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在Banach中讨论了一类二阶微分包含的边值问题和一类反馈控制问题.结合不动点定理,对解的存在性给出了两个充分性条件,最后应用前面的结果建立了反馈控制问题解的存在性定理. 相似文献
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本文研究了一类非线性二阶三点边值问题的正解的存在性.运用Leray-Schauder不动点定理获得了存在正解的充分条件,改进了文献[1]中的结果. 相似文献
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洪世煌 《数学物理学报(A辑)》2007,27(4):711-719
基于 Marteli 定理[8], 该文得到了一个新的不动点定理,利用这一结果,作者给出了在Banach空间中的多值微分包含的非线性边值问题的解的存在性的充分条件. 相似文献
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本文在无穷维Banach空间中讨论微分包含解的存在性,先给出了几个普通微分包含的比较定理,讨论了近似解与解的关系,然后得到了Banach空间中微分包含解的存在性定理. 相似文献
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本文讨论了无界区间上脉冲发展微分包含解的存在性.通过使用一个新的Leray-Schauder型的非线性多值二择一定理,在适当的条件下,建立了这类问题解存在的充分条件. 相似文献
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In this paper we establish some oscillation or nonoscillation criteria for the second order half-linear differential equation
where
(i) r,c ∈ C([t
0, ∞), ℝ := (− ∞, ∞)) and r(t) > 0 on [t
0, ∞) for some t
0 ⩾ 0;
(ii) Φ(u) = |u|p−2
u for some fixed number p > 1.
We also generalize some results of Hille-Wintner, Leighton and Willet. 相似文献
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In this paper we consider a general nonlinear boundary value problem for second-order differential inclusions. We prove two
existence theorems, one for the ``convex' problem and the other for the ``nonconvex' problem. Then we show that the solution
set of the latter is dense in the C
1
(T,R
N
) -norm to the solution set of the former (relaxation theorem). Subsequently for a Dirichlet boundary value problem we prove the
existence of extremal solutions and we show that they are dense in the solutions of the convexified problem for the C
1
(T,R
N
) -norm . Our tools come from multivalued analysis and the theory of monotone operators and our proofs are based on the Leray—Schauder
principle.
Accepted 18 September 1997 相似文献
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Nguyen Quang Huy Do Sang Kim Nguyen Van Tuyen 《Journal of Optimization Theory and Applications》2017,174(3):728-745
In the present paper, we establish some results for the existence of optimal solutions in vector optimization in infinite-dimensional spaces, where the optimality notion is understood in the sense of generalized order (may not be convex and/or conical). This notion is induced by the concept of set extremality and covers many of the conventional notions of optimality in vector optimization. Some sufficient optimality conditions for optimal solutions of a class of vector optimization problems, which satisfies the free disposal hypothesis, are also examined. 相似文献
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