Results 71 to 80 of about 99,243 (193)
Decomposition solution of nonlinear hyperbolic equations
Mathematical and Computer Modelling, 1990 The application of the decomposition method previously proposed by the author to dissipative wave equations of the form \(u_{tt}- u_{xx}+(\partial /\partial t)(f(u))=g\) is discussed. The initial- boundary value problem \(u_{tt}-u_{xx}+(\partial /\partial t)(u^ 2)=-2 \sin^ 2x\cdot \sin t\cdot \cos t,\) \(u(0,t)=u(\pi,t)=0,\) \(u(x,0)=\sin x,\) \(u_ t(x,
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Nonlinear Regularizing Effect for Conservation Laws
, 2008 20 pagesInternational audienceCompactness of families of solutions --- or of approximate solutions --- is a feature that distinguishes certain classes of nonlinear hyperbolic equations from the case of linear hyperbolic equations, in space dimension one.
Golse, François
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Existence of bounded solutions for nonlinear hyperbolic partial differential equations
Electronic Journal of Differential Equations, 2015 In this article we first establish a new representation formula for bounded solutions to a class of nonlinear second-order hyperbolic partial differential equations.
Toka Diagana, Mamadou Moustapha Mbaye
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Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations
International Journal of Mathematics and Mathematical Sciences, 1989 The decomposition method is applied to examples of hyperbolic, parabolic, and elliptic partial differential equations without use of linearizatlon techniques.
G. Adomian
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Modeling Heavy Metal Sorption and Interaction in a Multispecies Biofilm
Mathematics, 2019 A mathematical model able to simulate the physical, chemical and biological interactions prevailing in multispecies biofilms in the presence of a toxic heavy metal is presented.
Berardino D’Acunto +3 more
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Strict solutions of nonlinear hyperbolic neutral differential equations
Applied Mathematics Letters, 1999 By using the theory of integrated semigroups, conditions for existence, uniqueness, and regularity of solutions to the Cauchy problem \(x_0=\varphi\in C_E:=C([-r,0],E) \) for the neutral functional-differential equation \[ [x(t) - Lx_t]' = A_0 x(t) + F(t,x_t),\qquad t\geq 0,\tag \(*\) \] are obtained.
Adimy, M., Ezzinbi, K.
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Spatial decay estimates for a class of nonlinear damped hyperbolic equations
International Journal of Mathematics and Mathematical Sciences, 2001 This paper is concerned with investigating the spatial decay estimates for a class of nonlinear damped hyperbolic equations. In addition, we compare the solutions of two-dimensional wave equations with different damped coefficients and establish an ...
F. Tahamtani, K. Mosaleheh, K. Seddighi
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Some theoretical results for a class of neural mass equations
, 2010 We study the neural field equations introduced by Chossat and Faugeras in their article to model the representation and the processing of image edges and textures in the hypercolumns of the cortical area V1.
Chossat, Pascal +2 more
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A scaled characteristics method for the asymptotic solution of weakly nonlinear wave equations
Electronic Journal of Differential Equations, 1998 We formulate a multi-scale perturbation technique to asymptotically solve weakly nonlinear hyperbolic equations. The method is based on a set of scaled characteristic coordinates.
Chirakkal V. Easwaran
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Bounder solution on a strip to a system of nonlinear hyperbolic equations with mixed derivatives
Қарағанды университетінің хабаршысы. Математика сериясы, 2016 The system of nonlinear hyperbolic equations with mixed derivatives is considered on the strip. Time variable of the unknown function changes on the whole axis, and the spatial variable belongs to a finite interval.
D.S. Dzhumabaev, S.M. Temesheva
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