effect and prove the lack of exponential stability in case of the porous-ELS with thermal effects when viscoelasticy is present.

TL;DR: In this paper, a strengthening of the notion of uniform continuity of a function restricted to members of B which reduces to ordinary continuity when B consists of the finite subsets of X and agrees with uniform continuity on members of X when B is either the power set of X or the family of compact subsets.

TL;DR: A complete picture on the boundedness and compactness of integral-type operators and composition operators between Bloch-type spaces of holomorphic functions on the unit disk is given in this article.

TL;DR: In this article, completely monotonic functions of order r > 0 were introduced and the remainders in asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function were shown to give rise to monotone functions of any positive integer order.

TL;DR: In this article, the same authors considered the stability of Timoshenko-type systems with past history and proved polynomial stability results for the equal and nonequal wave-speed propagation.

TL;DR: Tao et al. as discussed by the authors proved global existence and uniqueness of classical solutions to this model for any μ > 0 (where μ is the logistic growth rate of cancer cells), and raised the regularity estimate of a solution from L 1 ( ) to L 3 ( Ω × ( 0, T ) (where Ω ⊂ R 2 is some bounded domain and T > 0 is some constant).

TL;DR: In this article, the Hyers-Ulam stability of additive functional equations in quasi-β -normed spaces was investigated and a new theorem about the Ulam stability was established.

TL;DR: In this paper, exact solutions to the first, second and extended Stefan problems with fractional time derivative described in the Caputo sense are given by means of fractional Green's function and Wright function in this paper.