共查询到20条相似文献，搜索用时 62 毫秒
1.
Xiaojing Yang 《Archiv der Mathematik》2005,85(5):460-469
In this paper, the existence of unbounded solutions for the following nonlinear asymmetric oscillator
is discussed, where α, β are positive constants satisfying
for some ω ∈R+ /Q, h(t) ∈L∞ [0, 2π ] is 2π-periodic, x±=max {±x, 0 }.
Received: 23 September 2004 相似文献
2.
WUSHAOPING YANGHAITAO 《高校应用数学学报(英文版)》1998,13(3):251-262
Some existence and multiplicity of homoelinic orbits for second order Hamiltonian system x-a(t)x f(t,x)=0 are given by means of variational methods, where the function -1/2a（t）|s|^2∫^t0f（t,s）ds is asymptotically quadratic in s at infinity and subquadratic in s at zero, and the function a (t) mainly satisfies the growth condition limt→∞∫^t 1 t a（t）dt= ∞,VI∈R^1.A resonance case as well as a noncompact case is discussed too. 相似文献
3.
On a periodic boundary value problem for cyclic feedback type linear functional differential systems
Sulkhan Mukhigulashvili 《Archiv der Mathematik》2006,87(3):255-260
Nonimprovable effective sufficient conditions are established for the unique solvability of the periodic problem
where ω > 0, ℓi : C([0, ω])→ L([0,ω]) are linear bounded operators, and qi∈L([0, ω]).
Received: 11 June 2005 相似文献
4.
In this paper, a new criterion of the non-existence of periodic solutions for a generalized liénard system
is given, which generalizes and extends some known results of Sugie et al. The results can be applied to the well-known nonlinear
oscillating equation ẍ+f(x)h(ẋ)ẋ+g(x)k(ẋ)=0, and the criterion of the non-existence of periodic solutions associated with this equation is obtained. 相似文献
5.
Asymptotic behavior of the unbounded solutions to some degenerate boundary layer equations revisited
We reconsider the boundary-layer flow of a non-Newtonian fluid corresponding to the classical Ostwald de Waele power-law model.
The physical problem can be described in terms of solutions of the degenerate differential equation
posed on the interval (0, ∞), in which β < 0 and the real number (the power law index) n ≥ 1. This paper deals with the asymptotic behavior of any global unbounded solution; that is a solution satisfying
.
Received: 8 March 2006 Revised: 8 January 2007 相似文献
6.
The existence of multiple positive solutions is presented for the singular second-order boundary value problems
using the fixed point index, where f may be singular at x = 0 and x′ = 0.
The project is supported by the fund of natural science of Shandong Province. 相似文献
7.
By using different convex functionals to compute fixed point index, the existence of positive solutions for a class of second-order
two-point boundary value problem
is obtained under some conditions of growth, where α, β, γ, δ ≥ 0, ρ = αγ + γβ + δα > 0, and h(t) is allowed to be singular at t = 0 and t = 1.
Supported by the National Natural Science Foundation of China(10771031,10671167). 相似文献
8.
§ 1 IntroductionIn this note we are concerned with the asymptotically periodic second order equation-u″+α( x) u =β( x) uq +γ( x) up, x∈ R,( 1 )where1 相似文献
9.
Daniel Wilczak 《Foundations of Computational Mathematics》2006,6(4):495-535
In this paper we present a new topological tool which allows us to prove the existence of Shilnikov homoclinic or heteroclinic
solutions. We present an application of this method to the Michelson system
[16]. We prove that there exists a countable set of parameter values
for which a pair of the Shilnikov homoclinic orbits to the equilibrium points
appear. This result was conjectured by Michelson [16]. We also show that there exists a countable set of parameter values
for which there exists a heteroclinic orbit connecting the equilibrium
possessing a one-dimensional unstable manifold with the equilibrium
possessing a one-dimensional stable manifold. The method used in the proof can be applied to other reversible systems. To
verify the assumptions of the main topological theorem for the Michelson system, we use rigorous computations based on interval
arithmetic. 相似文献
10.
