Results 301 to 310 of about 9,926,750 (356)

Periodic solutions of second-order wave equations. I.

Ukrainian Mathematical Journal, 1987
[For part I see ibid. 38, 505-511 (1986); translation from Ukr. Mat. Zh. 38, No.5, 593-600 (1986; Zbl 0632.34035).] The existence of classical periodic solutions of the problem \[ (1)\quad u_{tt}-u_{xx}=g(x,t),\quad ...
Mitropol'skij, Yu. A., Khoma, G. P.
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Second order nonlinear interactions in periodic waveguides

Proceedings of 2004 6th International Conference on Transparent Optical Networks (IEEE Cat. No.04EX804), 2005
We illustrate the results of an investigation of second harmonic generation (SHG) in planar nonlinear waveguides assisted by a Bragg grating, along the propagation direction, reproducing a photonic-bandgap (PBG) structure. The analysis is performed in the time domain using a home-made finite difference time domain (FDTD) computer code that exploits the
D'ORAZIO, Antonella, D. de Ceglia, M. De Sario, PETRUZZELLI, Vincenzo, PRUDENZANO, Francesco   +4 more
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First order periodic problems

1997
This chapter discusses the nonlinear first order differential equation $$\left\{ {\begin{array}{*{20}{c}} {y' = f\left( {t,y} \right){\text{ a}}{\text{.e}}{\text{. on }}\left[ {0,T} \right]} \\ {y\left( 0 \right) = y\left( T \right)} \end{array}} \right.$$ (1.1) where f: [0,T] × R → R is a L 1-Caratheodory function (see definition 3.2).
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Confirmation Theory, Order, and Periodicity

Philosophy of Science, 1963
This paper examines problems of order and periodicity which arise when the attempt is made to define a confirmation function for a language containing elementary number theory as applied to a universe in which the individuals are considered to be arranged in some fixed order.
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Periodic Boundary Layers of Second‐order Fluids

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1966
AbstractThis paper is devoted to a study of boundary layer flow of certain second‐order fluids around a periodically oscillating cylinder. The velocity field is obtained by a process of successive approximations. In the region near the wall the stream lines of the secondary flow are closed loops while away from the wall they are U‐shaped.
Muhuri, P. K., Maiti, M. K.
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Dromion-like structures and periodic wave solutions for variable-coefficients complex cubic–quintic Ginzburg–Landau equation influenced by higher-order effects and nonlinear gain

, 2020
Yuanyuan Yan, Wenjun Liu, Qin Zhou, A. Biswas   +3 more
semanticscholar   +1 more source

Three theorems on linear ordered periodic semigroups

Mathematical Notes of the Academy of Sciences of the USSR, 1969
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Periodic soliton interactions for higher-order nonlinear Schrödinger equation in optical fibers

, 2020
Jigen Chen, Zitong Luan, Qin Zhou, A. K. Alzahrani, A. Biswas, Wenjun Liu   +5 more
semanticscholar   +1 more source

Periodic Extensions of Ordered Groups

1989
A PARTIAL ORDER P on a group G is a subset P of G satisfying the following conditions: (i) PP = 1 (ii) P ∩ P -1 = 1 and (iii) Pg = gP for all g in G.
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Rogue periodic waves in the fifth-order Ito equation

Applied Mathematics Letters, 2020
Hai-Qiang Zhang, Xiaoyan Gao, Zhi-jie Pei, Fa Chen   +3 more
semanticscholar   +1 more source