A Fixed Point Approach to Hyers-Ulam-Rassias Stability of Nonlinear Differential Equations

Maher Nazmi Qarawani

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A Fixed Point Approach to Hyers-Ulam-Rassias Stability of Nonlinear Differential Equations

机译：非线性微分方程的Hyers-Ulam-Rassias稳定性的不动点方法

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In this paper we use the fixed point approach to obtain sufficient conditions for Hyers-Ulam-Rassias stability of nonlinear differential. Some illustrative examples are given.

机译：在本文中，我们使用定点方法来获得非线性微分的Hyers-Ulam-Rassias稳定性的充分条件。给出了一些说明性的例子。

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《American Journal of Applied Mathematics and Statistics 》 |2015年第6期| 共7页
作者
Maher Nazmi Qarawani;
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中图分类数学 ;
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1. Hyers-Ulam-Rassias Stability by Fixed Point Techniquefor Half-linear Differential Equations with UnboundedDelay [J] . Maher Nazmi Qarawani British Journal of Mathematics Computer Science . 2015 ,第6期

机译：具有无界延迟的半线性微分方程的不动点技术Hyers-Ulam-Rassias稳定性
2. Hyers-Ulam-Rassias Stability by Fixed Point Technique for Half-linear Differential Equations with Unbounded Delay [J] . Maher Nazmi Qarawani British Journal of Mathematics & Computer Science . 2015 ,第6期

机译：具有无穷时滞的半线性微分方程的不动点技术Hyers-Ulam-Rassias稳定性
3. On Hyers-Ulam-Rassias Stability for Bernoulli's andFirst Order Linear and Nonlinear Differential Equations [J] . Maher Nazmi Qarawani British Journal of Mathematics Computer Science . 2014 ,第11期

机译：伯努利和一阶线性和非线性微分方程的Hyers-Ulam-Rassias稳定性
4. Stability of nonlinear impulsive differential equations with non-fixed moments of jumps [C] . Petro Feketa, Naim Bajcinca European Control Conference . 2018

机译：非固定跳跃时刻的非线性脉冲微分方程的稳定性
5. Asymptotic Stability of Systems of Coupled Nonlinear Partial Differential Equations arising From Acoustic-Structural and Fluid-Structural Interaction. [D] . Lu, Yongjin. 2012

机译：由声-结构和流体-结构相互作用产生的耦合非线性偏微分方程系统的渐近稳定性。
6. Stability and square integrability of derivatives of solutions of nonlinear fourth order differential equations with delay [O] . Erdal Korkmaz -1

机译：时滞非线性四阶微分方程解的导数的稳定性和平方可积性。
7. Hyers-Ulam-Rassias Instability for Linear and Nonlinear Systems of Differential Equations [O] . Maher Nazmi Qarawani 2019

机译：微分方程线性和非线性系统的Hyers-Ulam-Rassias稳定性
8. Lyapunov stability for partial differential equations. Part 1 - Lyapunov stability theory and the stability of solutions to partial differential equations. Part 2 - Contraction groups and equivalent norms [R] . Buis, G. R., Eisen, M. M., Vogt, W. G. 1968

机译：偏微分方程的Lyapunov稳定性。第1部分 - Lyapunov稳定性理论和偏微分方程解的稳定性。第2部分 - 收缩组和等效规范

A Fixed Point Approach to Hyers-Ulam-Rassias Stability of Nonlinear Differential Equations

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