Monotone Iterative Technique for First-Order Nonlinear Periodic Boundary Value Problems on Time Scales

Ya-Hong Zhao; Jian-Ping Sun

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Monotone Iterative Technique for First-Order Nonlinear Periodic Boundary Value Problems on Time Scales

机译：时间尺度上一阶非线性周期边值问题的单调迭代技术

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摘要

We investigate the following nonlinear first-order periodic boundary value problem on time scales: , , . Some new existence criteria of positive solutions are established by using the monotone iterative technique.

机译：我们在时间尺度上研究以下非线性一阶周期边值问题：，，。利用单调迭代技术建立了一些新的正解存在准则。

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《Advances in Difference Equations》 |2010年第1期|共10页
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Ya-Hong Zhao; Jian-Ping Sun;
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中图分类数学;
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1. Coupled solutions and monotone iterative techniques for some nonlinear initial value problems on time scales [J] . Kaymakcalan B., Lawrence BA. Nonlinear analysis. Real world applications . 2003,第2期

机译：时间尺度上一些非线性初值问题的耦合解和单调迭代技术
2. Monotone iterative method for first-order functional difference equations with nonlinear boundary value conditions [J] . Wang PG, Tian SH, Wu YH Applied mathematics and computation . 2008,第1期

机译：具有非线性边界值条件的一阶泛函差分方程的单调迭代方法
3. Periodic boundary value problems for nonlinear first-order impulsive dynamic equations on time scales [J] . Da-Bin Wang Advances in Difference Equations . 2012,第1期

机译：时标上非线性一阶脉冲动力方程的周期边值问题
4. Monotone-iterative method for a mixed nonlinear boundary value problem for differential equations with "maxima" [C] . S. Hristova, K. Stefanova International Conference "Applications of Mathematics in Engineering and Economics" . 2012

机译：用“Maxima”的微分方程混合非线性边值问题的单调迭代方法
5. Generalized Monotone Iterative Techniques for Fractional Differential Equations with Boundary Conditions. [D] . Ramirez-Valdez, Juan Diego. 2012

机译：带边界条件的分数阶微分方程的广义单调迭代技术。
6. Pseudo-monotone operators and nonlinear elliptic boundary value problems on unbounded domains [O] . Felix E. Browder 1977

机译：无界域上的伪单调算子和非线性椭圆边值问题
7. Monotone Iterative Technique for First-Order Nonlinear Periodic Boundary Value Problems on Time Scales [O] . Ya-Hong Zhao, Jian-Ping Sun 2010

机译：时间尺度上一阶非线性周期边值问题的单调迭代技术
8. Minimax solutions for monotone systems of first-order nonlinear partial differential equations with time-measurable Hamiltonians [R] . Nguyen Duy Thai Son, Nguyen Dac Liem, Tran Duc Van 1995

机译：具有时间可测量哈密顿量的一阶非线性偏微分方程单调系统的minimax解

Monotone Iterative Technique for First-Order Nonlinear Periodic Boundary Value Problems on Time Scales

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