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本文研究二阶带阻尼问题周期解的存在性问题.在局部渐近二次条件下,利用临界点理论,获得一些新的存在性结果,推广了已有文献的相关存在性结论. 相似文献
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不稳定型二阶中立型方程正解的存在性与有界振动 总被引:1,自引:0,他引:1
本文研究一类不稳定型二阶中立型微分方程正解的存在性与有界振动.证明了在一定条件下不稳定型二阶中立型方程总存在无界正解,并给出了保证其方程的一切有界解都振动的充分条件,改进了文[1,2]中的有关条件. 相似文献
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在不同共振条件下研究一类二阶非线性微分方程多点边值问题正解的存在性.利用范数形式的Leggett-Williams不动点定理,给出了问题正解的存在性结果,所得结论不同于已有文献. 相似文献
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谢胜利 《数学物理学报(A辑)》2010,30(1):258-266
该文使用不动点指数理论,研究二阶奇异非线性微分方程组多点边值问题的正解和多个正解的存在性.给出某些保证解的存在性的极限条件,这些条件适用于较一般的函数. 相似文献
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Lai-Jiu Lin 《Journal of Global Optimization》2007,39(4):509-527
In this paper, we prove the existence theorems of two types of systems of variational inclusions problem. From these existence
results, we establish Ekeland’s variational principle on topological vector space, existence theorems of common fixed point,
existence theorems for the semi-infinite problems, mathematical programs with fixed points and equilibrium constraints, and
vector mathematical programs with variational inclusions constraints. 相似文献
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Lai-jiu Lin 《Journal of Global Optimization》2006,34(1):15-32
In this paper, we establish the existence theorems of the generalized vector quasi-equilibrium problems. From some existence
theorem, we establish fixed point theorems for a family of lower semicontinuous or nonexpansive multivalued mappings. We also
obtain the existence theorems of system of mixed generalized vector variational-like inequalities and existence theorems of
the Debreu vector equilibrium problems and the Nash vector equilibrium problems. 相似文献
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Mircea Balaj 《Nonlinear Analysis: Theory, Methods & Applications》2010,73(3):673-682
In this paper, we study various types of variational relation problems. We establish the existence of solutions for these types of problems and point out some important particular cases and their applications. We also show that some existence theorems of solution for these types of problems and some existence theorems of variational inclusion problems are equivalent to a generalized KKM theorem. Applying our results we obtain existence theorems of common fixed point, generalized maximal element theorems, a generalized coincidence theorems and a section theorem. 相似文献
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In this paper, we establish some equivalence relations between coincidence theorems and KKM-type theorems. We also obtain some new coincidence theorems and fixed point theorems. Applying the KKM-type theorems we obtain the existence theorems of generalized vector equilibrium problems. From these results, some existence theorems of generalized vector implicit variational inequality problems are established in this paper. 相似文献
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In this paper, we first establish the existence theorems of generalized vector quasi-equilibrium problems. From these results, we establish the existence theorems of common fixed point theorems for two multivalued maps and mathematical programs with an equilibrium constraint as applications. 相似文献
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In this paper, we use existence theorems for the equilibria of generalized abstract economies proved recently to establish existence theorems for systems of generalized vector quasiequilibrium problems. Then, these existence theorems for equilibrium problems are used to derive existence theorems for systems of generalized vector quasivariational-like inequality problems, and vector quasioptimization problems.This research was supported by the National Science Council of the Republic of China. The authors express their gratitude to the referees for valuable suggestions. 相似文献
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Lai-Jiu Lin Chih-Sheng Chuang 《Nonlinear Analysis: Theory, Methods & Applications》2008,69(11):4063-4073
In this paper, we study the systems of nonempty intersection theorems. By the systems of nonempty intersection theorems, we can study the existence theorem of systems of quasi-KKM problems, the existence theorems of systems of quasi-variational inclusions problems, the existence theorems of systems of quasi-variational disclusions problems, and fixed point theorem. We also establish some of their equivalent relations. 相似文献
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丁协平 《数学物理学报(B辑英文版)》2007,27(3):522-534
By applying a maximal element theorem on product FC-space due to author, some new equilibrium existence theorems for generalized games with fuzzy constraint corre- spondences are proved in FC-spaces.By using these equilibrium existence theorems,some new existence theorems of solutions for the system of generalized vector quasi-equilibrium problems are established in noncompact product FC-spaces.These results improve and generalize some recent results in literature to product FC-spaces without any convexity structure. 相似文献
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Lai-Jiu Lin 《Journal of Global Optimization》2009,44(4):579-591
In this paper, we study the existence theorems of systems of variational inclusion problems. From these existence results,
we study the existence theorems of systems of variational differential inclusion problems, mathematical program with systems
of variational inclusion constraints, and mathematical program with systems of equilibrium constraints. 相似文献
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Shiow-Yu Chang 《Nonlinear Analysis: Theory, Methods & Applications》2010,73(9):2933-2940
This paper concentrates on the problem of the existence of equilibrium points for non-cooperative generalized N-person games, N-person games of normal form and their related inequalities. We utilize the K-K-M lemma to obtain a theorem and then use it to obtain a new Fan-type inequality and minimax theorems. Various new equilibrium point theorems are derived, with the necessary and sufficient conditions and with strategy spaces with no fixed point property. Examples are given to demonstrate that these existence theorems cover areas where other existence theorems break down. 相似文献