Equations with two time scales (refinement equations or dilation equations) are central to wavelet theory. Several applications
also include an inhomogeneous forcing term F(t). We develop here a part of the existence theory for the inhomogeneous refinement
equation
where a (k) is a finite sequence and F is a compactly supported distribution on ℝ.
The existence of compactly supported distributional solutions to an inhomogeneous refinement equation is characterized in
terms of conditions on the pair (a, F).
To have Lp solutions from F ∈ Lp(ℝ), we construct by the cascade algorithm a sequence of functions φ0 ∈ Lp(ℝ) from a compactly supported initial function ℝ as
A necessary and sufficient condition for the sequence {φn} to converge in Lp(ℝ)(1 ≤ p ≤ ∞) is given by the p-norm joint spectral radius of two matrices derived from the mask a. A convexity property
of the p-norm joint spectral radius (1 ≤ p ≤ ∞) is presented.
Finally, the general theory is applied to some examples and multiple refinable functions.
Acknowledgements and Notes. Research supported in part by Research Grants Council and City University of Hong Kong under Grants #9040281, 9030562, 7000741. 相似文献
11.
Klaudiusz Wójcik 《Monatshefte für Mathematik》2002,135(3):245-252
We prove a sufficient condition for the existence of 2
n
(geometrically distinct) solutions of the two point boundary value problem
where .
Received 30 March 2001; in revised form 26 November 2001 相似文献
12.
In this paper, by introducing a new operator, improving and generating a p-Laplace operator for some p > 1, we consider the existence of triple positive solutions for some nonlinear m-point boundary value problems on the half-line
where is the increasing homeomorphism and positive homomorphism and . We show the existence of at least three positive solutions with suitable growth conditions imposed on the nonlinear term
by using the five functionals fixed-point theorem.
Project supported by Foundation of Major Project of Science and Technology of Chinese Education Ministry, SRFDP of Higher
Education, NSF of Education Committee of Jiangsu Province and Project of Graduate Education Innovation of Jiangsu Province. 相似文献
13.
Luisa Fattorusso 《Czechoslovak Mathematical Journal》2008,58(1):113-129
Let Ω be a bounded open subset of ℝ
n
, n > 2. In Ω we deduce the global differentiability result
for the solutions u ∈ H
1 (Ω, ℝ
n
) of the Dirichlet problem
with controlled growth and nonlinearity q = 2.
The result was obtained by first extending the interior differentiability result near the boundary and then proving the global
differentiability result making use of a covering procedure. 相似文献
14.
T. Chanturia 《Georgian Mathematical Journal》1994,1(1):1-8
It is shown that the differential equation
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相似文献
15.
In this paper we completely solve the family of Thue equations
16.
E.G. Coffman Jr. George S. Lueker Joel Spencer Peter M. Winkler 《Probability Theory and Related Fields》2001,120(4):585-599
A random rectangle is the product of two independent random intervals, each being the interval between two random points
drawn independently and uniformly from [0,1]. We prove that te number C
n
of items in a maximum cardinality disjoint subset of n random rectangles satisfies
17.
TAOYOUSHAN GAOGUOZHU 《高校应用数学学报(英文版)》1998,13(3):271-280
In this paper the forced neutral difterential equation with positive and negative coefficients d/dt [x(t)-R(t)x(t-r)] P(t)x(t-x)-Q(t)x(t-σ)=f(t),t≥t0,is considered,where f∈L^1(t0,∞)交集C([t0,∞],R^ )and r,x,σ∈(0,∞),The sufficient conditions to oscillate for all solutions of this equation are studied. 相似文献
18.
In this paper we completely solve the family of Thue equations
19.
V. M. Evtukhov 《Mathematical Notes》2000,67(2):160-167
For the nonlinear differential equation
20.
Dominique Barbolosi 《Monatshefte für Mathematik》1999,28(4):189-200
For any irrational , let denote the regular continued fraction expansion of x and define f, for all z > 0 by and by J. GALAMBOS proved that (μ the Gauss measure)
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