共查询到20条相似文献,搜索用时 906 毫秒
1.
The asymptotic and oscillatory behavior of solutions of some general second-order nonlinear difference equations of the form is studied. Oscillation criteria for their solutions, when “pn” is of constant sign, are established. Results are also presented for the damped-forced equation Examples are inserted in the text for illustrative purposes. 相似文献
δ(anh(yn+1)δyn)+pnδyn+qn+1f(yσ(n+1))=0 nZ,
δ(anh(yn+1)δyn)+pnδyn+qn+1f(yσ(n+1))=en nZ.
2.
In this paper, stability and boundedness theorems for delay difference systems with the condition are given, where Δ is the backward difference operator. Some known results are generalized. 相似文献
δV(n,x(n))≤-W2(|x(n)|)+σ
3.
Jovan Stefanovski 《Systems & Control Letters》2002,46(3)
In this paper conditions for the nonlinear control systemto have a nonlinear feedback controlsuch that the nonlinear system takes a form of an affine systemare presented. All results require algebraic operations and differentiation of functions only. 相似文献
u=(x,v), vΩ′Rm′, m′m, 0Ω′
4.
For the half-linear difference equation where α > 0, we shall offer sufficient conditions for the oscillation of all solutions, as well as necessary and sufficient conditions for the existence of both bounded and unbounded nonoscillatory solutions. Several examples which dwell upon the importance of our results are also included. 相似文献
5.
This paper is concerned with the nonlinear partial difference equation with continuous variables,where a, σi, τi are positive numbers, hi(x, y, u) ε C(R+ × R+ × R, R), uhi(x, y, u) > 0 for u ≠ 0, hi is nondecreasing in u, i = 1, …, m. Some oscillation criteria of this equation are obtained. 相似文献
6.
The authors introduce and investigate various properties of a general class;,which unifies and extends several (known or new) subclasses of meromorphically multivalent functions. The properties and characteristics of this general class, which are presented here, include growth and distortion theorems; they also involve Hadamard products (or convolution) of functions belonging to the class Uk[p,α,β,A,B]. 相似文献
Uk[p,a,β,A,B]
p, k ε N {1, 2, 3,…,}; 0 α < p; β 0
−1 A < B 1; 0 < B 1)
7.
8.
M. Jaberi Douraki Mehdi Dehghan Javad Mashreghi 《Computers & Mathematics with Applications》2008,56(1):186-198
We study the invariant interval, the character of semicycles, the global stability, and the boundedness of the difference equation where the initial conditions x−k,…,x−1,x0 are nonnegative, and p,q>0. 相似文献
9.
In this paper, we shall offer sufficient conditions for the oscillation of all solutions to neutral functional differential equations of mixed type of the form,here p and q are periodic functions. 相似文献
10.
Recently, a subset of the robust stability literature concentrated on the so-called diamond of polynomials. In this paper, we study the weighted diamond Qw defined as , where the center q*, the weights w0, w1, 3dot , wn > 0 and the radius r > 0 are given. For this family, we show that an extreme point result holds if and only if a certain ‘interlacing condition’ on the weights is satisfied. 相似文献
11.
In this paper, we are concerned with the delay difference equations of the form(*) (*)where pn ≥ 0 and k is a positive integer. We prove by using a new technique thatguarantees that all solutions of equation (*) oscillate, which improves many previous well-known results. In particular, our theorems also fit the case where Σn−1i=n−kpi ≤ kk+1/(k + 1)k+1. In addition, we present a nonoscillation sufficient condition for equation (*). 相似文献
yn+1 − yn + pnyn−k = 0, N = 0, 1, 2, …,
12.
Y. Muroya 《Computers & Mathematics with Applications》2005,49(11-12):1913-1927
Consider the following separable nonlinear delay differential equation , where we assume that, there is a strictly monotone increasing function f(x) on (−∞, +∞) such that In this paper, to the above separable nonlinear delay differential equation, we establish conditions of global asymptotic stability for the zero solution. In particular, for a special wide class of f(x) which contains a case of f(x) = ex−1, we give more explicit conditions. Applying these, we offer conditions of global asymptotic stability for solutions of nonautonomous logistic equations with delays. 相似文献
13.
O. Do
lý 《Computers & Mathematics with Applications》1998,36(10-12)
Using a recently proved equivalence between disconjugacy of the 2nth-order difference equation and solvability of the corresponding Riccati matrix difference equation, it is shown that the equation L(y) = 0 is disconjugate on a given interval if and only if the operator L admits the factorization of the form where M and its adjoint M* are certain nth-order difference operators and ck is a sequence of positive numbers. 相似文献
L(y)k+n=M*(ckM(y)k)k+n,
14.
Approximate fixed point sequence for a finite family of asymptotically pseudocontractive mappings 总被引:1,自引:0,他引:1
Let E be a real Banach space and K be a nonempty, closed, convex, and bounded subset of E. Let Ti:K→K, i=1,2,…,N, be N uniformly L-Lipschitzian, uniformly asymptotically regular with sequences {εn}, and asymptotically pseudocontractive mappings with sequences , where {εn} and , i=1,2,…,N, satisfy certain mild conditions. Let a sequence {xn} be generated from x1K by for all integers n1, where Tn=Tn(modN), {un} be a sequence in K, and {λn}, {θn} and {μn} are three real sequences in [0,1] satisfying appropriate conditions; then xn−Tlxn→0 as n→∞ for each l{1,2,…,N}. 相似文献
15.
Nonlinear eigenvalue problems for quasilinear systems 总被引:1,自引:0,他引:1
The paper deals with the existence of positive solutions for the quasilinear system (Φ(u'))' + λh(t)f(u) = 0,0 < t < 1 with the boundary condition u(0) = u(1) = 0. The vector-valued function Φ is defined by Φ(u) = (q(t)(p(t)u1), …, q(t)(p(t)un)), where u = (u1, …, un), andcovers the two important cases (u) = u and (u) = up > 1, h(t) = diag[h1(t), …, hn(t)] and f(u) = (f1(u), …, fn (u)). Assume that fi and hi are nonnegative continuous. For u = (u1, …, un), let , f0 = maxf10, …, fn0 and f∞ = maxf1∞, …, fn∞. We prove that the boundary value problem has a positive solution, for certain finite intervals of λ, if one of f0 and f∞ is large enough and the other one is small enough. Our methods employ fixed-point theorem in a cone. 相似文献
16.
Consider the system of neutral functional differential equations where r>0, F, . It is shown that if F is nondecreasing on , and some additional assumptions hold, then the ω limit set of every bounded solution of such a system with some initial conditions is composed of 2r-periodic solutions. Our results are new and complement some corresponding ones already known. 相似文献
17.
By constructing a special cone and using cone compression and expansion fixed point theorem, the existence and uniqueness are established for the following singular fourth-order boundary value problems: where f(t,x,y) may be singular at t=0,1; x=0 and y=0. 相似文献
18.
In this paper the quasilinear heat equation with the nonlinear boundary condition is studied. The blow-up rate and existence of a self-similar solution are obtained. It is proved that the rescaled function
v(y,t)=(T−t)1/(2p+α−2)u((T−t)(p−1)/(2p+α−2)y,t),