Asymptotic behavior for a coalescence problem

Global Existence and Asymptotic Behavior for a Nonlinear Viscoelastic Problem

In this paper the nonlinear viscoelastic wave equation |ut|utt −∆u−∆utt + ∫ t 0 g(t− τ)∆u(τ)dτ − γ∆ut = b|u|p−2u is considered. Using the potential well method a global existence and an exponential decay result are proved. Moreover, for sufficiently large values of the initial data and for a suitable relation between p and the relaxation function g, we establish an unboundedness result.

Asymptotic distributions of Neumann problem for Sturm-Liouville equation

In this paper we apply the Homotopy perturbation method to derive the higher-order asymptotic distribution of the eigenvalues and eigenfunctions associated with the linear real second order equation of Sturm-liouville type on $[0,pi]$ with Neumann conditions $(y'(0)=y'(pi)=0)$ where $q$ is a real-valued Sign-indefinite number of $C^{1}[0,pi]$ and $lambda$ is a real parameter.

Asymptotic Behavior of Nonlinear Transmission Plate Problem

We study a nonlinear transmission problem for a plate which consists of thermoelastic and isothermal parts. The problem generates a dynamical system in a suitable Hilbert space. Main result is the proof of asymptotic smoothness of this dynamical system and existence of a compact global attractor in special cases.

Asymptotic Behavior of Linearized Viscoelastic Flow Problem

Asymptotic behavior of the quadratic knapsack problem

We study subclasses of the quadratic knapsack problem, where the profits are independent random variables defined on the interval [0, 1] and the knapsack capacity is proportional to the number of items (we assume that the weights are arbitrary numbers from the interval [0, 1]). We show asymptotically that the objective value of a very easy heuristic is not far away from the optimal solution. Mo...