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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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Half-Periodic Riemann Boundary Value Problem
Advances in Applied Mathematics, 2018openaire +1 more source
Nonlinear Analysis: Theory, Methods & Applications, 2011
Guotao Wang, Bashir Ahmad, Lihong Zhang
exaly
Guotao Wang, Bashir Ahmad, Lihong Zhang
exaly
Periodic boundary value problem for the second order impulsive functional differential equations
Applied Mathematics and Computation, 2004Maoan Han
exaly

