Results 1 to 10 of about 314,654 (293)

Existence and Asymptotic Stability of the Solution for the Timoshenko Transmission System with Distributed Delay

open access: yesAxioms, 2023
In the present paper, a transmission problem of the Timoshenko beam in the presence of distributed delay is considered. Under appropriate assumptions, we prove the well-posedness by using the semi-group theory.
A. Braik   +4 more
doaj   +1 more source

Asymptotic Behavior of Solutions to a Nonlinear Swelling Soil System with Time Delay and Variable Exponents

open access: yesMathematical and Computational Applications, 2023
In this research work, we investigate the asymptotic behavior of a nonlinear swelling (also called expansive) soil system with a time delay and nonlinear damping of variable exponents.
Mohammad M. Kafini   +2 more
doaj   +1 more source

On the Global Nonexistence of a Solution for Wave Equations with Nonlinear Memory Term

open access: yesFractal and Fractional, 2023
The paper is devoted to the problem of the local existence for a solution to a nonlinear wave equation, with the dissipation given by a nonlinear form with the presence of a nonlinear memory term.
Soufiane Bousserhane Reda   +6 more
doaj   +1 more source

Conserved vectors and solutions of the two-dimensional potential KP equation

open access: yesOpen Physics, 2023
This article investigates the potential Kadomtsev–Petviashvili (pKP) equation, which describes the evolution of small-amplitude nonlinear long waves with slow transverse coordinate dependence.
Khalique Chaudry Masood   +1 more
doaj   +1 more source

Exponential Stability for the Equations of Porous Elasticity in One-Dimensional Bounded Domains

open access: yesMathematics, 2022
This work establishes an exponential stability result for a porous-elastic system, where the dissipation mechanisms act on the porous and elastic equations. Our result completes some of the results in the literature for unbounded domains.
Tijani A. Apalara, Aminat O. Ige
doaj   +1 more source

Generalized Camassa–Holm Equations: Symmetry, Conservation Laws and Regular Pulse and Front Solutions

open access: yesMathematics, 2021
In this paper, we consider a member of an integrable family of generalized Camassa–Holm (GCH) equations. We make an analysis of the point Lie symmetries of these equations by using the Lie method of infinitesimals.
Maria Santos Bruzón   +2 more
doaj   +1 more source

On the Generation of Infinitely Many Conservation Laws of the Black-Scholes Equation

open access: yesComputation, 2020
Construction of conservation laws of differential equations is an essential part of the mathematical study of differential equations. In this paper we derive, using two approaches, general formulas for finding conservation laws of the Black-Scholes ...
Winter Sinkala
doaj   +1 more source

Multiplier methods: A survey [PDF]

open access: yesAutomatica, 1975
Abstract The purpose of this paper is to provide a survey of convergence and rate of convergence aspects of a class of recently proposed methods for constrained minimization - the, so called, multiplier methods. The results discussed highlight the operational aspects of multiplier methods and demonstrate their significant advantages over ordinary ...
openaire   +2 more sources

Lie Symmetry Analysis and Conservation Laws of the Axially Loaded Euler Beam

open access: yesMathematics, 2022
By applying the Lie symmetry method, group-invariant solutions are constructed for axially loaded Euler beams. The corresponding mathematical models of the beams are formulated.
Lili Xia, Xinsheng Ge
doaj   +1 more source

Closed-form solutions and conservation laws of a generalized Hirota–Satsuma coupled KdV system of fluid mechanics

open access: yesOpen Physics, 2021
In this article, a generalized Hirota–Satsuma coupled Korteweg–de Vries (KdV) system is investigated from the group standpoint. This system represents an interplay of long waves with distinct dispersion correlations.
Khalique Chaudry Masood
doaj   +1 more source

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