Showing papers in "Journal of Mathematical Analysis and Applications in 2003"

TL;DR: In this paper, strong convergence theorems for nonexpansive mappings and semigroups in Hilbert spaces by the hybrid method in the mathematical programming were shown for non-convex mappings.

TL;DR: In this article, the authors define and study statistical analogue of convergence and Cauchy for double sequences and establish the relation between statistical convergence and strongly Cesaro summable double sequences.

TL;DR: In this paper, the authors studied the process of Riemann and Lebesgue integration on time scales and established a criterion for RiemANN integrability based on the relationship of the two integrals.

TL;DR: The authors examines the asymptotic behavior of the stochastic extension of a fundamentally important population process, namely the Lotka-Volterra model. But their results show that a potential deterministic population explosion can be prevented by the presence of even a tiny amount of environmental noise, showing the high level of difference which exists between these two representations.

TL;DR: Zhang et al. as mentioned in this paper studied the existence of positive solutions in case of the nonlinear fractional differential equation and gave further conditions on f and aj's under which the equation has unique solution which is positive.

TL;DR: In this article, the existence, multiplicity, and nonexistence of positive solutions to boundary value problems for the n-dimensional system ( Φ ( u ′ ))′+λ h (t) f(u) = 0, 0 Φ is shown.

TL;DR: In this article, a predator-prey system with Beddington-DeAngelis functional response was considered and global stability was established provided the system possesses a positive, locally asymptotically stable equilibrium.

TL;DR: In this article, the Hyers-Ulam stability of the linear differential operator T h :C 1 (R, X)→C(R, X) was studied.

TL;DR: In this paper, a nonempty closed convex nonexpansive retract of a real uniformly convex Banach space E with P as a non-empty retraction is considered, and it is proved that (I−T) is demiclosed at 0.

TL;DR: In this paper, the authors established the local well-posedness for a new periodic integrable equation and showed that the equation has classical solutions that blowup in finite time as well as classical solutions which exist globally in time.

TL;DR: In this paper, the authors investigated the multiple and infinitely solvability of positive solutions for nonlinear fractional differential equation Du(t)=tνf(u), 0 0, γ⩾0, 0 −β(γ+1).

TL;DR: In this paper, it was proved that if T :M→M satisfies d T n (x),T n (y) ⩽φ n d(x,y), x,y∈M, where each φn is continuous and φ n→φ uniformly on the range of d, then T has a unique fixed point, and moreover all of the Picard iterates of T converge to this fixed point.

TL;DR: In this paper, the modified implicit iteration sequence for a finite family of asymptotically quasi-nonexpansive mappings converges strongly to a common fixed point of the family in a uniformly convex Banach space, requiring one member T in the family to be semi-compact.

TL;DR: In this article, the authors discuss Hyers-Ulam stability for functional equations in single variable, including the forms of linear functional equation, nonlinear functional equation and iterative equation.

TL;DR: In this paper, an alternative to the Cahn-Hilliard model of phase separation for two-phase systems in a simplified isothermal case is given, derived from a free energy with a nonlocal interacting term and allowing reasonable bounds for the concentrations.

TL;DR: In this article, the existence results of positive solutions are obtained for fourth-order boundary value problem u (4) + βu″−αu=f(t,u), 0 where f :[0, 1]× R + → R + is continuous, α,β∈ R and satisfy β

TL;DR: In this paper, a general model of an age structured control system with nonlocal dynamics and nonlocal boundary conditions is considered and a necessary optimality condition is obtained in the form of Pontryagin's maximum principle, applicable to a number of practically meaningful models where the previously known results fail.

TL;DR: In this article, it was shown that the local minimizers of a class of functionals in the C1-topology are still their local optimizers in W 1,p 0 (Ω).

TL;DR: In this article, the weak approximate and complete controllability properties of semilinear stochastic systems were studied by using the Banach fixed point theorem, and applications to the Stochastic heat equation were given.

TL;DR: In this paper, an epidemic model is proposed to describe the dynamics of disease spread between two patches due to population dispersal, and it is proved that reproduction number is a threshold of the uniform persistence and disappearance of the disease.

TL;DR: In this article, the existence of positive solutions to the nonlinear boundary value problem was studied and at least one positive solution if f is either superlinear or sublinear by applying the fixed point theorem in cones.

TL;DR: In this article, the authors determined the Green's function for the third-order three-point generalized right focal boundary value problem and proved the existence of solutions to the nonlinear problem x(t)=f t,x(t), t 1 ⩽t⩻t 3, x(T 1 )=x′(t 2 )=0, γx(T 3 )+δx″(t 3 )= 0, where δ>0, and determined conditions on the coefficients and boundary points to ensure its positivity.

TL;DR: The main purpose of as mentioned in this paper is to analyze the asymptotic behavior of the ground state solution of Henon equation −Δu=|x|αup−1 in Ω, u=0 on ∂Ω ( Ω⊂R n is a ball centered at the origin).

TL;DR: In this article, a vector potential KdV equation and vector Ito equation are proposed based on their bilinear forms and soliton solutions expressed by Pfaffians are obtained.

TL;DR: In this paper, the effects of advection along environmental gradients on logistic reaction-diffusion models for population growth were studied, where the local population growth rate was assumed to be spatially inhomogeneous, and the adveection was taken to be a multiple of the gradient of the local growth rate.

TL;DR: In this paper, the authors study the continuum model for epitaxial thin film growth from Phys. D 132 (1999) 520-542 and show existence, uniqueness and regularity of solutions in an appropriate function space, and characterize the existence of nontrivial equilibria in terms of the size of the underlying domain.

TL;DR: In this paper, an existence theorem for a nonlinear integral equation being a Volterra counterpart of an integral equation arising in the traffic theory was proved for the case of a traffic system.

TL;DR: In this paper, a class of second-order abstract systems with memory and Dirichlet boundary conditions is investigated, and the existence of solutions as well as asymptotic behavior is determined.

TL;DR: In this article, a new class of extragradient-type methods for solving general variational inequalities was proposed and the modified methods converge for pseudomonotone operators which is a weaker condition than monotonicity.

TL;DR: In this article, the authors apply the Five Functionals Fixed Point Theorem to verify the existence of at least three positive pseudo-symmetric solutions for the three point boundary value problem.