The Role of Symmetry and Concavity in the Existence of Solutions of a Difference Equation with Dirichlet Boundary Conditions

Jeffrey T.Neugebauer

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The Role of Symmetry and Concavity in the Existence of Solutions of a Difference Equation with Dirichlet Boundary Conditions

机译：对称性和凹陷在Dirichlet边界条件下差分方程解的存在中的作用

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In this paper, the layered compression-expansion fixed point theorem is applied to show the existence of solutions of a second order difference equation with Dirichlet boundary conditions where the nonlinearity is the sum of a monotonic increasing and a monotonic decreasing function.A cone consisting of nonnegative symmetric functions that satisfy a concavity condition is integral to the analysis.

机译：在本文中，应用了分层压缩 - 扩展定点定理，示出了具有Dirichlet边界条件的二阶差分方程的解决方案存在，其中非线性是单调增加和单调减小功能的总和。包括的锥体满足凹凸条件的非负对称函数是对分析的一体化。

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《International Journal of Difference Equations》 |2020年第2期|共9页
作者
Jeffrey T.Neugebauer;
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正文语种
中图分类微分方程、积分方程;
关键词
Difference equationpositive solutionfixed pointcone.;

机译：差分公式阳性解决方案凝固频筒。;

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2. On the Existence of Solutions for Impulsive Duffing Dynamic Equations on Time Scales with Dirichlet Boundary Conditions [J] . YongkunLi, TianweiZhang Abstract and applied analysis . 2010,第1期

机译：具有Dirichlet边界条件的时标上脉冲Duffing动力学方程解的存在性
3. On the existence of positive solutions of singular nonlinear elliptic equations with Dirichlet boundary conditions [J] . Hirata K Journal of Mathematical Analysis and Applications . 2008,第2期

机译：具有Dirichlet边界条件的奇异非线性椭圆方程正解的存在性。
4. Existence of solutions for second-order impulsive differential equations with Dirichlet boundary conditions [C] . Dan Zhang, Binxiang Dai ICCCI 2010;International conference on computer and computational intelligence . 2010

机译：具有Dirichlet边界条件的二阶脉冲微分方程解的存在性
5. Numerical boundary conditions for the fourth-order accurate finite-difference time-domain solution of Maxwell's equations. [D] . Hwang, Kyu-Pyung. 2002

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6. New applications of the existence of solutions for equilibrium equations with Neumann type boundary condition [O] . Zhaoqi Ji, Tao Liu, Hong Tian, -1

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7. Existence and multiplicity results for nonlinear second order difference equations with Dirichlet boundary conditions [O] . Cristian Bereanu, Jean Mawhin 2006

机译：具有Dirichlet边界条件的非线性二阶差分方程的存在和多重性结果

The Role of Symmetry and Concavity in the Existence of Solutions of a Difference Equation with Dirichlet Boundary Conditions

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