中国科技论文在线

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2009年02月24日

【期刊论文】Periodic solutions of a nonlinear second-order differential equation with deviating argument

刘斌， Bing Liu

B. Liu/J. Math, Anal, Appl. 309(2005)313-321，-0001，（）：

-1年11月30日

With the help of the coincidence degree continuation theorem, the xistence of periodic solutions of a nonlinear second-order differential equation with deviating argument x''(t)+ƒ1(x(t)x'(t+ƒ2(x(t))(x'(t))2+g(x(t-r(t))=0, under some assumptions are obtained.

Periodic solutions， Coincidence degree continuation theorem， Deviating argument

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2009年02月24日

【期刊论文】Positive solutions of second-order three-point boundary value problems with change of sign in Banach spaces

刘斌， Bing Liu

B Liu/Nonlinear Analysis 64(2006)1336-1355，-0001，（）：

-1年11月30日

摘要

In this paper, by using the fixed points of strict-set contractions, we study the existence of at least one or two positive solutions to the second-order three-point boundary value problem y''(t)+a(t)ƒ(y(t))=θ, 0<t<1, y(0)=θ, y(1)=βy(η) in Banach space E, where θ is the zero element of E, 0<β<1, 0<η<1 and a (t) is allowed to change sign on [0, 1]. As an application, we also give one example to demonstrate our results.

Banach space， Positive solution， Fixed point， Three-point boundary value problems

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2009年02月24日

【期刊论文】Controllability of Neutral Functional Differential and Integrodifferential Inclusions with Infinite Delay

刘斌， B. Liu

JOTA: VOL. 123, NO.3, DECEMBER 2004, 573-593，-0001，（）：

-1年11月30日

摘要

Sufficient conditions are derived for the controllability of neutral functional differential and integrodifferential inclusions with infinite delay in a Banach space. The results are obtained by using a fixed-point theorem for condensing maps due to Martelli. An example is given to illustrate the results.

Controllability， mild solutions， convex multivalued maps， neutral functional differential inclusions， neutral functional ntegrodifferential inclusions， infinite delays.，

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2009年02月24日

【期刊论文】Controllability of impulsive neutral functional differential inclusions with infinite delay

刘斌， Bing Liu

B. Liu/Nonlinear Analysis 60(2005)1533-1552，-0001，（）：

-1年11月30日

摘要

The paper is concerned with the controllability of the first-order impulsive neutral functional differential inclusions with infinite delay in a Banach space. Sufficient conditions for controllability are obtained by using a fixed point theorem for condensing maps due to Martelli. As an application, we also consider an impulsive neutral partial functional differential equation.

Controllability， Mild solution， Convex multivalued map， Impulsive neutral functional differential inclusions， Infinite delay

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2009年02月24日

【期刊论文】Positive Solutions of Three-Point Boundary Value Problems for the One-Dimensional p-Laplacian with Infinitely Many Singularities

刘斌， BING LIU

Applied Maqthematics Letters 17(2004)655-661，-0001，（）：

-1年11月30日

摘要

We consider the singular three-point boundary value problems (Φp (y'))'+a(t)ƒ(y (t))=0, 0<t<1, y' (0)=0, y (1)=βy (n), where Φp (s)=|s|p-2s, p>2, 0<β< 1, 0<η< 1, f ∈ C ((0,+∞), (0,+∞)), a: (0, 1)～(0,+∞), and has countably many singularities in (0, 1/2). We show that there exist countably many positive solutions by using the fixed-point index theory.

Singularity,， One-dimensional p-Laplacian,， Multiple positive solutions,， Three-point boundary value problems,， Fixed-point index.，

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