Results 31 to 40 of about 671,343 (306)
Solvability of a fourth order boundary value problem with periodic boundary conditions
International Journal of Mathematics and Mathematical Sciences, 1988 Fourth order boundary value problems arise in the study of the equilibrium of an elastaic beam under an external load. The author earlier investigated the existence and uniqueness of the solutions of the nonlinear analogues of fourth order boundary value
Chaitan P. Gupta
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Perturbations of periodic boundary conditions
SIAM Journal on Mathematical Analysis, 1982 We consider perturbations of the problem (*) \(-x''+bx=\lambda ax,x(0)- x(1)=0, x'(0)-x'(1)=0\) both by changes of the boundary conditions and by addition of nonlinear terms. We assume that at \(\lambda =\lambda_ 0\) there are two linearly independent solutions of (*) and that a is bounded away from zero. When only the boundary conditions are perturbed
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Asymptotic Expansion for a Periodic Boundary Condition
Journal of Differential Equations, 1995 The authors introduce an approximation to flow problems in porous media when the boundary of the flow domain is partially covered by fluid. If the domain is \(\Omega= (0, \pi)\times (0, \pi)\) with a typical point \((x, y)\), they write \(\alpha\) and \(\gamma\) for the subsets of \(\partial\Omega\) on which \(y= 0\) and \(y= \pi\), respectively, and \(
Filo, J., Luckhaus, S.
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Solvability of a fourth-order boundary value problem with periodic boundary conditions II
International Journal of Mathematics and Mathematical Sciences, 1991 Let f:[0,1]×R4→R be a function satisfying Caratheodory's conditions and e(x)∈L1[0,1]. This paper is concerned with the solvability of the fourth-order fully quasilinear boundary value problem d4udx4+f(x,u(x),u′(x),u″(x),u‴(x))=e(x ...
Chaitan P. Gupta
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Inventions, 2023 The periodic nature of stream-wise flow occurs in a cooling channel so frequently due to the multiple heat sources in electronic equipment, demanding the creation of an effective technique to improve the heat-cooling convection.
Tswen-Chyuan Jue +3 more
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Polarizable Embedding with Periodic Boundary Conditions
, 2023 We introduce periodic boundary conditions (PBCs) for the induced electrostatics in the polarizable embedding (PE) model through the minimum-image convention (MIC). It is a simple yet effective approach that includes a more physically accurate description of the polarization throughout the molecular system.
Sonata Kvedaravičiūtė +3 more
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Boundary Value Problems, 2018 In this paper, we consider a class of fractional Langevin equations with integral and anti-periodic boundary conditions. By using some fixed point theorems and the Leray–Schauder degree theory, several new existence results of solutions are obtained.
Zongfu Zhou, Yanyou Qiao
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FEBS Letters, EarlyView.This perspective highlights emerging insights into how the circadian transcription factor CLOCK:BMAL1 regulates chromatin architecture, cooperates with other transcription factors, and coordinates enhancer dynamics. We propose an updated framework for how circadian transcription factors operate within dynamic and multifactorial chromatin landscapes ...
Xinyu Y. Nie, Jerome S. Menet
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Viscosity in molecular dynamics with periodic boundary conditions [PDF]
Physical Review E, 2003 30 pages, 32 figures, accepted in August 2003 (Phys.Rev. E)
Viscardy, Sébastien, Gaspard, Pierre
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Disordered but rhythmic—the role of intrinsic protein disorder in eukaryotic circadian timing
FEBS Letters, EarlyView.Unstructured domains known as intrinsically disordered regions (IDRs) are present in nearly every part of the eukaryotic core circadian oscillator. IDRs enable many diverse inter‐ and intramolecular interactions that support clock function. IDR conformations are highly tunable by post‐translational modifications and environmental conditions, which ...
Emery T. Usher, Jacqueline F. Pelham
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