The Asymptotic Behavior of Nonlinear Eigenvalues

Asymptotic Behavior of Multivariate Reward Processes with Nonlinear Reward Functions

Asymptotic distribution of eigenvalues of the elliptic operator system

Since the theory of spectral properties of non-self-accession differential operators on Sobolev spaces is an important field in mathematics, therefore, different techniques are used to study them. In this paper, two types of non-self-accession differential operators on Sobolev spaces are considered and their spectral properties are investigated with two different and new techniques.

Asymptotic Behavior of the Eigenvalues of Certain Integral Equations. 11

is non-negative, sufficiently regular, and does not tend to zero at in#nity faster than an inverse power of ~, then An' the nth largest eigenvalue of (1), is asymptotic to K(n n/2) as n-+ 00. (Note that although in (1) k (x) need only be defined for Ixl <2, it seems in the definition of K that k(x) is defined for all x. We shall explain this in a moment.) Here we shall see what happens when the...

Asymptotic Behavior of Nonlinear Diffusions

for a given initial data u(x, 0) = u0(x) ≥ 0, where p > 1 and N ≥ 2. Such a solution exists and it is unique in the natural weak sense under rather mild conditions on u0. In particular, this is the case for u0 ∈ L , condition which we will assume in what follows. We refer the reader to [11,10] for general results on the issues of existence, uniqueness and regularity of non-negative solutions. I...

Asymptotic Behavior Results for Nonlinear

This paper is focused on the following nonlinear impulsive neutral differential equation k 0 t t , t t 0, (t))) f(x(γ t q(t) (t))) f(x(β t p(t) ] t))) c(t)g(x(α([x(t) ≠ ≥ = − + ′ + 1,2,3,... k , f(x(s))ds s (s)) q(γ f(x(s))ds s (s)) p(β) a (1) x(t a) x(t k k k k t) γ(t 1 t) β(t 1 k k k k Sufficient conditions are obtained for every solution of (*) to tends to a constant as t → ∞.