Results 11 to 20 of about 1,459,968 (190)
The Existence of a Unique Solution of the Hyperbolic Functional Differential Equation
We consider the Z. Szmydt problem for the hyperbolic functional differential equation. We prove a theorem on existence of a unique classical solution and the Carathéodory solution of the hyperbolic equation.
Karpowicz Adrian
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Implicit methods for the simple wave equation [PDF]
A family of finite difference methods is developed for the numerical solution of the simple wave equation. Local truncation errors are cal- culated for each member of the family and each is analyzed for stability.
Tirmizi, S I A, Twizell, E H
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Stabilisation and destabilisation of nonlinear differential equations by noise [PDF]
This paper considers the stabilisation and destabilisa- tion by a Brownian noise perturbation which preserves the equilibrium of the ordinary dierential equation x0(t) = f(x(t)).
Appleby, John A. D. +2 more
core +4 more sources
Complex optical solutions and modulation instability of hyperbolic Schrödinger dynamical equation
Complex hyperbolic Schrödinger equation describes ultra-short pulse propagation in nonlinear media fiber optics. In this paper, new complex solutions for the complex hyperbolic Schrödinger equation are constructed using generalized elliptic equation ...
Wilson Osafo Apeanti +2 more
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We consider the Cauchy problem for the hyperbolic differential equation of the forth order with nonmultiple characteristics. We generalize this problem from the similar Cauchy problem for the hyperbolic differential equation of the third order with ...
Aleksandr A Andreev, Julia O Yakovleva
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Uniform stabilization of a coupled structural acoustic system by boundary dissipation
We consider a coupled PDE system arising in noise reduction problems. In a two dimensional chamber, the acoustic pressure (unwanted noise) is represented by a hyperbolic wave equation.
Mehmet Camurdan
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Spectral problem for the sixth order nonclassical differential equations
In this article we investigate the correctness of boundary value problems for a sixth order quasi-hyperbolic equation in the Sobolev space Lu = −D6t u + ∆u − λu (Dt =∂/∂t , ∆ = Σni=1∂2/∂x2i – Laplace operator, λ – real parameter). For the given operator
A.I. Kozhanov +4 more
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On the Parabolic and Hyperbolic Liouville Equations [PDF]
AbstractWe study the two-dimensional stochastic nonlinear heat equation (SNLH) and stochastic damped nonlinear wave equation (SdNLW) with an exponential nonlinearity $$\lambda \beta e^{\beta u }$$ λ β e β
Oh, Tadahiro +2 more
openaire +5 more sources
On Solving Hyperbolic Trajectory Using New Predictor-Corrector Quadrature Algorithms
In this Paper, we proposed two new predictor corrector methods for solving Kepler's equation in hyperbolic case using quadrature formula which plays an important and significant rule in the evaluation of the integrals.
Baghdad Science Journal
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The exact solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation
In the paper, we study the Boiti-Leon-Manna-Pempinelli equation with (3 + 1) dimension. By using the modified hyperbolic tangent function method, we obtain more new exact solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation, which ...
Xiaofang Duan, Junliang Lu
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