Results 31 to 40 of about 74 (70)

On the Blowup Problem for Nonlinear Kirchhoff Equations with Nonlinear Dissipative Terms [PDF]

open access: yes, 2001
We study the blowup problem for the integro-differential equation of hyperbolic type with a nonlinear dissipative term. When the initial energy is smaller than the depth of an associated potential well and the initial displacement is in the exterior of ...
60482/profile-ja.html   +5 more
core  

On radial sine-Gordon breathers

open access: yes, 2000
The problem of the existence of radial sine-Gordon breathers (i.e. radial solutions which are periodic in time and decay at infinity with respect to the spatial variable) in the (d + 1)-dimensional case (where d > 1) is considered.
Alfimov, G.L., Vazquez, L., Evans, Andy
core   +1 more source

A coupled system of mKdV-KdV equations with damping

open access: yesApplied Mathematics in Science and Engineering
In this paper, we study the influence of a damping term on the dynamics of a coupled Korteweg–de Vries type system, namely the mKdV–KdV system, posed on the real line.
Aissa Boukarou   +3 more
doaj   +1 more source

A memory-type thermoelastic laminated beam with structural damping and microtemperature effects: Well-posedness and general decay

open access: yesDemonstratio Mathematica
In previous work, Fayssal considered a thermoelastic laminated beam with structural damping, where the heat conduction is given by the classical Fourier’s law and acting on both the rotation angle and the transverse displacements established an ...
Derguine Mustafa   +2 more
doaj   +1 more source

On a Preliminary Group Classification of a Quasilinear Hyperbolic Equation

open access: yes, 2004
unavailable at this time... Mathematics Subject Classification (2000): 35L70, 70G65. Key words: Quasilinear hyperbolic equation, symmetries, partial differential equations.
Edelstein, R. M., Govinder, K.S.
core  

Ulam-Hyers stability of Black-Scholes equation: Dedicated to Professor Ioan A. Rus on the occasion of his 80th anniversary

open access: yes, 2016
The goal of this paper is to give a Ulam-Hyers stability result for Black-Scholes equation, in which the unknown function is the price of a derivative financial product. Our approach is based on Green function.
LUNGU, Nicolaie, CIPLEA, Sorina Anamaria
core  

General Decay Rates of the Solution Energy in a Viscoelastic Wave Equation With Boundary Feedback and a Nonlinear Source

open access: yes
In a bounded domain, we consider a viscoelastic equation with a nonlinear feedback localized on a part of the boundary and certain initial data. We establish an explicit and general decay rate result, using some properties of the convex functions.
BENABDERRAHMANE, Benyattou   +2 more
core   +1 more source

Upper and lower bounds for the blow-up time for a viscoelastic wave equation with dynamic boundary conditions

open access: yes, 2020
In this paper, we consider a viscoelastic wave equation with dynamical boundary conditions. Under certain assumptions, we give the upper and lower bounds for the blow-up time according to the exponent numbers m and p of the nonlinear boundary damping ...
Liu, Wenjun, Li, Gang, Zhu, Biqing
core  

Existence and asymptotic stability for a semilinear damped wave equation with dynamic boundary conditions involving variable nonlinearity

open access: yes
We study the solvability of a class of quasilinear elliptic equations with (p(x),k(x))(p(x),k(x))-growth structure and with nonlinear boundary conditions in the context of Kelvin-Voigt damping with arbitrary data.
RAHMOUNE, Abita   +2 more
core   +1 more source

Well posedness and control of semilinear wave equations with iterated logarithms

open access: yes, 1999
. Motivated by a classical work of Erd}os we give rather precise necessary and sucient growth conditions on the nonlinearity in a semilinear wave equation in order to have global existence for all initial data.
Cannarsa, Piermarco   +5 more
core  

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