共查询到20条相似文献,搜索用时 15 毫秒
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Marian Kwapisz 《Applicable analysis》2013,92(1-4):169-182
Existence and uniqueness results for bvp problems for difference equations are discussed. The weighted norm technique and the Banach contraction mapping principle are employed 相似文献
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The existence of solutions of periodic boundary value problems for second order impulsive integro-differential equations of Volterra type is investigated. By using the method of upper and lower solutions, it is proved that the problem in whi h impulses occur at fixed times has a solution. Some impulsive integro-differential inequalities related to such problem are also established. 相似文献
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Yanli Shi 《Applicable analysis》2013,92(12):1421-1432
In this article, we are concerned with existence and uniqueness of solutions of four kinds of two-point boundary value problems for nth-order nonlinear differential equations by “Shooting” method, and studied existence and uniqueness of solutions of a kind of three-point boundary value problems for nth-order nonlinear differential equations by “Matching” method. 相似文献
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Rubn Figueroa Sestelo Rodrigo Lpez Pouso 《Nonlinear Analysis: Theory, Methods & Applications》2008,69(7):2142-2149
In this paper we prove a new existence result for functional boundary value problems with first-order functional differential equations under weak conditions on the nonlinear part and monotonicity (but not continuity) with respect to the functional variable. Discontinuities with respect to the unknown are allowed to occur over general classes of time-dependent sets which are assumed to satisfy a kind of unviability or solubility condition. 相似文献
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L. E. Bobisud 《Applicable analysis》2013,92(1-4):43-57
Existence of solutions to the two-point boundary value problem (p(t)y')' = q(t)f(t, y,p(t)y'), y(l) = 0, limt→0+ p(t)y'(t) = 0 is established under a variety of conditions. Here p(0) = 0 is allowed, and q is not assumed to be continuous at 0, so the problem may be doubly singular. In addition, the Dirichlet problem for this differential equation is investigated 相似文献
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一类Riemann-Hilbert边值逆问题 总被引:3,自引:0,他引:3
王明华 《纯粹数学与应用数学》2006,22(4):532-537
给出解析函数的一类R iem ann-H ilbert边值逆问题的数学提法,依据解析函数R iem ann-H ilbert边值问题的经典理论,讨论了此边值问题的可解性,给出了该边值问题的可解条件和解的表示式. 相似文献
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María Ana Domínguez-PérezRosana Rodríguez-López 《Nonlinear Analysis: Real World Applications》2012,13(4):1662-1675
We obtain the expression of the explicit solution to a class of multipoint boundary value problems of Neumann type for linear ordinary differential equations and apply these results to study sufficient conditions for the existence of solution to linear functional differential equations with multipoint boundary conditions, considering the particular cases of equations with delay and integro-differential equations. 相似文献
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An equivalence between a class of regular self-adjoint fourth-order boundary value problems with coupled or mixed boundary conditions and a certain class of matrix problems is investigated. Such an equivalence was previously known only in the second-order case and fourth-order case with separated boundary conditions. 相似文献
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Rehana Bari 《Journal of Mathematical Analysis and Applications》2004,292(1):17-22
For any integer m?2, we consider the 2mth order boundary value problem
(−1)mu(2m)(x)=λg(u(x))u(x),x∈(−1,1), 相似文献
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In this work a class of singular ordinary differential equations is considered. These problems arise from many engineering
and physics applications such as electro-hydrodynamics and some thermal explosions. Adomian decomposition method is applied
to solve these singular boundary value problems. The approximate solution is calculated in the form of series with easily
computable components. The method is tested for its efficiency by considering four examples and results are compared with
previous known results. Techniques that can be applied to obtain higher accuracy of the present method has also been discussed. 相似文献
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Shuxing Chen 《Frontiers of Mathematics in China》2007,2(1):87-102
This paper is devoted to initial boundary value problems for quasi-linear symmetric hyperbolic systems in a domain with characteristic
boundary. It extends the theory on linear symmetric hyperbolic systems established by Friedrichs to the nonlinear case. The
concept on regular characteristics and dissipative boundary conditions are given for quasilinear hyperbolic systems. Under
some assumptions, an existence theorem for such initial boundary value problems is obtained. The theorem can also be applied
to the Euler system of compressible flow.
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Translated from Chinese Annals of Mathematics, Ser. A, 1982, 3(2): 223–232 相似文献
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Kumar Vemaganti 《Numerical Methods for Partial Differential Equations》2007,23(3):587-596
This article considers the extension of well‐known discontinuous Galerkin (DG) finite element formulations to elliptic problems with periodic boundary conditions. Such problems routinely appear in a number of applications, particularly in homogenization of composite materials. We propose an approach in which the periodicity constraint is incorporated weakly in the variational formulation of the problem. Both H1 and L2 error estimates are presented. A numerical example confirming theoretical estimates is shown. © 2006 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2007 相似文献
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《Communications in Nonlinear Science & Numerical Simulation》2014,19(12):4057-4067
In this paper, we point out the differences between a class of fractional difference equations and the integer-order ones. We show that under the same boundary conditions, the problem of the fractional order is nonresonant, while the integer-order one is resonant. Then we analyse the discrete fractional boundary value problem in detail. Then the uniqueness and multiplicity of the solutions for the discrete fractional boundary value problem are obtained by two new tools established in 2012, respectively. 相似文献