POSITIVE ENTIRE SOLUTIONS TO NON-LINEAR p-LAPLACE SYSTEMS

We consider the N-dimensional singular p-Laplace systems and obtain some sufficient conditions which guarantee that the system has infinitely many radial positive entire asymptotic solutions.     

奇异非线性$p-$调和方程的一类正整体解

设p>1,β≥0是常数, n是自然数, 是一个连续函数.本文研究形如的奇异非线性p-调和方程的正整体解,给出了该类方程具有无穷多个其渐近阶刚好为|x|(2n-2)(当|x|→∞时)的径向对称的正整体解的若干充分条件.     

EXISTENCE OF POSITIVE ENTIRE SOLUTIONS FOR QUASILINEAR ELLIPTIC SYSTEMS

In this paper, the existence of positive solutions for a class of quasilinear elliptic differential equation systems are established by Schauder-TychonofF fixed point theorem.     

${\mbox{\boldmath $R$}}^N$上奇异非线性多调和方程的正整体解

本文研究形如△((△nu)(p-1) )=f(|x|,u,|(?)u|)u-β,x∈RN的奇异非线性多调和方程在RN上的正整体解,此处P>1,β≥0是常数,n是自然数,f:R × R ×R →R 是一个连续函数, ξδ*:=sign(ξ)·|ξ|δ,,ξ∈R,δ>0,给出了该类方程具有无穷多个其渐进阶刚好为|x|2n的正整体解的充分条件与必要条件.这些结论可以推广到更一般的方程.     

关于奇异的非线性椭圆型方程正的整体解的存在性

本文建立一类奇异的非线性椭圆型方程正的整体解的存在定理，并给出解在无穷远的增长性质，推广了文［１］的结果。     

ON THE EXISTENCE OF POSITIVE SOLUTIONS FOR SINGULAR NEUMANN BOUNDARY VALUE PROBLEMS

By using fixed point index theory, we consider the existence of positive solutions for singular nonlinear Neumann boundary value problems. Our main results extend and improve many known results even for non-singular cases.     

关于R^2上的半线性双调和方程的正的整体解

本文研究一类平面上半线性双调和方程的正经向对称的整体解的存在性及解的性质，拓广了文〔１〕、〔２〕的结果。     

EXISTENCE OF POSITIVE RADIAL SOLUTIONS AND ENTIRE SOLUTIONS FOR QUASILINEAR SINGULAR BOUNDARY VALUE PROBLEMS

ＥＸＩＳＴＥＮＣＥＯＦＰＯＳＩＴＩＶＥＲＡＤＩＡＬＳＯＬＵＴＩＯＮＳＡＮＤＥＮＴＩＲＥＳＯＬＵＴＩＯＮＳＦＯＲＱＵＡＳＩＬＩＮＥＡＲＳＩＮＧＵＬＡＲＢＯＵＮＤＡＲＹＶＡＬＵＥＰＲＯＢＬＥＭＳＹａｎｇＺｕｏｄｏｎｇ（杨作东）＆ＧｕｏＺｏｎｇｍｉｎｇ（郭...     

EXISTENCE OF POSITIVE PERIODIC SOLUTIONS FOR VOLTERRA INTERGO-DIFFERENTIAL EQUATIONS

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…     

一类R^2上奇异非线性多重调和方程的正整解

以Ｓｃｈａｕｄｅｒ－Ｔｙｃｈｏｎｏｆｆ不动点定理为工具,建立了一类平面上奇异非线性多重调和方程正的径向对称整体解的存在性定理,并给出了解的有关性质。     

n阶中立型时滞方程衰减正解的存在性

研究了ｎ阶中立型方程（ｘ（ｔ）－ｃｘ（ｔ－τ）＾（ｎ）＋ｐ（ｔ）ｘ（ｇ（ｔ））＝０，ｔ≥ｔ０，ｎ≥１（＊）正解的存在性，在ｐ（ｔ）常号和变号的情况下，给出了（＊）存在衰减正解的充分条件，特别，这偏离 文「２」，「４－６」和「８－１２」的有关结果。     

EXISTENCE OF POSITIVE SOLUTIONS FOR p-LAPLACIAN SINGULAR BOUNDARY VALUE PROBLEMS OF FUNCTIONAL DIFFERENTIAL EQUATION

In this paper, the boundary value problems of p-Laplacian functional differential equation are studied. By using a fixed point theorem in cones,some criteria for the existence of positive solutions are given.     

EXISTENCE OF POSITIVE PERIODIC SOLUTIONS FOR INFINITE DELAY FUNCTIONAL DIFFERENTIAL EQUATIONS

In this paper, the existence of positive periodic solutions for infinite delay functional differential equations(FDEs for short) is discussed by utilizing a fixed point theorem on a cone in Banach space. Some results on the existence of positive periodic solutions are derived.     

NONEXISTENCE AND EXISTENCE OF POSITIVE SOLUTIONS FOR 2nTH-ORDER SINGULAR SUPERLINEAR PROBLEMS WITH STRUM-LIOUVILLE BOUNDARY CONDITIONS

This paper investigates a class of 2nth-order singular superlinear problems with Strum-Liouville boundary conditions. We obtain a necessary and sufficient condition for the existence of C 2 n- 2 [0, 1] positive solutions, and a sufficient condition, a necessary condition for the existence of C 2 n-1 [0, 1] positive solutions. Relations between the positive solutions and the Green’s functions are depicted. The results are used to judge nonexistence or existence of positive solutions for given boundary value problems.     

Sturm-Liouville方程奇异边值问题的正解

本文利用不动点指数理论,讨论Sturm-Liouville方程(p(t)u'(t))'+g(t)F(t,u)=0 奇异边值问题的正解的存在性.     

一类非线性分数阶泛函微分方程的正解的存在性

本文研究了一类非线性分数阶泛函微分方程.利用锥拉伸与锥压缩不动点定理,得到这类分数阶泛函微分方程的正解的存在性,推广了马如云的结果.     

EXISTENCE OF POSITIVE SOLUTIONS TO A THREE-POINT BOUNDARY VALUE PROBLEM FOR SECOND ORDER DYNAMIC EQUATIONS WITH DERIVATIVE ON TIME SCALES

In this paper, we consider the existence of positive solutions to a three-point boundary value problem for second order dynamic equations with derivative on time scales.Applying Leggett-Williams fixed point theorem, we obtain at least three positive solutions to the problem. An example is also presented to illustrate the applications of the results obtained.     

时滞差分方程周期正解的存在性

本文考虑了一类非线性离散种群模型周期正解的存在性.     

EXISTENCE OF MULTIPLE POSITIVE PERIODIC SOLUTIONS TO A CLASS OF INTEGRO-DIFFERENTIAL EQUATION

In this paper,by the Avery-Henderson fixed point theorem,we investigate the existence of multiple positive periodic solutions to a class of integro-differential equation. Some suficient conditions are obtained for the existence of multiple positive periodic solutions.     

带Robin边值条件的半线性奇异椭圆方程正解的存在性

本文研究了一类带Robin边值条件的半线性奇异椭圆方程．通过Hardy不等式，山路引理以及选取适当的试验函数验证局部PS条件，得到了此类方程正解的存在性这一结果．