ASYMPTOTIC ANALYSIS OF SOLUTIONS TO EQUATIONS WITH REGULAR PERTURBATION

Applying Regular Perturbation Analysis to HCV Viral Load Equations

There are many mathematical, time-dependent models of hepatitis type C virus (HCV) infection found in the literature. Although the evolution of the level of infection is complex, there are many successful models explaining a variety of in-vivo and in-vitro observations. These models are playing a pivotal role in the pharmaceutical industry by helping researchers and clinicians analyze the perfo...

Some Regular Perturbation Solutions in Fluid Mechanics

In this paper we examine two problems in steady incompressible viscous flow with a view to generating high-order perturbation solutions as regular expansions in powers of the Reynolds number. Thus, computer-algebra techniques are used to study the motions produced (a) by a Landau momentum source placed at the centre of a fluid-filled spherical shell, and (b) by a rotating sphere in both unbound...

Asymptotic Solutions of Singular Perturbation Problems for Linear Differential Equations of Elliptic Type

On the asymptotic stability and numerical analysis of solutions to nonlinear stochastic differential equations with jumps

This paper is concerned with the stability and numerical analysis of solution to highly nonlinear stochastic differential equations with jumps. By the Itô formula, stochastic inequality and semi-martingale convergence theorem, we study the asymptotic stability in the pth moment and almost sure exponential stability of solutions under the local Lipschitz condition and nonlinear growth condition....

Asymptotic Properties of Mild Solutions of Nonautonomous Evolution Equations with Applications to Retarded Differential Equations

We investigate asymptotic properties of mild solutions of the inhomoge-neous nonautonomous evolution equation d dt u(t) = (A+B(t))u(t)+f(t); t 2 R, where (A; D(A)) is a Hille-Yosida operator on a Banach space X, B(t), t 2 R, is a family of operators in L(D(A); X) satisfying certain boundedness and measurability conditions , and f 2 L 1 loc (R; X). The mild solutions of the corresponding homogen...