On a characteristic problem for a loaded hyperbolic equation

Abstract In the rectangle Ω = [0, a] × [0, b] the nonlinear hyperbolic equation 𝑢(2,2) = 𝑓(𝑥, 𝑦, 𝑢) with the continuous right-hand side 𝑓 : Ω × ℝ → ℝ is considered. Unimprovable in a sense sufficient conditions of solvability of Dirichlet, Dirichlet–Nicoletti and Nicoletti boundary value problems are established.

Download Full-text

On the fractional order hyperbolic equation with random coefficients

Applicable Analysis ◽

10.1080/00036811.2021.1959555 ◽

2021 ◽

pp. 1-20

Author(s):

Xiaojun Lu

Keyword(s):

Hyperbolic Equation ◽

Fractional Order ◽

Random Coefficients ◽

Order Hyperbolic Equation

Download Full-text

Convergence of a Finite Volume Scheme for a Nonlinear Hyperbolic Equation

Proceedings of the Third International Colloquium on Numerical Analysis ◽

10.1515/9783112314098-008 ◽

1995 ◽

pp. 61-70 ◽

Cited By ~ 1

Keyword(s):

Hyperbolic Equation ◽

Finite Volume ◽

Nonlinear Hyperbolic Equation ◽

Finite Volume Scheme ◽

Volume Scheme

Download Full-text

The problem of starting control with two intermediate moments of observation in the boundary value problem for the hyperbolic equation

Optimal Control Applications and Methods ◽

10.1002/oca.2641 ◽

2020 ◽

Vol 41 (5) ◽

pp. 1773-1782

Author(s):

M. J. Mardanov ◽

H. F. Guliyev ◽

Z. R. Safarova

Keyword(s):

Boundary Value Problem ◽

Hyperbolic Equation ◽

Boundary Value ◽

Starting Control

Download Full-text

The classical solution, weakened on the axis, of the centrally symmetric third mixed problem for a three-dimensional hyperbolic equation of even order in Hölder spaces

Differential Equations ◽

10.1134/s0012266106100065 ◽

2006 ◽

Vol 42 (10) ◽

pp. 1418-1425

Author(s):

S. N. Baranovskaya ◽

N. I. Yurchuk ◽

Charie Koku

Keyword(s):

Hyperbolic Equation ◽

Classical Solution ◽

Mixed Problem ◽

Three Dimensional ◽

Hölder Spaces ◽

Centrally Symmetric ◽

Even Order ◽

Holder Spaces

Download Full-text

Estimates on the dimension of an attractor for a nonclassical hyperbolic equation

Electronic Research Announcements of the American Mathematical Society ◽

10.1090/s1079-6762-06-00162-4 ◽

2006 ◽

Vol 12 (9) ◽

pp. 63-70 ◽

Cited By ~ 2

Author(s):

Delin Wu ◽

Chengkui Zhong

Keyword(s):

Hyperbolic Equation

Download Full-text

EXISTENCE OF PERIODIC SOLUTIONS FOR A FREE BOUNDARY PROBLEM OF HYPERBOLIC TYPE

Journal of Hyperbolic Differential Equations ◽

10.1142/s0219891608001702 ◽

2008 ◽

Vol 05 (04) ◽

pp. 785-806

Author(s):

KAZUAKI NAKANE ◽

TOMOKO SHINOHARA

Keyword(s):

Mathematical Model ◽

Free Boundary ◽

Hyperbolic Equation ◽

Boundary Problem ◽

Free Boundary Problem ◽

Physical Phenomenon ◽

Hyperbolic Type ◽

Existence Of Periodic Solutions ◽

A Free Boundary Problem ◽

Thin Tape

A free boundary problem that arises from the physical phenomenon of "peeling a thin tape from a domain" is treated. In this phenomenon, the movement of the tape is governed by a hyperbolic equation and is affected by the peeling front. We are interested in the behavior of the peeling front, especially, the phenomenon of self-excitation vibration. In the present paper, a mathematical model of this phenomenon is proposed. The cause of this vibration is discussed in terms of adhesion.

Download Full-text