共查询到20条相似文献,搜索用时 31 毫秒
1.
We study some semilinear elliptic equations with singular coefficients which relate to some Hardy–Sobolev inequalities. We obtain some existence results for these equations and give a theorem for prescribing the Palais–Smale sequence for these equations. Moreover, we find some interesting connections between these equations and some semilinear elliptic equations in hyperbolic space. Using these connections, we obtain many new results for these equations. 相似文献
2.
Anouar Houmia 《Comptes Rendus Mathematique》2014,352(2):113-116
The elliptic equations with deviated arguments appear in some models of population such as in biology, etc. as indicated in the books [4] and [5] and the works of Levin [3], Skellam [6]. In this paper, we establish some results of existence and uniqueness for some non-local equations called elliptic equations with deviated argument. Firstly, we handle linear and nonlinear cases. Therefore, we hope to complete some results obtained by Chipot and Mardare [2]. 相似文献
3.
In this paper, we obtain some new existence results of solutions of impulsive differential equations with periodic boundary conditions. The main tool that we use is critical point theory. Our results generalize some existing results on periodic solutions for second order ordinary differential equations even when the impulses are absent. 相似文献
4.
Hideaki Matsunaga Satoru Murakami 《Journal of Mathematical Analysis and Applications》2005,305(2):391-410
For linear functional difference equations, we obtain some results on the asymptotic behavior of solutions, which correspond to a Perron-type theorem for linear ordinary difference equations. We also apply our results to Volterra difference equations with infinite delay. 相似文献
5.
In this article, we study the existence of solutions for nonlinear implicit differential equations associated to a time-dependent pseudomonotone (respectively, quasimonotone) operator by using a new approach based on the theory of equilibrium \hboxproblems. More precisely, we first establish some existence results of solutions for mixed equilibrium problems where the \hboxbifunctions are, respectively, maximal monotone and \hboxpseudomonotone (quasimonotone) in the topological sense. Then, we write the nonlinear implicit differential equations in the form of a mixed equilibrium problem. By using the existence results for mixed equilibrium problems, we establish the existence of solutions of nonlinear implicit differential equations. This new approach provides some new and nice results which improve and unify most of the recent results obtained in this direction. 相似文献
6.
In this paper, we generalize some integral inequalities to more general situations, and the inequalities of Pachpatte type are corollaries of our's. We establish bounds on the solutions, and we show the usefulness of our results in investigating the asymptotic behavior and the stability on the solutions of integral equations, differential equations and integro-differential equations with time delay. 相似文献
7.
In this note, we establish some local and global existence results for the Cauchy problem of a class of nonlinear dispersive equations which generalize the nonlinear Schrödinger equations and the Davey–Stewartson equations. These results improve some previously obtained results by some other authors when they are restricted to certain special equations. 相似文献
8.
YANG Jia-shan 《数学季刊》2014,(3):447-456
This paper is concerned with the oscillatory behavior of a class of third-order noonlinear variable delay neutral functional dynamic equations on time scale. By using the generalized Riccati transformation and inequality technique, we establish some new oscilla- tion criteria for the equations. Our results extend and improve some known results, but also unify the oscillation of third-order nonlinear variable delay functional differential equations and functional difference equations with a nonlinear neutral term. Some examples are given to illustrate the importance of our results. 相似文献
9.
利用亚纯函数的Nevanlinna值分布理论, 我们主要研究了一类复微分-差分方程和一类复微分-差分方程组的有限级超越整函数解的存在形式, 得到两个有趣的结论. 将复微分(差分)方程的一些结论推广到复微分-差分方程(组)中. 相似文献
10.
In this paper, we generalize some integral inequalities to more general situations. We establish bounds on the solutions and, by means of examples, we show the usefulness of our results in investigating the global existence of the solutions of integral equations and differential equations. 相似文献
11.
12.
高凌云 《数学物理学报(B辑英文版)》2012,32(2):800-806
In this article,we mainly investigate the growth and existence of meromorphic solutions of a type of systems of composite functional equations,and obtain some interesting results.It extends some result... 相似文献
13.
Lingyun GAO 《数学物理学报(B辑英文版)》2017,37(1):187-194
In this paper, we will mainly investigate entire solutions with finite order of two types of systems of differential-difference equations, and obtain some interesting results. It extends some results concerning complex differential (difference) equations to the systems of differential-difference equations. 相似文献
14.
Interpolation of nonlinear partial differential operators and generation of differentiale evolutions
Eric Schechter 《Journal of Differential Equations》1982,46(1):78-102
By interpolating between Sobolev spaces we find that many partial differential operators become continuous when restricted to a sufficiently small domain. Hence some techniques from the theory of ordinary differential equations can be applied to some p.d.e.'s. Using these ideas, we study a class of nonlinear evolutions in a Banach space. We obtain some very simple existence and continuous dependence results. The theory is applicable to reaction-diffusion equations, dispersion equations, and hyperbolic equations before shocks develop. 相似文献
15.
16.
Peng Lu Lei Ni Juan-Luis Vázquez Cédric Villani 《Journal de Mathématiques Pures et Appliquées》2009,91(1):1-19
In this work we derive local gradient and Laplacian estimates of the Aronson–Bénilan and Li–Yau type for positive solutions of porous medium equations posed on Riemannian manifolds with a lower Ricci curvature bound. We also prove similar results for some fast diffusion equations. Inspired by Perelman's work we discover some new entropy formulae for these equations. 相似文献
17.
苟海德 《数学物理学报(A辑)》2020,(2):408-421
该文讨论了Banach空间中具有阻尼弹性系统L-拟mild解的存在性.这些结果改进和推广了一些相关的结论在常微分方程和偏微分方程方面.在非线性项满足单调条件和非紧性测度条件下,获得了该问题极大mild解的存在性.另外,给出例子说明该结果的可行性. 相似文献
18.
Wing-Sum Cheung 《Journal of Difference Equations and Applications》2013,19(2):213-223
In this paper, we establish some new discrete Gronwall–Bellman–Ou-Iang type inequalities over 2-dimensional lattices. These, on one hand, generalize some existing results in the literature and on the other hand, provide a handy tool for the study of qualitative properties of solutions of difference equations. We illustrate this by applying these new results to certain boundary value problem for difference equations. 相似文献
19.
Kazuyuki Matsui Hideaki Matsunaga Satoru Murakami 《Nonlinear Analysis: Theory, Methods & Applications》2008
For functional differential equations in a Banach space, we obtain some results on the asymptotic behavior of solutions, which correspond to Perron type theorems for differential equations without delay or with finite delay. 相似文献
20.
Rubén Figueroa Rodrigo López Pouso 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(18):6876-6889
We establish a coupled fixed point theorem for a meaningful class of mixed monotone multivalued operators, and then we use it to derive some results on the existence of quasisolutions and unique solutions to first-order functional differential equations with state-dependent deviating arguments. Our results are very general and can be applied to functional equations featuring discontinuities with respect to all of their arguments, but we emphasize that they are new even for differential equations with continuously state-dependent delays. 相似文献