scholarly journals Moment conditions and lower bounds in expanding solutions of wave equations with double damping terms

2019 ◽  
Vol 114 (1-2) ◽  
pp. 19-36 ◽  
Author(s):  
Ryo Ikehata ◽  
Hironori Michihisa
Keyword(s):  
Lower Bounds ◽  
Wave Equations ◽  
Moment Conditions ◽  
Solutions Of Wave Equations

Path-integral solutions of wave equations with dissipation

1989 ◽  
Vol 62 (19) ◽  
pp. 2201-2204 ◽  
Author(s):  
Cecile DeWitt-Morette ◽  
See Kit Foong
Keyword(s):  
Path Integral ◽  
Wave Equations ◽  
Solutions Of Wave Equations ◽  
Integral Solutions

scholarly journals Travelling-Wave Solutions for Wave Equations with Two Exponential Nonlinearities

2018 ◽  
Vol 73 (10) ◽  
pp. 883-892
Author(s):  
Stefan C. Mancas ◽  
Haret C. Rosu ◽  
Maximino Pérez-Maldonado
Keyword(s):  
Dynamical Systems ◽  
Elliptic Equations ◽  
Hypergeometric Functions ◽  
Wave Equations ◽  
Constant Term ◽  
Travelling Wave ◽  
Travelling Wave Solutions ◽  
Simple Method ◽  
Solutions Of Wave Equations ◽  
Wave Solutions

AbstractWe use a simple method that leads to the integrals involved in obtaining the travelling-wave solutions of wave equations with one and two exponential nonlinearities. When the constant term in the integrand is zero, implicit solutions in terms of hypergeometric functions are obtained, while when that term is nonzero, all the basic travelling-wave solutions of Liouville, Tzitzéica, and their variants, as as well sine/sinh-Gordon equations with important applications in the phenomenology of nonlinear physics and dynamical systems are found through a detailed study of the corresponding elliptic equations.

scholarly journals A Moment Problem for Discrete Nonpositive Measures on a Finite Interval

2011 ◽  
Vol 2011 ◽  
pp. 1-8
Author(s):  
M. U. Kalmykov ◽  
S. P. Sidorov
Keyword(s):  
Lower Bounds ◽  
Moment Problem ◽  
Finite Interval ◽  
Optimal Shape ◽  
Chebyshev System ◽  
Shape Preserving ◽  
Generalized Convex Functions ◽  
Moment Conditions ◽  
Shape Preserving Interpolation ◽  
Discrete Measures

We will estimate the upper and the lower bounds of the integral∫01Ω(t)dμ(t), whereμruns over all discrete measures, positive on some cones of generalized convex functions, and satisfying certain moment conditions with respect to a given Chebyshev system. Then we apply these estimations to find the error of optimal shape-preserving interpolation.

Some properties of the solutions of wave equations

1969 ◽  
Vol 21 (1) ◽  
pp. 138-161 ◽  
Author(s):  
L. J. F. Broer ◽  
L. A. Peletier
Keyword(s):  
Wave Equations ◽  
Solutions Of Wave Equations
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