共查询到20条相似文献,搜索用时 15 毫秒
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通过构造上、下控制函数,结合上、下解方法及不动点理论,研究了一类反应项不具任何单调性的时滞反应扩散方程,证明了此方程对应的边值问题存在唯一的周期(或概周期)解.并通过一个经典的化学模型说明了所得结果的意义. 相似文献
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《Nonlinear Analysis: Theory, Methods & Applications》2005,62(1):107-116
In this paper, by using the coincidence degree method, we obtain some sufficient conditions for the existence of multiple positive periodic solutions of a class of second-order differential equations under the existence of upper and lower solutions. 相似文献
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Fengjie Geng Yancong Xu Deming Zhu 《Nonlinear Analysis: Theory, Methods & Applications》2008,69(11):4074-4087
This paper deals with the periodic boundary value problem for a class of first-order impulsive dynamic equations on time scales. We introduce a new notion of lower and upper solutions, which extends the classical lower and upper solutions. The existence of extremal solutions is presented by virtue of the method of lower and upper solutions coupled with monotone iterative technique. An example is also included to illustrate the main results. 相似文献
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《Journal of Computational and Applied Mathematics》2002,138(2):205-217
In this paper, by means of the method of upper and lower solutions and the monotone iterative technique, the existence of minimal and maximal solutions of the periodic boundary value problem for first-order impulsive functional differential equations is considered. 相似文献
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《Applied Mathematics Letters》2005,18(1):91-99
By using the coincidence degree method, the existence of multiple periodic solutions for a class of second order differential equations is obtained under the existence of upper and lower solutions. 相似文献
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In this paper we show that the method of upper and lower solutions coupled with the monotone iterative technique is valid to obtain constructive proofs of existence of solutions for nonlinear periodic boundary value problems of functional differential equations without assuming properties of monotonicity in the nonlinear part. 相似文献
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Periodic boundary value problems for first order impulsive integro-differential equations of mixed type 总被引:1,自引:0,他引:1
This paper investigates the existence of minimal and maximal solutions of periodic boundary value problem for first order impulsive integro-differential equations of mixed type by establishing a comparison result and using the method of upper and lower solutions and the monotone iterative technique. 相似文献
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This paper investigates the existence of minimal and maximal solutions of the periodic boundary value problem for first-order impulsive differential equations by establishing two comparison results and using the method of upper and lower solutions and the monotone iterative technique. 相似文献
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George Seifert 《Proceedings of the American Mathematical Society》2002,130(7):2001-2005
We first establish a result giving conditions that certain undamped delay differential equations with almost periodic time dependence have unique almost periodic solutions. Using this result we obtain conditions that a second order scalar nonlinear delay differential equation with almost periodic forcing will have a unique almost periodic solution having saddle-type stability properties. These results use the method of averaging.
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Jean Mawhin 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》1987,38(2):257-265
The method of upper and lower solutions and convexity arguments are used to prove sharp results for the existence and multiplicity of periodic solutions for first order ordinary differential equations depending upon a parameter.Dedicated to Professor H. W. Knobloch for his sixtieth birthday 相似文献
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《Mathematical Methods in the Applied Sciences》2018,41(7):2769-2794
In this paper, we will establish the bounded solutions, periodic solutions, quasiperiodic solutions, almost periodic solutions, and almost automorphic solutions for linearly coupled complex cubic‐quintic Ginzburg‐Landau equations, under suitable conditions. The main difficulty is the nonlinear terms in the equations that are not Lipschitz‐continuity, traditional methods cannot deal with the difficulty in our problem. We overcome this difficulty by the Galerkin approach, energy estimate method, and refined inequality technique. 相似文献
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本文研究带Caratheodory函数的非线性Volterra型积分微分方程周期边值问题.对于下解α与上解β的两种情形:或,解的存在性和建立极解的单调迭代法均被讨论. 相似文献
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《Journal of Computational and Applied Mathematics》2001,132(2):341-356
We prove the existence of positive solutions of second-order nonlinear differential equations on a finite interval with periodic boundary conditions and give upper and lower bounds for these positive solutions. Obtained results yield positive periodic solutions of the equation on the whole real axis, provided that the coefficients are periodic. 相似文献
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该文利用上下解结合单调迭代方法研究了一阶时滞差分方程周期边值问题解的存在性,假设问题的上下解存在,得到两组保证边值问题的极大极小解存在的充分条件. 相似文献
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On monotone method for first and second order periodic boundary value problems and periodic solutions of functional differential equations 总被引:1,自引:0,他引:1
Daqing Jiang Juan J. Nieto Wenjie Zuo 《Journal of Mathematical Analysis and Applications》2004,289(2):691-699
In this paper, we show that the method of monotone iterative technique is valid to obtain two monotone sequences that converge uniformly to extremal solutions of first and second order periodic boundary value problems and periodic solutions of functional differential equations. We obtain some new results relative to the lower solution α and upper solution β with α?β. 相似文献