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空间中混合单调脉冲微分-积分方程解的存在性 总被引:1,自引:0,他引:1
利用两个新的比较结果,本文给出了Banach空间中混合单调脉冲微分-积分方程解,最小最大耦合解的存在性及单调迭代方法,改进和推广了[1-5]的相应结果. 相似文献
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Banach空间中混合单调脉冲微分-积分方程解的存在性 总被引:11,自引:1,他引:10
本文给出了Banach空间中混合单调脉冲微分-积分方程解、耦合最小最大解的存在性定理及单调迭代方法,改进和推广了[1]-[4]的相应结果. 相似文献
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Alberto CabadaVictoria Otero-Espinar 《Journal of Mathematical Analysis and Applications》2002,267(2):501-521
This paper is devoted to the study of the existence and comparison results for nonlinear difference φ-Laplacian problems with mixed, Dirichlet, Neumann, and periodic boundary value conditions. We deduce existence of extremal solutions of periodic and Neumann boundary value problems lying between a pair of lower and upper solutions given in reverse order. We prove the optimality of some assumptions in φ. 相似文献
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1 Introduction and Main ResultInitial and periodic boundary value problems for the following first orderdifferential equationwhere f e C[[0, T] x R, R], have been studied for long by means of the monotone iterative technique (see, e.g. [1,2]). Recently, they have been investigatedagain by employing the method of generalized quasilinearization, a monotoneiterative technique (see [3-5]). However, more general two-point boundary value problems for a first order differential equation have not be… 相似文献
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In this article, sufficient conditions for the existence of extremal solutions to nonlinear boundary value problem (BVP) of fractional order differential equations (FDEs) are provided. By using the method of monotone iterative technique together with upper and lower solutions, conditions for the existence and approximation of minimal and maximal solutions to the BVP under consideration are constructed. Some adequate results for different kinds of Ulam stability are investigated. Maximum error estimates for the corresponding solutions are given as well. Two examples are provided to illustrate the results. 相似文献
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研究下列具有p-Laplacian算子的四阶三点边值问题{(φp(u″(t)))″=f(t,u(t),u″(t)),t∈[0,1] u(0)-ξu(1)=0,u′(1)-ηu′(0)=0 u″(0)-a1u″(δ)=0,(φp(u″))′(1)-b1(φp(u″))′(δ)=0其中φp(s)=|s|p-2s,p>1,0<ξ,η<1,0相似文献
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ZHANG Shuqin Department of Mathematics China University of Mining Technology Beijing 《中国科学A辑(英文版)》2006,49(9):1223-1230
Using the method of upper and lower solutions and its associated monotone iterative, consider the existence and uniqueness of solution of an initial value problem for the nonlinear fractional diffusion equation. 相似文献
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陈芳启 《应用数学学报(英文版)》2001,17(3):289-295
1. IntroductionIn paPer l1], Guo Da jun established the eristence of extreme solutions of initnd Vaueproblems fOr first order illtegrodmerelltial eqllations of VOlterra type in Banach spaces.Now, in this paPer, we consider the IVP for second order illtegrodifferelltial equatinns onthe infinite iliterVa R in BanaCh space E:U" = F(t, u,u', Tu), Vt E R , u(0) = xo, u'(0) = x1) (1)where xo,x1 E E,F E C(R x E x E x E,E), and(Tx)(t) = l'k(,,.).(.)d., Vt E R , (2)jok E C(fl, R ), fl… 相似文献
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本文讨论具有脉冲积分条件的脉冲积分-微分方程混合类型的极值解的存在性.主要工具是上下解和单调迭代技术. 相似文献
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通过上下解和单调迭代技术讨论了二阶脉冲泛函微分方程非线性边值问题极值解的存在性,推广了相关文献的结果. 相似文献
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It is shown that the Euler–Maruyama scheme applied to a stochastic differential equation with a discontinuous monotone drift coefficient, such as a Heaviside function, and additive noise converges strongly to a solution of the stochastic differential equation with the same initial condition. The proof uses upper and lower solutions of the stochastic differential equations and the Euler–Maruyama scheme. AMS subject classification (2000) 60H10, 60H20, 60H30 相似文献
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The authors employ the method of upper and lower solutions coupled with the monotone iterative technique to obtain some results on the existence and uniqueness of the solution for anti-periodic boundary value problem of delay differential equations. 相似文献
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研究一类时滞与脉冲共存的微分方程三点边值问题,利用上下解与单调迭代方法获得了边值问题解的存在性定理和唯一性定理,给出求解该类问题解析近似解的迭代方法,得出了新的结论. 相似文献
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陆海霞 《纯粹数学与应用数学》2013,(2):125-131
利用拟上下解方法和混合单调迭代法,研究了Banach空间中含间断项的非线性Sturm-liouville问题解的存在唯一性,并给出逼近解迭代序列的误差估计. 相似文献
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Guotao Wang;Jianfang Qin;Lihong Zhang;D. Baleanu; 《Mathematical Methods in the Applied Sciences》2024,47(13):10731-10741
In this paper, we study the extremal solutions of nonlinear fractional p-Laplacian differential system with the fractional conformable derivative by applying monotone iterative method and a half-pair of upper and lower solutions. For the smooth running of our work, we develop a comparison principle about linear system, which play a very crucial role in this article. At last, an illustrative example is given for the main result. 相似文献