共查询到20条相似文献,搜索用时 15 毫秒
1.
Zhi Ting Xu 《数学学报(英文版)》2010,26(11):2165-2178
We obtain some new Kamenev-type oscillation theorems for the second order semilinear elliptic differential equation with damping N ∑i,j=1Di[aij(x)Djy]+N∑i=1bi(x)Diy+c(x)f(y)=0 under quite general assumptions. These results are extensions of the recent results of Sun [Sun, Y. G.: New Kamenev-type oscillation criteria of second order nonlinear differential equations with damping. J. Math. Anal. Appl., 291, 341-351 (2004)] in a natural way. In particular, we do not impose any additional conditions on the damped functions bi (x) except the continuity. Several examples are given to illustrate the main results. 相似文献
2.
Zhi-ting Xu 《应用数学学报(英文版)》2009,25(2):291-304
Using general means, we establish several new Philos-type oscillation theorems for the second order damped elliptic differential equation
Σi,j=1 N Di[aij(x)Djy]+Σi=1 N bi(x)Diy+c(x)f(y)=0
under quite general assumptions. The obtained results are extensions of the well-known oscillation results due to Kamenev, Philos, Yan for second order linear ordinary differential equations and improve recent results of Xu, Jia and Ma. 相似文献
Σi,j=1 N Di[aij(x)Djy]+Σi=1 N bi(x)Diy+c(x)f(y)=0
under quite general assumptions. The obtained results are extensions of the well-known oscillation results due to Kamenev, Philos, Yan for second order linear ordinary differential equations and improve recent results of Xu, Jia and Ma. 相似文献
3.
Zhi Ting XU 《数学学报(英文版)》2007,23(7):1189-1198
By using vector Riccati transformation and averaging technique, some oscillation criteria for the quasilinear elliptic differential equation of second order,
ΣNi,j=1Di[Ψ(y)Aij(x)|Dy|^p-2Djy]+p(x)f(y)=0,
are obtained. These theorems extend and include earlier results for the semilinear elliptic equation and PDE with p-Laplacian. 相似文献
4.
Zhi-ting Xu 《应用数学学报(英文版)》2007,23(4):569-578
Some oscillation theorems are given for the nonlinear second order elliptic equationsum from i,j=1 to N D_i[a_(ij)(x)Ψ(y)||▽y||~(p-2)D_(jy)] c(x)f(y)=0.The results are extensions of modified Riccati techniques and include recent results of Usami. 相似文献
5.
Oscillation for systems of nonlinear neutral type parabolic partial functional differential equations 总被引:14,自引:0,他引:14
YANGJUN GUANXINPING 《高校应用数学学报(英文版)》1997,12(2):165-178
This paper discusses the oscillation of solutions for systems of nonlinear neutral type parabolic partial fuctional differential equations of the form 相似文献
6.
Pavlos Sinopoulos 《Aequationes Mathematicae》1995,49(1):122-152
In this paper we solve the equations
相似文献
7.
Hoai-Minh Nguyen 《Journal d'Analyse Mathématique》2007,101(1):367-395
In this paper, we prove the estimate
8.
Xiaomei Wu 《分析论及其应用》2008,24(2):139-148
Let→b=(b1,b2,…,bm),bi∈∧βi(Rn),1≤I≤m,βi>0,m∑I=1βi=β,0<β<1,μΩ→b(f)(x)=(∫∞0|F→b,t(f)(x)|2dt/t3)1/2,F→b,t(f)(x)=∫|x-y|≤t Ω(x,x-y)/|x-y|n-1 mΠi=1[bi(x)-bi(y)dy.We consider the boundedness of μΩ,→b on Hardy type space Hp→b(Rn). 相似文献
9.
O. E. Korkuna 《Ukrainian Mathematical Journal》2008,60(5):671-691
We establish conditions for the existence and uniqueness of a generalized solution of the Cauchy problem for the equation
10.
Let n≥2 be an integer number. In this paper, we investigate the generalized Hyers Ulam- Rassias stability in Banach spaces and also Banach modules over a Banach algebra and a C*-algebra and the stability using the alternative fixed point of an n-dimensional cubic functional equation in Banach spaces:f(2∑j=1^n-1 xj+xn)+f(2∑j=1^n-1 xj-xn)+4∑j=1^n-1f(xj)=16f(∑j=1^n-1 xj)+2∑j=1^n-1(f(xj+xn)+f(xj-xn) 相似文献
11.
A. S. Zhuk 《Journal of Mathematical Sciences》2008,150(3):2034-2044
Let M be either the space of 2π-periodic functions Lp, where 1 ≤ p < ∞, or C; let ωr(f, h) be the continuity modulus of order r of the function f, and let
12.
We consider statistics of the form
13.
WANGSHU WENSHIHLIANG YEQIXIAO 《高校应用数学学报(英文版)》1997,12(2):127-138
FINITETRAVELINGWAVESFORAREACTION┐DIFFUSIONSYSTEMWITHN(3)COMPONENTSWANGSHU,WENSHIHLIANGANDYEQIXIAOAbstract.Inthispaper,theex... 相似文献
14.
L. V. Kritskov 《Mathematical Notes》1999,65(4):454-461
Suppose thatА is a nonnegative self-adjoint extension to {
} of the formal differential operator−Δu+q(x)u with potentialq(x) satisfying the condition {
15.
O. M. Fomenko 《Journal of Mathematical Sciences》2006,133(6):1749-1755
Let f(z) be a holomorphic Hecke eigenform of weight k with respect to SL(2, ℤ) and let
16.
In this paper, we obtain all possible general solutions of the sum form functional equations
17.
Oto Strauch 《Monatshefte für Mathematik》1995,120(2):153-164
It is shown that the following three limits
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