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1.
Sufficient conditions are found for the global solvability of the weighted Cauchy problem
where f : C([a, b]; R
n) L
loc([a, b]; R
n) is a singular Volterra operator, c
0
R
n, h : [a, b] [0, +] is a function continuous and positive on [a, b], and · is the norm in R
n. 相似文献
2.
考虑一类二阶非线性泛函微分方程,得到了方程的解的导数振动的一个充分条件,推广和改进了Lee和Yeh的相关结论. 相似文献
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The Monotone Iterative Technique and Periodic Boundary Value Problem for First Order Impulsive Functional Differential Equations 总被引:1,自引:0,他引:1
This paper uses the method of upper and lower solutions and the monotone iterative technique to investigate the existence
of maximal and minimal solutions of the periodic boundary value problem for first order impulsive functional differential
equations.
Received June 15, 1998, Revised April 29, 2000, Accepted July 18, 2000 相似文献
6.
Lszl Simon 《Mathematische Nachrichten》2000,217(1):175-186
In this paper, existence of weak solutions of second order evolution equations is proved and some properties of the solutions are shown. The results are applied to higher order nonlinear hyperbolic functional differential equations. 相似文献
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利用混合单调凝聚算子的耦合不动点定理,给出了二阶混合单调型脉冲微分方程的初值问题的解的存在唯一性及迭代逼近定理。 相似文献
9.
Classical theorems on differential inequalities [1, 2, 3] are generalized for initial value problems of the kind
and
where
is a singular Volterra operator,
is continuous and positive on ]a, b],
is a norm in R
n, and [u]+ and [u]– are respectively the positive and the negative part of the vector u R
n. 相似文献
10.
高阶泛函微分方程的振动性质* 总被引:11,自引:0,他引:11
本文借助于Lebesgue测度等工具研究了一类高阶非线性泛函微分方程的振动性质.文中指出.在一定条件下,方程的非振动解仅有两类,而且给出了每一类非振动解存在的必要条件,同时也建立了方程振动的若干充分判据. 相似文献
11.
研究了一类二阶非线性泛函微分方程非振动解的渐近性质及其分类.在一定条件下,建立了三个新的渐近性定理,推广和改进了已知的结果. 相似文献
12.
讨论了非线性分数阶微分方程的两点边值问题.其导数是Riemann-Liouville型分数阶导数,应用推广了的双锥不动点定理,证明其在L(0,1)中存在三重正解. 相似文献
13.
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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本文论讨了三个问题:①二阶非线性微分方程的初值问题;②运用非线性算子证明了非平凡解的存在性和唯一性;③给出了一个非负非平凡解的估计式. 相似文献
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研究一类具高阶Laplace算子的高阶脉冲非线性中立型偏泛函微分方程的强迫振动性,利用Green公式和微分不等式方法将所讨论的脉冲中立型偏微分方程转化为脉冲中立型微分不等式的问题,获得了这类方程在三类不同边值条件下所有解强迫振动的若干充分条件. 相似文献
19.
Oscillation Results for BVPs of Even Order
Nonlinear Neutral Partial Differential Equations 下载免费PDF全文
A class of boundary value problems (BVPs) of even order neutral
partial functional differential equations with continuous distribution delay and
nonlinear diffusion term are studied. By applying the integral average and
Riccati’s method, the high-dimensional oscillatory problems are changed into
the one-dimensional ones, and some new sufficient conditions are obtained
for oscillation of all solutions of such boundary value problems under first
boundary condition. The results generalize and improve some results of the
latest literature. 相似文献
20.
研究了一类较为广泛的二阶非线性泛函微分方程解的振动性质.在一定条件下,利用广义黎卡提变换、积分平均技巧和分类讨论的方法建立了两个新的振动准则,改进和推广了已知的一些结果. 相似文献