Results 31 to 40 of about 403,942 (166)
Finite-size effects on a lattice calculation [PDF]
, 2008 We study in this paper the finite-size effects of a non-periodic lattice on a lattice calculation. To this end we use a finite lattice equipped with a central difference derivative with homogeneous boundary conditions to calculate the bosonic mass ...
Aroca +13 more
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Anti-periodic boundary value problems with Riesz–Caputo derivative [PDF]
Advances in Difference Equations, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fulai Chen, Anping Chen, Xia Wu
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Nontrivial Solutions of a Fully Fourth-Order Periodic Boundary Value Problem
Journal of Applied Mathematics, 2014 We investigate the solvability of a fully fourth-order periodic boundary value problem of the form x(4)=f(t,x,x′,x′′,x′′′), x(i)(0)=x(i)(T), i=0,1,2,3, where f:[0,T]×R4→R satisfies Carathéodory conditions.
Haitong Li, Minghe Pei, Libo Wang
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A family of piecewise-smooth solutions of a class of spatially distributed equations
Современная математика: Фундаментальные направления, 2023 In this paper, we consider a spatially distributed equation with a periodic boundary condition and the zero integral mean condition in the spatial variable.
S. A. Kaschenko +2 more
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Combinatorial Bethe ansatz and ultradiscrete Riemann theta function with rational characteristics
, 2007 The U_q(\hat{sl}_2) vertex model at q=0 with periodic boundary condition is an integrable cellular automaton in one-dimension. By the combinatorial Bethe ansatz, the initial value problem is solved for arbitrary states in terms of an ultradiscrete ...
A. Kuniba +20 more
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Unbounded Periodic Solutions to Serrin’s Overdetermined Boundary Value Problem [PDF]
Archive for Rational Mechanics and Analysis, 2016 We study the existence of nontrivial unbounded domains $ $ in $\mathbb{R}^N$ such that the overdetermined problem $$ - u = 1 \quad \text{in $ $}, \qquad u=0, \quad \partial_ u=\textrm{const} \qquad \text{on $\partial $} $$ admits a solution $u$. By this, we complement Serrin's classification result from 1971 which yields that every bounded domain
Fall, Mouhamed Moustapha +2 more
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Elliptic solutions and solitary waves of a higher order KdV--BBM long wave equation [PDF]
, 2017 We provide conditions for existence of hyperbolic, unbounded periodic and elliptic solutions in terms of Weierstrass $\wp$ functions of both third and fifth-order KdV--BBM (Korteweg-de Vries--Benjamin, Bona \& Mahony) regularized long wave equation.
Abramowitz +35 more
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On a superlinear periodic boundary value problem with vanishing Green's function
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We prove the existence of positive solutions for the boundary value problem \[ \begin{cases} y^{\prime \prime }+a(t)y=\lambda g(t)f(y),\quad 0\leq t\leq 2\pi, \\ y(0)=y(2\pi ),\quad y^{\prime }(0)=y^{\prime }(2\pi ), \end{cases} \] where $\lambda $ is ...
Dang Dinh Hai
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Periodic Boundary Value Problems for Semilinear Fractional Differential Equations [PDF]
Mathematical Problems in Engineering, 2012 We study the periodic boundary value problem for semilinear fractional differential equations in an ordered Banach space. The method of upper and lower solutions is then extended. The results on the existence of minimal and maximal mild solutions are obtained by using the characteristics of positive operators semigroup and the monotone iterative scheme.
Mu, Jia, Li, Yongxiang
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New results for the Liebau phenomenon via fixed point index
, 2016 We prove new results regarding the existence of positive solutions for a nonlinear periodic boundary value problem related to the Liebau phenomenon. As a consequence we obtain new sufficient conditions for the existence of a pump in a simple model.
Cid, José Ángel +3 more
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