EXISTENCE OF SOLUTIONS FOR NONLINEAR OPERATOR EQUATIONS

Bu Yucheng; Dong Yujun

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EXISTENCE OF SOLUTIONS FOR NONLINEAR OPERATOR EQUATIONS

机译：非线性算子方程解的存在性

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摘要

We investigate solutions for nonlinear operator equations and obtain some abstract existence results by linking methods. Some well-known theorems about periodic solutions for second-order Hamiltonian systems by M. Schechter are special cases of these results.

机译：我们研究非线性算子方程的解，并通过链接方法获得一些抽象的存在结果。 M. Schechter关于二阶哈密顿系统的周期解的一些著名定理是这些结果的特例。

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来源
《Discrete and continuous dynamical systems》 |2019年第8期|4429-4441|共13页
作者
Bu Yucheng; Dong Yujun;
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作者单位

Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China|Zhenjiang Coll, Danyang Normal Sch, Zhenjiang 212300, Jiangsu, Peoples R China;

Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China;

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正文语种 eng
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关键词
Operator equations; critical points; linking; existence of solution; second-order Hamiltonian systems;

机译：算子方程;临界点;链接;解的存在性;二阶哈密顿系统;

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专利

1. Existence of three solutions for equations of p ( x ) $p(x)$ -Laplace type operators with nonlinear Neumann boundary conditions [J] . In Hyoun Kim, Yun-Ho Kim, Kisoeb Park Boundary value problems . 2016,第1期

机译：具有非线性Neumann边界条件的p（x）$ p（x）$ -Laplace型算子方程的三个解的存在性
2. Existence and Uniqueness of Periodic Solutions for a Class of Nonlinear Equations with -Laplacian-Like Operators [J] . Hui-Sheng Ding, Guo-Rong Ye, Wei Long Advances in Difference Equations . 2010,第1期

机译：具有-Laplacian-Like算子的一类非线性方程周期解的存在性和唯一性
3. Existence and Uniqueness of Periodic Solutions for a Class of Nonlinear Equations with -Laplacian-Like Operators [J] . Hui-Sheng Ding, Guo-Rong Ye, Wei Long Advances in Difference Equations . 2010,第1期

机译：具有-Laplacian-Like算子的一类非线性方程周期解的存在性和唯一性
4. Numerical existence theorem for solutions of semilinear parabolic equations using the evolution operator [C] . Akitoshi Takayasu, Makoto Mizuguchi, Takayuki Kubo, International Conference on Simulation Technology . 2015

机译：使用演化运营商的半线性抛物线方程解的数值存在定理
5. EXISTENCE AND MULTIPLICITY OF CONTINUA FOR NONLINEAR OPERATOR EQUATIONS. [D] . YERION, KATHERINE ANN. 1978

机译：非线性算子方程的连续性的存在性和多重性。
6. EXISTENCE OF PERIODIC SOLUTIONS FOR NONLINEAR EQUATIONS OF EVOLUTION [O] . Felix E. Browder 1965

机译：非线性演化方程周期解的存在性
7. EXISTENCE OF PERIODIC SOLUTIONS FOR NONLINEAR EVOLUTION EQUATIONS WITH PSEUDO MONOTONE OPERATORS(Nonlinear Analysis and Convex Analysis) [O] . SHIOJI NAOKI 1996

机译：伪单调算子的非线性演化方程周期解的存在性（非线性分析和凸分析）
8. Existence and uniqueness of solutions to a class of nonlinear-operator-differential equations arising in automated spaceship navigation [R] . Bogdan, V. M. 1981

机译：自动飞船导航中一类非线性算子微分方程解的存在唯一性

EXISTENCE OF SOLUTIONS FOR NONLINEAR OPERATOR EQUATIONS

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