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2009年02月24日

【期刊论文】Existence and Uniqueness of Solutions to First-Order Multipoint Boundary Value Problems

刘斌， BING LIU

Applied Mathematics Letters 17(2004)130-1316，-0001，（）：

-1年11月30日

this paper, we give existence and uniqueness results for solutions of multipoint boundary value problems of the form x'=ƒ(t,x(t))+e(t), t∈(0,1), m∑j=1/Ajx (ηj)=0, where ƒ: [0, 1] x Rn→Rn is s Carathdodory function, Ajs (j=1, 2,……,m) are constant square matrices of order n1, 0<η1<η2<…<ηm-1<ηm<1, and e(t) ∈L1([0, 1], Rn). The existence of solutions is proven by the coincidence degree theory. As an application, we also give one example to demonstrate our results.

First-order system， Existence and uniqueness of solution， Multipoint boundary value problems， Fredholm operator， Coincidence degree.，

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2009年02月24日

【期刊论文】Controllability of Nonlinear Neutral Evolution Integrodifferential Systems with Infinite Delay

刘斌， B. Liu

JOTA: VOL. 122, NO.1, JULY 2004, 99-109，-0001，（）：

-1年11月30日

摘要

Sufficient conditions are derived for the controllability of nonlinear neutral evolution integrodifferential systems with infinite delay in a Banach space. The results are obtained by using the resolvent operators and the Schaefer fixed-point theorem. An example is given to illustrate the results.

Controllability， mild solutions， resolvent operators， neutral evolution integrodifferential systems， infinite delays.，

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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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2013年04月06日

【期刊论文】A maximum principle for optimal control system with endpoint constraints

刘斌， Weifeng Wang and Bin Liu

Journal of Inequalities and Applications 2012, 2012，-0001，（）：

-1年11月30日

摘要

Pontryagin’s maximum principle for an optimal control system governed by an ordinary differential equation with endpoint constraints is proved under the assumption that the control domain has no linear structure. We also obtain the variational equation, adjoint equation and Hamilton system for our problem.

Pontryagin’s maximum principle， optimal control， Hamilton system，

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