共查询到20条相似文献,搜索用时 46 毫秒
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本文研究了共振条件下一类p-Laplace 型方程边值问题的可解性. 利用度理论, 得到至少存在一个解的充分条件, 并举例说明所得的结果是有效的. 相似文献
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讨论了含有各阶导数的共振四阶p-Laplace方程边值问题■这里0 ξ,η1;a,b 0.使得aξ=1,且b~(p-1)η≤1运用重合度理论得到问题解的存在性. 相似文献
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本文研究了类p-Laplace方程,利用证明其对应的变分泛函满足Cerami条件,得到了无穷多个大能量解的存在性,推广并改进了已有结果. 相似文献
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本文讨论一类二阶两点边值问题$x^{\prime\prime}(t)+f(t,x(t),x^{\prime}(t))=0, t\in (0, 1)$, $a x(0)-b x^\prime(0)=0, ~~c x(1)+d x^\prime(1)=0$,~~其中 $f:[0,1]\times R^2\longrightarrow R$ 是连续的, $ a>0,b\ge 0,c>0,d\ge 0$. 通过运用上下解方法和 Leray-Schauder 度理论,得到了三个解的存在性结果. 相似文献
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p-Laplace方程混合边值问题正解的存在性 总被引:2,自引:0,他引:2
翟成波 《应用泛函分析学报》2003,5(2):170-173
运用锥上的不动点理论,讨论了p—Laplace方程混合边值问题正解的存在性。 相似文献
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Wu Jiongqi 《Annals of Differential Equations》2005,21(4):592-597
In this paper N-dimensional singular, p-Laplace equations of the following form are considered, where p ≥N, β > 0, and f : [0,∞)×(0,∞)×[0, ∞)→[0,∞) is a continuous function. Some sufficient conditions are obtained for the existence of infinitely many radially positive entire solutions of the equation which are asymptotic to positive constant multiples of |x|(p-N)/(p-1) for p > N or log|x| for N = p as |x|→∞. 相似文献
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王阳 《数学物理学报(B辑英文版)》2007,27(2):274-282
This article consider, for the following heat equation ut/|x|s-△pu=uq,(x,t)∈Ω×(0,T), u(x,t)=0,(x,t)∈(?)Ω×(0,T), u(x,0)=u0(x),u0(x)≥0,u0(x)(?)0 the existence of global solution under some conditions and give two sufficient conditions for the blow up of local solution in finite time, whereΩis a smooth bounded domain in RN(N>p),0∈Ω,△pu=div(|▽u|p-2▽u),0≤s≤2,p≥2,p-1
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Liu Shengmao 《数学年刊B辑(英文版)》1992,13(4):507-512
The author obtains the existence of the local and global solution for a class of semilinear evolution equations in a Hilbert spcae, and uses the results to prove the existence of the solution for semilinear parabolic partial differential equations in R~n. 相似文献
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A NECESSARY AND SUFFICIENT CONDITION OF EXISTENCE OF GLOBAL SOLUTIONS FOR SOME NONLINEAR HYPERBOLIC EQUATIONS 总被引:2,自引:0,他引:2
Zhang Quande 《数学年刊B辑(英文版)》1995,16(4):461-468
ANECESSARYANDSUFFICIENTCONDITIONOFEXISTENCEOFGLOBALSOLUTIONSFORSOMENONLINEARHYPERBOLICEQUATIONS¥ZHANGQUANDE(DepartmentofMathe... 相似文献
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黄海洋 《数学物理学报(B辑英文版)》2004,24(4):613-622
In this paper, the existence of the periodic solutions for a forced Burgers equation coupled to a non-homogeneous Ginzburg-Landau equation is proved by Leray-Schauder fixed point theorem and Galerkin method under appropriate conditions. 相似文献
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本文主要目的是利用值分布理论研究复高阶微分方程(Ω(z,w)/w^k0(w’)^k1…(w^(n)^kn)^m=aw^p ∑j=0^s bj(z)w^j,(p≥m)亚纯允许解的存在性问题.证明了一个在适当的条件下,该微分方程的亚纯解一定不是允许解的结果.实例表明该文的结果是最佳的. 相似文献
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时滞Logistic方程非振动解的存在性 总被引:3,自引:0,他引:3
本文获得了时滞Logistic方程 x'(t)=r(t)x(t)[1-a_1x(g_1(t))-a_2x(g_2(t))]~a,t≥0关于其正平衡状态x=1/(a_1+a_2)存在非振动解的充分条件与充要条件,改进并推广了Aiello中的结果. 相似文献
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1 IntroductionThe purpose of the present paper is to deal with the existence of positive periodic solutionsfor the general Volterra inteRro-differential eouation8where a(t) E C(R,R), f0w a(t)dt > 0, b(t) e C(R,(0,oc)), g E C(R x [0,co),[0,co)), anda(t), b(t), g(t, y) are all w-periodic functions. w > 0 is a constant.The function a(t) is unneces8ary to be po8itive. Since the environment fiuctuates randomlyin bad condition, a(t) may be negative.It is well known that the illtegrDedifferentia… 相似文献
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关于一类非线性发展方程整体解的存在性问题 总被引:15,自引:1,他引:15
本文研究一类模拟非线性弹性杆的纵振动的非线性发展方程的初边值问题,证明了其整体解的存在性、唯一性、光滑性及在一定条件下,整体解的不存在性。 相似文献