Results 251 to 260 of about 404,061 (285)
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Periodic Riemann boundary value problem
Complex Variables and Elliptic Equations, 2022Xiaoyin Wang, Jinyuan Du
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Fractional Boundary Value Problems with Integral and Anti-periodic Boundary Conditions
Bulletin of the Malaysian Mathematical Sciences Society, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Periodic Boundary Value Problems: Second Order Systems
1997Here, we shall extend some of the results of the previous section to second order systems. For this, in addition to the notations used there, for the function x : T → ℝ n we shall need the central differences, which are defined as δ 2 x(k) = x(k + 1) − 2x(k) + x(k − 1), 1 ≤ k ≤ J − 1.
Ravi P. Agarwal, Patricia J. Y. Wong
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Existence results for nonlinear periodic boundary-value problems
Proceedings of the Edinburgh Mathematical Society, 2009AbstractWe study a class of second-order nonlinear differential equations on a finite interval with periodic boundary conditions. The nonlinearity in the equations can take negative values and may be unbounded from below. Criteria are established for the existence of non-trivial solutions, positive solutions and negative solutions of the problems under
John R. Graef, Lingju Kong
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Periodic boundary value problems of impulsive differential equations
Applicable Analysis, 1992Periodic boundary value problems of impulsive differential equations with continuous or discontinuous right hand side will be studied by comparis-ing theorems and operator theory. Both existence and bounds of solutions will be obtained.
A. S. Vatsala, Yong Sun
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The solvability of a boundary-value periodic problem
Ukrainian Mathematical Journal, 1997The authors study a periodic boundary value problem for the linear hyperbolic equation \[ \begin{aligned} u_{tt}-a^{2}u_{xx} &=g(x,t),(x,t)\in{\mathbb{R}}^{2},\tag{1}\\ u(0,t)&=u(\pi,t)=0,t\in{\mathbb{R}}, \tag{2}\\ u(x,t+T)&=u(x,t),(x,t)\in{\mathbb{R}}^{2}.
Khoma, G. P., Petrivs'kyj, Ya. B.
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Rational-Fourier-series Approximations for Periodic Boundary-value Problems
IMA Journal of Applied Mathematics, 1984The idea of using ratios of trigonometric polynomials to approximate periodic solutions of nonlinear ordinary differential equations is an interesting one. For this approach a Galerkin-type approximation scheme is used in the sense that the approximate differential equation is regarded as orthogonal to the basis functions.
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Discontinuous Galerkin methods for periodic boundary value problems
Numerical Methods for Partial Differential Equations, 2006AbstractThis 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.
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Two point boundary value and periodic eigenvalue problems
Proceedings of the 1999 IEEE International Symposium on Computer Aided Control System Design (Cat. No.99TH8404), 2003In this paper we link the discrete-time periodic eigenvalue problem with two point boundary value problems over the same interval. This gives a new formulation of periodic eigenvalue problems which also leads to a new and more economical scheme for computing periodic eigenvalues.
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