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Siberian Mathematical Journal - 相似文献
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一阶混合型积分微分方程的周期边值问题 总被引:1,自引:0,他引:1
在有一般化的上下解的条件下,研究了一阶混合型积分微分方程的周期边值问题的可解性和最小最大解的存在性。讨论基于迭合度方法,单调迭代方法和新的比较定理。 相似文献
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We obtain a priori bounds on difference quotients for some mixedboundary value problems associated with uniformly elliptic differenceequations over rectangular regions. These results are appliedto mildly quasi-linear and mildly non-linear problems to establishexistence and uniqueness criteria. Our estimates are usefulin the numerical computation of these solutions. 相似文献
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通过建立新的比较定理,利用上下解方法,单调迭代方法和不动点定理证明了一阶非线性混合型脉冲微分方程的周期边值问题的可解性及极值解的存在性。 相似文献
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p-Laplace方程混合边值问题正解的存在性 总被引:2,自引:0,他引:2
翟成波 《应用泛函分析学报》2003,5(2):170-173
运用锥上的不动点理论,讨论了p—Laplace方程混合边值问题正解的存在性。 相似文献
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Mixed Boundary Value Problems for a Class of Fractional Differential Equations with Impulses 下载免费PDF全文
We investigate a class of mixed boundary value problem of nonlinear impulsive fractional differential
equations with a parameter. The uniqueness of this problem is proved by applying Banach fixed point theorem. 相似文献
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某些带变换的边值问题和奇异积分方程 总被引:3,自引:0,他引:3
本文主要考虑某些带变换的奇异积分方程。尽管用经典的正则化方法可以求解,我们还是给出一种新的分区跳跃方法,使它们化为较简单的可以系统地求解并可迅即讨论的Fredholm积分方程。 相似文献
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Tadeusz Jankowski 《Applicable analysis》2013,92(2):341-356
In this paper, the method of quasilinearization has been extended to antiperiodic boundary value problems of nonlinear functional differential equations. It is shown that iterations converge to the unique solution and this convergence is semi-superlinear. 相似文献
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本文利用Leray-Schauder不动点定理证明了非线性波方程utt-[a0 a2(ux)^β]uxx-a1uxxtt=f(x,t,ux,ut,uxt)的初边值问题广义解的存在唯一性。 相似文献
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V. S. Belonosov 《Siberian Mathematical Journal》2005,46(5):783-795
We consider general boundary value problems with data on the boundary of a half-space for quasielliptic equations with constant coefficients. We find integral representations for solutions and study some properties of the kernels of the corresponding integral operators. The results are applied to proving some generalization of the Miranda-Agmon maximum principle. 相似文献
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We obtain some results on solvability of boundary value problems for the equation B
u
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u =f (t(0,)), where B and L are selfadjoint and dissipative operators defined in a Hilbert space E. The kernel of B may be nontrivial and L is uniformly dissipative on a subspace M of finite codimension. 相似文献
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该文利用复分析的方法对双曲区域实施共形映照,通过将双曲区域的边界曲线变换为直线段,研究了另一类更一般区域上的拟线性二阶混合型方程的不连续边值问题,得到了一些较新的可解性结果的推广. 相似文献
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This paper deals with the solvability of boundary value problems for singular integral equations of the form (i)-(ii).By an algebraic method we reduce the problem (i)-(ii) to a system of linear algebraic equations which gives all solutions in a closed form.AMS Subject Classification: 47G05, 45GO5, 45E05 相似文献