共查询到20条相似文献,搜索用时 250 毫秒
1.
杨必成 《应用泛函分析学报》2012,(2):120-124
应用权函数及参量化的方法,建立了一对新的Hilbert型积分不等式,它是Hilbert积分不等式的一个分解.还考虑了其等价式,引入参数的最佳推广式及逆式.作为应用,求出了Hilbert积分算子的一个范数分解式. 相似文献
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通过减弱连续的条件,推广了一类积分型中值定理,在适当的条件下,用一个式子将Lagrange中值定理、Cauchy微分中值定理、积分型Cauchy中值定理、积分中值定理、积分第一中值定理、Lagrange型积分中值定理、Cauchy型积分中值定理及推广的积分第一中值定理这8个中值定理统一起来. 相似文献
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全文分四部分概述了积分概念的发展历史,此为第四部分,主要介绍讲述积分概念在黎曼以后的发展,简单说明勒贝格积分出现的背景及其意义,并在一个附录里仔细介绍伏尔特拉的例子。 相似文献
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该文定义了一个再生核空间W_2~2(*),在其中讨论了积分-微分方程解的存在唯一性,给出了积分-微分方程一个定解问题的精确解的表达式及由精确解得出近似解的性质. 相似文献
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本文讨论了积分小波变换的快速算法,通过尺度函数与小波间的二尺度关系,导出了一个实现积分小波变换的快速计算方法及相应滤波器的构造方法。 相似文献
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《数学的实践与认识》2020,(4)
主要研究阶数等于0.5的Riemann-Liouville (RL)分数阶积分的几何意义.通过变量替换,证明了0.5阶RL积分等价于沿着圆弧的曲线积分.对于同一个积分,如果沿着曲线观察,此积分是曲线积分;如果沿着坐标轴观察,此积分是分数阶积分.此结论说明,分数阶微积分提供了一种观察客观世界的新角度.另外,应用分数阶理论求解了一个关于转动惯量的问题,此实例说明分数阶现象是广泛存在的. 相似文献
9.
张玫玉 《数学的实践与认识》2005,35(4):238-242
利用H.Amann的一个不动点定理及锥拉伸锥压缩不动点定理讨论了一类Hammerstein型积分方程的正解,得到了一个五解定理. 相似文献
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The main purpose of this paper is to present the existence results of solutions and positive solutions of nonlinear high-order fractional boundary value problems with integral boundary condition. By using the Banach fixed point theorem and the Krasnosel’skii fixed point theorem, we obtain the existence and uniqueness of real solution. By the Guo–Krasnosel’skii fixed point theorem on the cone, we obtain a desired result for guaranteeing the existence of positive solution. Several interesting examples relevant to the main results are also considered. 相似文献
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Existence of positive solutions for fourth‐order impulsive integral boundary value problems on time scales 下载免费PDF全文
Fatma Tokmak Fen Ilkay Yaslan Karaca 《Mathematical Methods in the Applied Sciences》2017,40(16):5727-5741
This paper is devoted to the existence of positive solutions for a fourth‐order impulsive boundary value problem with integral boundary conditions on time scales. Existence results of at least two and three positive solutions are established via the double fixed point theorem and six functionals fixed point theorem, respectively. Also, an example is given to illustrate the theoretical results. Copyright © 2017 John Wiley & Sons, Ltd. 相似文献
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In this paper we investigate a system of impulsive integral boundary value problems with sign-changing nonlinearities. Using the fixed point theorem in double cones, we prove the existence of multiple positive solutions. 相似文献
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In this paper, we consider the existence of positive solutions for a class of nonlinear boundary-value problem of fractional differential equations with integral boundary conditions. Our analysis relies on known Guo–Krasnoselskii fixed point theorem. 相似文献
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In this paper, we study the third-order triple-point nonlinear boundary value problems with sign changing nonlinearities by employing Krasnoselkii-Guo fixed point theorem and Avery-Henderson fixed point theorem,and establish results on the existence of at least one or two positive solutions to the boundary value problems. 相似文献
16.
Yuji Liu 《Applicable analysis》2013,92(1):72-95
By applying the monotone iterative methods, we obtain the existence of monotone positive solutions for integral boundary value problems of differential equations on the half line, and establish the iterative schemes for approximating the solutions. Our approach is based on the fixed point theorem and the monotone iterative technique. The existence of lower and upper solutions is not needed. 相似文献
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Tadeusz Jankowski 《Nonlinear Analysis: Theory, Methods & Applications》2010,73(5):1289-411
In this paper we investigate integral boundary value problems for fourth order differential equations with deviating arguments. We discuss our problem both for advanced or delayed arguments. We establish sufficient conditions under which such problems have positive solutions. To obtain the existence of multiple (at least three) positive solutions, we use a fixed point theorem due to Avery and Peterson. An example is also included to illustrate that corresponding assumptions are satisfied. The results are new. 相似文献
18.
Bashir Ahmad Sotiris K. Ntouyas Ahmed Alsaedi 《Journal of Applied Mathematics and Computing》2017,53(1-2):129-145
In this paper, we establish sufficient conditions for the existence and uniqueness of solutions for a boundary value problem of fractional differential equations with nonlocal and average type integral boundary conditions. The Leray–Schauder nonlinear alternative, Krasnoselskii’s fixed point theorem and Banach’s fixed point theorem together with Hölder inequality are applied to construct proofs for the main results. Examples illustrating the obtained results are also presented. 相似文献
19.
Erbil Cetin 《Journal of Mathematical Analysis and Applications》2007,334(2):876-888
In this paper we study the existence of solutions for Lidstone boundary value problems on time scale. Firstly, by using Schauder fixed point theorem in a cone, we obtain the existence of solutions to a Lidstone boundary value problem (LBVP). Secondly, existence result for this problem is also given by the monotone method. Finally, by using Krasnosel'skii fixed point theorem, it is proved that the LBVP has a positive solution. 相似文献
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In this paper, we consider the existence of positive solutions for a high-order semipositone fractional differential equation with Riemann-Stieltjes integral boundary conditions. By Krasnoselskii-Zabreiko fixed point theorem and some inequalities associated with Green’s function, two new existence theorems are obtained in the case that the nonlinearity f is allowed to grow both superlinearly and sublinearly. Finally, two examples are given to illustrate the main results. 相似文献