带脉冲的有序分数阶微分方程边值问题解的存在性（英文）

本文研究带脉冲的有序分数阶微分方程边值问题解的存在性的问题.利用Banach压缩映像原理和Krasnoselskii不动点定理的方法,获得带脉冲的有序分数阶微分方程边值问题解的存在性结果,推广了有序分数阶微分方程带脉冲边值条件的一些结果.     

Banach空间中N阶脉冲积分-微分方程边值问题的解

运用Monch不动点定理，获得了Banach空间中一类N阶非线性混合型脉冲积分-微分方程边值问题解的存在性．最后给出一个三阶无穷脉冲积分-微分方程边值问题的例子来说明文中所给的条件是合理的．     

Banach空间一类奇异脉冲微分方程边值问题的正解

讨论了Banach空间中一类具有奇异性脉冲微分方程的边值问题,利用M(o|¨)nch不动点定理,在与相应的线性算子谱半径有关的条件下,获得了该边值问题正解的存在性.     

分数阶分段脉冲微分方程边值问题解的存在性

本文研究了一类具有分段脉冲的分数阶微分方程边值问题.根据分段脉冲条件和边界条件的特点,建立了边值问题解的存在性定理,并运用非线性抉择和Krasnoselskii’s不动点定理证明了所得结论的正确性.     

多基点分数阶微分方程脉冲边值问题解的存在性

该文研究了α(∈(1,2))阶非线性多基点分数微分方程脉冲边值问题解的存在性,利用不动点定理在较弱条件下得到了解的存在性定理,并通过三个实例验证了解的存在性.     

一次脉冲周期边值问题解的存在及收敛性

带有周期边值条件的脉冲泛函微分方程经常会出现在物理学等问题的研究中.本文用单调迭代技术和拟线性方法来探讨一类脉冲泛函微分方程周期边值问题解的存在性及收敛性.研究表明,方程上下解的单调序列快速收敛于方程的唯一解.     

二阶脉冲微分方程三点边值问题解的存在性

建立了二阶脉冲微分方程三点边值问题的比较定理,利用单调迭代方法讨论了二阶脉冲微分方程三点边值问题解的存在性.     

分数阶脉冲积微分方程边值问题的多重正解

研究一类分数阶脉冲积微分方程边值问题的多重正解,其中阶数α∈(0,1],利用不动点定理得到了解存在的几个条件.     

一阶脉冲时滞积分微分方程边值问题

本文研究了一类一阶脉冲时滞积分微分方程边值问题解的性质. 利用迭代分析方法, 得到了该类边值问题解的存在性、唯一性和平凡解一致稳定的充分条件, 推广了已有积分微分方程周期边值问题解的结论.     

一阶脉冲时滞积分微分方程边值问题

本文研究了一类一阶脉冲时滞积分微分方程边值问题解的性质.利用迭代分析方法,得到了该类边值问题解的存在性、唯一性和平凡解一致稳定的充分条件,推广了已有积分微分方程周期边值问题解的结论.     

Strong solutions of periodic parabolic problems with discontinuous nonlinearities

We study the problem of finding time-periodic solutions of a parabolic equation with the homogeneous Dirichlet boundary condition and with a discontinuous nonlinearity. We assume that the nonlinearity is equal to the difference of two superpositionally measurable functions nondecreasing with respect to the state variable. For such a problem, we prove the principle of lower and upper solutions for the existence of strong solutions without additional constraints on the “jumping-up” discontinuities in the nonlinearity. We obtain existence theorems for strong solutions of this class of problems, including theorems on the existence of two nontrivial solutions.     

Multiple Solutions of Nonlinear Impulsive Differential Equations with Dirichlet Boundary Conditions via Variational Method

In this paper, we consider the existence of multiple solutions for second-order nonlinear impulsive differential equations with Dirichlet boundary condition. We obtain some existence theorems of solutions for the nonlinear problem when the impulsive functions satisfies the superlinear growth conditions by critical point theory. We extend and improve some recent results.     

Existence of solutions for a damped nonlinear impulsive problem with Dirichlet boundary conditions

In this paper, we consider the existence of solutions for second‐order nonlinear damped impulsive differential equations with Dirichlet boundary condition. By critical point theory, we obtain some existence theorems of solutions for the nonlinear problem. We extend and improve some recent results. Copyright © 2013 John Wiley & Sons, Ltd.     

Global Solvability of Dirichlet Problem for Fully Nonlinear Elliptic Systems

We show existence theorems of global strong solutions of Dirichlet problem for second-order fully nonlinear systems that satisfy the Campanato's condition of ellipticity. We use the Campanato's near operators theory.     

Fixed Point Theorems in Partially Ordered Metric Spaces and Existence Results for Integral Equations

We derive some new coincidence and common fixed point theorems for self-mappings satisfying a generalized contractive condition in partially ordered metric spaces. As applications of the presented theorems, we obtain fixed point results for generalized contraction of integral type and we prove an existence theorem for solutions of a system of integral equations.     

Periodic solutions for semi-linear evolution inclusions

In this paper, we study the periodic problem for semi-linear evolution inclusion. Using techniques from multivalued analysis and fixed point theorems, we establish existence theorems under the one-sided Lipschitz condition. First we prove existence theorems for nonconvex and convex problem. Second, we look for extremal periodic solutions and prove the relaxation theorem.     

Solvability of a boundary-value problem with an integral boundary condition of the second kind for equations of odd order

We study the solvability of a boundary-value problem for equations of odd order subject to a boundary condition relating the values of the conormal derivative with those of an integral operator applied to the solution. We prove the existence and uniqueness theorems for regular solutions.     

A positive solution for some critical p-Laplacian systems

This paper deals with the existence of a positive solution for two classes of critical quasilinear system. We prove these results by a variant of mountain pass lemma, combining two convergence theorems and two estimate results. Here we avoid the usual compactness arguments(e.g., Palais–Smale condition or Cerami condition) and reveal the potential of some energy level estimates for the existence of nontrivial solutions.     

Periodic solutions of a quasilinear wave equation

We study the properties of wave operators satisfying the periodicity condition with respect to time and homogeneous boundary conditions of the third kind and of Dirichlet type. We prove the existence of a nontrivial periodic (in time) sine-Gordon solution with homogeneous boundary conditions of the third kind and of Dirichlet type. We obtain theorems on the existence of periodic solutions of a quasilinear wave equation with variable (in x) coefficients and a boundary condition of the third kind.     

Periodic solutions of the wave equation with nonconstant coefficients and with homogeneous Dirichlet and Neumann boundary conditions

We prove theorems on the existence and regularization of periodic solutions of the wave equation with variable coefficients on an interval with homogeneous Dirichlet and Neumann boundary conditions. The nonlinear term has a power-law growth or satisfies the nonresonance condition at infinity.