共查询到20条相似文献,搜索用时 125 毫秒
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通过构造Lyapunov函数研究了一类非自治的数学生物经济模型的概周期解的存在性,得到了保证概周期解存在的充分性判椐. 相似文献
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一类非线性微分方程的概周期解 总被引:1,自引:0,他引:1
运用Leray-Schauder不动点定理和Liapunov函数方法,研究了一类非线性微分方程的概周期解,得到了该微分方程概周期解存在的充分条件. 相似文献
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利用差分方程的渐近概周期序列解,讨论了一类具有逐段常变量微分方程的渐近概周期解的存在性. 相似文献
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含参数泛函微分方程概周期正解的存在性 总被引:1,自引:0,他引:1
研究了一类含参数泛函微分方程概周期正解的存在性问题.结合有界性及渐近概周期性获得了系统存在概周期正解的几组充分条件,并将结果应用于几类种群动力学模型,分别获得了系统在概周期环境下存在概周期解的一组充分条件. 相似文献
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运用锥上的不动点定理,研究一类脉冲时滞微分方程的概周期解,得到了保证系统存在概周期解的一组充分条件。 相似文献
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运用二分性及压缩映射原理,研究一类时滞三阶微分方程概周期解的存在性,得到此类微分方程的概周期解存在的充分性定理. 相似文献
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Hui-Sheng Ding Yuan-Yuan Chen Gaston M. N’Guérékata 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(18):7356-7364
In this work, a new fixed point theorem in partially ordered Banach spaces is established, and then used to prove the existence of positive pseudo almost periodic solutions to a class of neutral integral equations. Our existence theorem extends some recent results due to [E. Ait Dads, P. Cieutat, L. Lhachimi, Positive pseudo almost periodic solutions for some nonlinear infinite delay integral equations, Mathematical and Computer Modelling 49 (2009) 721–739] to a more general class of integral equations. 相似文献
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This paper is devoted to the study of properties of the kernel and the cokernel of singular integral operators with almost periodic coefficients and a Carleman shift. In particular, the dimensions of their kernels and cokernels are obtained. This is done by considering appropriate properties of the related almost periodic elements and, in special, the partial indices of some of their relevant factorizations. 相似文献
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本文利用混合单调算子中的迭代技巧,研究了一类中立型积分方程正的概周期解的存在性,以前相关结果得以推广. 相似文献
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Liuwei Zhang Yuantong Xu 《Annals of Differential Equations》2011,(2):253-257
This paper studies the existence of almost periodic type solutions to the nonlinear infinite delay integral equation. By means of the fixed theorem on a suitable space with Hilbert’s projective metric, we establish some sufficient conditions for the existence of positive weighted pseudo-almost periodic solutions to the equation. 相似文献
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《Nonlinear Analysis: Theory, Methods & Applications》2005,60(4):669-684
This paper presents the conditions of existence of positive almost periodic type solutions for some neutral nonlinear integral equation, by using a fixed point theorem in the cone. Some known results are extended. 相似文献
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This paper is devoted to the study of quasi-periodic properties of fractional order integrals and derivatives of periodic functions. Considering Riemann–Liouville and Caputo definitions, we discuss when the fractional derivative and when the fractional integral of a certain class of periodic functions satisfies particular properties. We study concepts close to the well known idea of periodic function, such as S-asymptotically periodic, asymptotically periodic or almost periodic function. Boundedness of fractional derivative and fractional integral of a periodic function is also studied. 相似文献
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In this paper, we discuss the existence of positive almost periodic solution for some nonlinear delay integral equation, by constructing a new fixed point theorem in the cone. Some known results are extended. 相似文献