Results 241 to 250 of about 404,835 (279)

Quasilinear periodic boundary-value problem

Ukrainian Mathematical Journal, 1997
This paper deals with a nonlinear periodic boundary-value problem of the following form \[ u_{tt} - u_{xx} = F[u,u_{t},u_{x}], \tag{1} \] \[ u(0,t) = u( \pi , t)=0, \tag{2} \] \[ u(x, t+T) = u(x,t), (x,t) \in {\mathbb{R}}^{2}, \tag{3} \] where \( F[u,u_{t},u_{x}] \) is a nonlinear operator mapping a smooth function into continuous scalar one.
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DOUBLY QUASIPERIODIC RIEMANN BOUNDARY VALUE PROBLEMS

Acta Mathematica Scientia, 1981
The doubly quasi-periodic boundary value problem \[ \Phi^+(t)=G^- (t)\Phi^-(t)+g(t),\quad t\in L, \] is considered, where L is a smooth contour lying in the fundamental parallelogram of periodicity, G(t), g(t) are given functions \(\in H\) on L and \(\Phi\) (z) is the unknown doubly quasi-periodic sectionally holomorphic function with the property ...
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Splines and anti-periodic boundary-value problems

International Journal of Computer Mathematics, 2007
Aftabizadeh, Pavel and Huang showed in 1994 that some second-order differential equations on (0, π) with anti-periodic conditions y(0)+y(π)=0, y'(0)+y'(π)=0 have a unique solution. In the present paper, the authors consider a differential equation g(t, x(t), x'(t), x''(t))=0 on (a, b) (t∈[a, b] and g continuous) having a solution satisfying the anti ...
M. Ahmadinia, G. B. Loghamni
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Iterative Schemes for Periodic Boundary-Value Problems with Switchings

Journal of Mathematical Sciences
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Benner, P. ; https://orcid.org/0000-0003-3362-4103, Chuiko, S., Zuyev, A.   +2 more
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Concurrent finite element analysis of periodic boundary value problems

Computer Methods in Applied Mechanics and Engineering, 2003
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Kristensson, O., Sørensen, N. J., Andersen, B. S.   +2 more
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Periodic Boundary Value Problems: First Order Systems

1997
Here, we shall develop monotone iterative methods for the construction of quasi-solutions of first order discrete systems satisfying periodic boundary conditions. For this, necessary comparison results are established, some of which are of negative nature.
Ravi P. Agarwal, Patricia J. Y. Wong
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Periodic Riemann boundary value problem

Complex Variables and Elliptic Equations, 2022
Xiaoyin 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, 2015
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Periodic Boundary Value Problems: Second Order Systems

1997
Here, 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, 2009
AbstractWe 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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